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Physics Review 2012
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Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion
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Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion
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Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion
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Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion
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Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion
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Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion
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Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion
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Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion
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Terms - Measurements time elapsed = duration of an event – there is a beginning, a middle, and an end to any event. distance = path length displacement = change in position mass = measure of inertia or resistance to change in state of motion
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values speed – distance as a function of time velocity – change in position as a function of time acceleration – change in velocity as a function of time centripetal acceleration – Quotient of the velocity squared and the distance from the center of rotation momentum – product of mass and velocity change in momentum = Impulse = change in the product of mass and velocity force = change in momentum per unit of time
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Calculated Values Weight = Force due to Gravity = product of mass and acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of mass and acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Weight = Force due to Gravity = product of massand acceleration due to gravity Universal Gravitational Force is directly proportional to the universal gravitational constant, the mass of one object, the mass of another object and inversely proportional to the distance between the center of the objects squared work – product of parallel component of the force and distance the force is applied through Kinetic energy – product of ½ the mass and the velocity squared.
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Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared
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Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared
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Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared
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Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared
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Calculated Values Power = work done per unit of time Power = energy transferred per unit of time Pressure= Force per unit area Torque = product of perpendicular component of force and distance the force is applied to the center of rotation moment of Inertia – sum of the product of the mass and the distance from the center of rotation squared
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labs Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph = speed /velocity Slope analysis of velocity as a function of time graph =acceleration Area analysis of velocity as a function of time = displacement
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labs Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph = speed /velocity Slope analysis of velocity as a function of time graph =acceleration Area analysis of velocity as a function of time = displacement
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labs Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph = speed /velocity Slope analysis of velocity as a function of time graph =acceleration Area analysis of velocity as a function of time = displacement
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labs Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph = speed /velocity Slope analysis of velocity as a function of time graph =acceleration Area analysis of velocity as a function of time = displacement
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labs Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph = speed /velocity Slope analysis of velocity as a function of time graph =acceleration Area analysis of velocity as a function of time = displacement
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Physics Terms Walking speed Walking Velocity Graphical Analysis Slope analysis of position as a function of time graph Slope analysis of velocity as a function of time graph Area analysis of velocity as a function of time graph Analysis of a Vertical Jump Kinematics Equation analysis of cart up and down incline a=v-v o v =v +v o v= v o + at x=x o +v o t+ 1/2 at 2 v 2 =v o 2 +2a x t 2 Free fall picket fence lab y vs t graph, v y vs t graph, and g vs t graph
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Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile Time of flight is independent of horizontal velocity Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles v ox =v o cos v ox = v x v oy = v o sin v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2
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Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile Time of flight is independent of horizontal velocity Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles v ox =v o cos v ox = v x v oy = v o sin v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2
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Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile Time of flight is independent of horizontal velocity Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles v ox =v o cos v ox = v x v oy = v o sin v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2
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Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile Time of flight is independent of horizontal velocity Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles v ox =v o cos v ox = v x v oy = v o sin v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2
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Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile Time of flight is independent of horizontal velocity Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles v ox =v o cos v ox = v x v oy = v o sin v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2
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Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile Time of flight is independent of horizontal velocity Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles v ox =v o cos v ox = v x v oy = v o sin v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2
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Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile Time of flight is independent of horizontal velocity Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles v ox =v o cos v ox = v x v oy = v o sin v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2
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Labs – kinematics in 1 and 2 dimensions Horizontally fired projectile Time of flight is independent of horizontal velocity Time of flight is dependent on height fired from Horizontal range as a function of angle for ground to ground fired projectiles v ox =v o cos v ox = v x v oy = v o sin v y = v oy + gt X and Y position as a function of time for a projectile fired at angle above or below the horizon X and Y position at maximum height for a projectile fired at an angle above the horizon ground to cliff fired projectiles cliff to ground fired projectiles Quadratic equation to find time of flight y=y o + v oy t + ½ gt 2
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Labs - force Force Table – Graphical Method – tip to tail sketches Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis
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Labs - force Force Table – Graphical Method – tip to tail sketches Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis
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Labs - force Force Table – Graphical Method – tip to tail sketches Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis
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Labs - force Force Table – Graphical Method – tip to tail sketches Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis
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Labs - force Force Table – Graphical Method – tip to tail sketches Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis
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Labs - force Force Table – Graphical Method – tip to tail sketches Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis
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Labs - force Force Table – Graphical Method – tip to tail sketches Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis
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Labs - force Force Table – Graphical Method – tip to tail sketches Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis
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Labs - force Force Table – Graphical Method – tip to tail sketches Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis
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Labs - force Force Table – Graphical Method – tip to tail sketches Analytical Method – Draw vectors from original Determine angles with respect to x axis Determine x components Determine y components Determine sum of x components Determine sum of y components Use Pythagorean Theorem to determine Resultant Force Use inv tan of sum of y components divided by sum of x components to determine angle with respect to x axis
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Labs - Force Fan Cart F=ma Frictionless Cart pulled by falling mass fromula=a= m f g (m f +m c ) Friction Block pulled by falling mass formula = a = m f g – mg ( m f + m b )
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Labs - Force Fan Cart F=ma Frictionless Cart pulled by falling mass fromula= a= m f g (m f +m c ) Friction Block pulled by falling mass formula = a = m f g – mg ( m f + m b )
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Labs - Force Fan Cart F=ma Frictionless Cart pulled by falling mass fromula= a= m f g (m f +m c ) Friction Block pulled by falling mass formula = a = m f g – m b g ( m f + m b )
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Labs - Force Frictionless Cart on incline Formula: a = gsin Friction Block on incline Formula: a = g sin – g cos Friction Block on incline falling mass Formula a = m f g - m b g cos – m b g sin ( m f + m b )
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Labs - Force Frictionless Cart on incline Formula: a = gsin Friction Block on incline Formula: a = g sin – g cos Friction Block on incline falling mass Formula a = m f g - m b g cos – m b g sin ( m f + m b )
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Labs - Force Frictionless Cart on incline Formula: a = gsin Friction Block on incline Formula: a = g sin – g cos Friction Block on incline falling mass Formula a = m f g - m b g cos – m b g sin ( m f + m b )
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Labs - Force Frictionless Cart on incline Formula: a = gsin Friction Block on incline Formula: a = g sin – g cos Friction Block on incline falling mass Formula a = m f g - m b g sin m b g cos ( m f + m b )
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Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0
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Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0
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Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0
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Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0
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Labs - Force Elevator lab – stationary, accelerating up, constant velocity up, decelerating up, stationary, accelerating down, constant velocity down, decelerating down, stationary, free fall Stationary, Constant Up, Constant Down Formula: F N = F g Accelerating up or Decelerating Down Formula: F N = F g + F net Accelerating down or Decelerating Up Formula: F N = F g - F net Freefall Formula: F N =0
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Concept Maps Newtons three laws Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them
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Concept Maps Newtons three laws Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them
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Concept Maps Newtons three laws Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them
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Concept Maps Newtons three laws Law of inertia Mass is a measure of inertia Object at rest stay at rest until net force acts on them Objects in with a constant speed moving in a straight line remain in this state until a net force acts on them
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Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration
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Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration
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Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration
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Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration
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Force concept maps Quantitative Second Law Force is equal to the change in momentum per unit of time Force is equal to the product of mass and acceleration
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Force concept maps Action Reaction Third Law Equal magnitude forces Acting in opposite directions Acting on two objects Acting with the same type of force
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Force concept maps Action Reaction Third Law Equal magnitude forces Acting in opposite directions Acting on two objects Acting with the same type of force
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Force concept maps Action Reaction Third Law Equal magnitude forces Acting in opposite directions Acting on two objects Acting with the same type of force
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Force concept maps Action Reaction Third Law Equal magnitude forces Acting in opposite directions Acting on two objects Acting with the same type of force
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Force concept maps Action Reaction Third Law Equal magnitude forces Acting in opposite directions Acting on two objects Acting with the same type of force
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Force concept maps Non contact forces Force due to gravity Electrostatic and Magnostatic forces Strong and Weak nuclear force
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Force concept maps Non contact forces Force due to gravity Electrostatic and Magnostatic forces Strong and Weak nuclear force
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Force concept maps Contact forces Push – Normal Force – Perpendicular to a surface Friction – requires normal force – opposes motion Pull – Tension – acts in both directions
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Force concept maps Contact forces Push – Normal Force – Perpendicular to a surface Friction – requires normal force – opposes motion Pull – Tension – acts in both directions
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Force concept maps Contact forces Push – Normal Force – Perpendicular to a surface Friction – requires normal force – opposes motion Pull – Tension – acts in both directions
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Force concept maps Contact forces Push – Normal Force – Perpendicular to a surface Friction – requires normal force – opposes motion Pull – Tension – acts in both directions
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Force concept maps Contact forces Push – Normal Force – Perpendicular to a surface Friction – requires normal force – opposes motion Pull – Tension – acts in both directions
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Force concept maps Contact forces Push – Normal Force – Perpendicular to a surface Friction – requires normal force – opposes motion Pull – Tension – acts in both directions
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Force concept maps Contact forces Push – Normal Force – Perpendicular to a surface Friction – requires normal force – opposes motion Pull – Tension – acts in both directions
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Free body diagrams F g = force due to gravity = weight F N = perpendicular push F fr = opposes motion F T = pull = tension
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Free body diagrams F g = force due to gravity = weight F N = perpendicular push F fr = opposes motion F T = pull = tension
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Free body diagrams F g = force due to gravity = weight F N = perpendicular push F fr = opposes motion F T = pull = tension
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Free body diagrams F g = force due to gravity = weight F N = perpendicular push F fr = opposes motion F T = pull = tension
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Free body diagrams F g = force due to gravity = weight F N = perpendicular push F fr = opposes motion F T = pull = tension
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Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force
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Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force
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Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force
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Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force
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Labs – Uniform Circular Motion Swing ride – Tension creates a center seeking force – centripetal force Gravitron- Normal force creates a center seeking force – centripetal force Hotwheel rollercoaster – Weightlessness at top – gravity creates the center seeking force – centripetal force Turntable ride – friction creates a central seeking force – centripetal force
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Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x10 -11 Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2 r(rev) r r 2 t
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Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x10 -11 Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2 r(rev) r r 2 t
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Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x10 -11 Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2 r(rev) r r 2 t
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Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x10 -11 Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2 r(rev) r r 2 t
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Labs – Uniform Circular Motion Cavendish Torsion Balance – F g = G m 1 m 2 r 2 Universal Gravitational Constant – big G = 6.67x10 -11 Nm 2 /kg 2 Mass of the earth calculation mg = G m 1 m e r 2 Earth’s moon orbital velocity calculation Satellite orbital velocity calculation Geostationary Satellite orbital velocity and orbital radius calculation Bipolar Star calculation F c = mv 2 = G m 1 m 2 = F g v= 2 r(rev) r r 2 t
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum (Change)
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum (Change) Force
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work /
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work / Energy
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work / Energy
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Kinematics / Dynamics Relationships Distance / Displacement Time Mass Speed/Velocity acceleration Momentum Force Work / Energy Power
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity
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Kinematics / Dynamics Relationships Distance/DisplacementTimeMass m/s
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s m/s/s=m/s 2
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity = m/s Acceleration =m/s 2
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s kg m/s Acceleration= m/s 2
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s kg m/s-momentum Acceleration= m/s 2
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 kg m/s/s=kg m/s 2
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Kinematics / Dynamics Relationships Distance/DisplacementTimeMass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton=kg m/s 2
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 kg m/s 2
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton =kg m/s 2
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force= Newtons=kg m/s 2 N m = Kg m/s 2 m
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newtons = kg m/s 2 N m = Kg m 2 /s 2
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton=kg m/s 2 Work /
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=Newton=kg m/s 2 Work / Energy = Joule = N m = kg m 2 /s 2
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s = kg m 2 /s 3
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s = kg m 2 /s 3 = N m = J s s
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 kg m 2 /s 2 /s = kg m 2 /s 3 = N m = J = W s s
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Kinematics / Dynamics Relationships Distance/DisplacementTime Mass Speed/Velocity=m/s Momentum=kg m/s Acceleration=m/s 2 Force=N=kg m/s 2 Work / Energy=J = N m = kg m 2 / s 2 Power kg m 2 /s 2 /s = kg m 2 /s 3 = N m = J = W s s
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Graphical Analysis Position Time
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Graphical Analysis Position Time
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Graphical Analysis Position Time
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stopped Position Time
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Graphical Analysis Position Time
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Constant velocity –constant momentum – no acceleration Position Time
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Graphical Analysis Position Time
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Constant velocity – constant momentum – no acceleration Position Time
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Graphical Analysis Position Time
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Increasing velocity – increasing momentum - accelerating Position Time
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Graphical Analysis Position Time
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Increasing velocity – increasing momentum - accelerating Position Time
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Graphical Analysis Position Time
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Decreasing velocity – decreasing momentum - decelerating Position Time
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Graphical Analysis Position Time
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Decreasing velocity – decreasing momentum - decelerating Position Time
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Graphical Analysis O m/s
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Velocity vs Time Velocity 0 m/s time
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Stopped O m/s
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Accelerating O m/s
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accelerating O m/s
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decelerating O m/s
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decelerating O m/s
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Constant velocity O m/s
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Constant Velocity O m/s
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Graphical Analysis Slopes Postion time
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Slope = velocity Postion time
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Velocity vs Time Slope Velocity time
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Slope of V vs T = Acceleration Velocity time
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Area of V vs T = ? Velocity time
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Area of V vs T = Distance traveled Velocity time
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Area of V vs T = Distance traveled Velocity time
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Force vs Distance Force Distance
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Force vs Distance Force spring constant K = N m Distance
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Force vs Distance Force E.P.E=1/2 Kx 2 Distance
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Force vs Distance Force Area = Work Distance
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