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Chapter Review
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Frame of reference A vantage point by which motion is measured Solve:
A car travels 30m/s relative to the ground. How fast is the passenger in back seat traveling: a. Relative to the car? b. Relative to the road?
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Distance vs displacement
Distance: total length traveled Displacement: total distance traveled from the starting point to the ending point that is a straight line Solve: You walk 2 km to school. During the day, you walk an additional 3 km between your classes and band practice. You then go to your friend’s house after school who lives 2 km from school and 1 km from your house. What total distance did you travel? What was your total displacement?
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vectors A vector is a quantity that has both a magnitude (value) and direction. Examples: Force, velocity, acceleration, momentum, displacement, weight
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Speed, velocity, and acceleration
Speed = change in distance over time (S= 𝑑 𝑡 ) Velocity = change in distance over time with a direction (V= 𝑑 𝑡 ) Acceleration = change in speed or velocity over time (A= 𝑠 𝑡 )
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Average speed The total distance covered by the total time it takes to cover that distance Solve: You take a trip to Miami (320 miles) and it takes you 5.5 hours to get there. What is your average speed for the trip?
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Acceleration Solve: A car goes from a speed of 40 m/s to a speed of 30 m/s in 5 s. What is the car’s rate of acceleration?
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Newton’s 1st law of motion
An object will remain at rest or in motion unless acted upon by an unbalanced force. Also known as the law of inertia. Inertia: the tendency of an object to remain at constant velocity in a straight line forever
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Newton’s 2nd law of motion
Force = mass x acceleration Net force: the remaining force after a reaction has occurred Solve: A 6N force pushes on a 5 kg mass to the north. A 2N force pushes on the same mass with a force of 2N to the west. Find the resultant net force magnitude and direction acting on the 5 kg mass.
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Newton’s 3rd law of motion
Every action has an equal and opposite reaction
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Momentum and collisions
Momentum: the product of mass times velocity. Measured in kg m/s. P=mv Solve: What is the momentum of a 22 kg mass moving at a velocity of 3 m/s? In a collision, a 2 kg mass traveling at 3 m/s transfers all of its momentum to a stationary 2 kg mass. At what velocity does the stationary mass move off after the collision?
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Friction The force that opposes motion
Types of friction: sliding, rolling, static, and fluid Solve: Write down at least 2 examples of each type of friction on your paper.
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Law of Universal gravitation
All objects in the universe are attracted to one another. Gravity is dependent upon mass. Acceleration of gravity on the Earth is measured as 9.8 m/s2 Acceleration of gravity on the moon is 1.6 m/s2 Weight = mass x gravity Solve: On the surface of the Earth, Arnold weighs 400N. What does he weigh on the surface of the moon?
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Fundamental Forces Gravitational: force of attraction between objects
Electromagnetic: force of attraction or repulsion that is generated by electric current Strong Nuclear: force that keeps the protons and neutrons together in the nucleus of the atom Weak Nuclear: attractive force in nucleus that acts over short distance
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Graphing overview For a distance vs time graph, the slope is equal to the speed For a displacement vs time graph, the slope is equal to the velocity For a speed vs time graph, the slope is equal to the acceleration A horizontal line on a distance vs time graph represents no motion A horizontal line on a speed vs time graph represents constant speed
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Additional practice On the surface of the Earth, a box weighs 57N. What is its mass? A skydiver falls from a height of 10,000M for 5 seconds. What velocity is he traveling after the 5 seconds? A 25 kg cart sits on surface with 10N of friction. A 15N force is applied to it. What is the acceleration of the cart? On a table, a 20 kg mass is connected to a 10 kg mass that hang off the table. Both are connected by a pulley system. What is the acceleration of the 20 kg mass on the table as a result of this?
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