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Unit 1-3 Review 1
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Calculate acceleration, distance, velocity & time Read position-time, velocity time graphs Define velocity, speed and acceleration 2
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If Joe speeds up from 30 m/s to 45 m/s in 3 seconds, what is his acceleration? A = 15 m/s ÷ 3 sec = 5 m/s/s 3
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If Jill drives at 30 m in 6 seconds. What is her velocity? V = D ÷ t 30 m ÷ 6 sec 5 m/s 4
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If Chase drives 30 m/s for 7 seconds, how far has he gone? D = V × T 30 m/s × 7 sec = 210 m 5
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If Seth travels 300 m at 15 m/s, how long did it take him to get there? T = D ÷ V 300 m ÷ 15 m/s = 20 sec 6
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What is the velocity of the following object? It appears that the object went 80 cm in 0.4 sec. V = Δx / t = 80 cm / 0.4 sec = 200 cm/s 7
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In this position time graph, which object has a positive velocity? Negative? Not moving? Going the fastest? Remember that the steeper the graph, the faster the speed and that negative graphs have a negative velocity. 8
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Which graph shows a positive acceleration? Negative? Zero? Remember that the slope of an x-t gives the velocity and the slope of the v-t gives the acceleration. 9
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Distance ÷ time Zero if not moving Positive in a positive direction Negative in a negative direction The slope of an x-t (position-time) graph Instantaneous at a given instant Average looking at totals (change in) = acceleration × time 10
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Change in velocity ÷ time Slope of a velocity-time (v-t) graph Speeding up Slowing down Changing direction If an object does not accelerate, it moves at a constant velocity 11
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Starting position? ◦ High positive Starting velocity? ◦ Zero Final velocity? ◦ High negative Acceleration? ◦ Negative Motion? ◦ Speeding up (both v-t and a-t on the bottom) 12
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F = ma Net force Newton’s Laws Momentum 13
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Force = mass × acceleration If a 7 kg ball is accelerated at 3 m/s/s how much force is needed? F = 7kg × 3 m/s/s = 21 N 14
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If a rock is hanging from a rope and there is 70 N of tension force up from the rope and 70 N of gravitational force down from the Earth, what is the net force? ZERO!!! Equilibrium – all forces cancel each other out, they are balanced. 15
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If a rock is sliding down a ramp with 12 N of force and there is 5 N of friction on the ramp, what is the net force? 7N down 12 – 5 = 7 16
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Net force is Zero for objects at rest or moving at a constant velocity (cruise control). Positive for objects with a positive acceleration (speeding up) Negative for objects with a negative acceleration (slowing down) 17
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An object in motion or at rest will stay in motion or at rest unless acted on by an unbalance (net) force. Law of Inertia Objects want to keep doing what they are doing. 18
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An object will accelerate in the direction force is applied, and force equals mass times acceleration. F = ma It takes more force to accelerate a heavier mass at the same rate. ◦ A 5 year old can’t throw as hard or fast as a 15 year old. 19
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For every action force, there is an equal and opposite reaction force. Action-reaction forces are equal in size and opposite in direction. 20
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P = mv What is the momentum of a 5 kg rock moving at 2 m/s? P = 5 kg × 2 m/s = 10 kg m/s 21
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W = FD P = W/t Ek = ½ mv 2 Eg = mgy 6 forms of energy 22
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Work = force × distance Measured in Joules Is the transfer of energy into or out of a mechanical system If 40 N of force is applied over 3 m, how much work is done? W = 40 N × 3 m = 120 Joules 23
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Power = work ÷ time The rate at which work is done. Measured in watts If Joe uses 400 Joules of work in 40 seconds, how much power did he use? P = 400 J ÷ 40 sec = 10 watts 24
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Kinetic energy = ½ the mass times the velocity squared. Energy of motion – the faster it is moving, the more Ek it has. If the velocity is doubled, the kinetic energy is multiplied by 4. If a 3 kg ball is moving at 2 m/s how much kinetic energy does it have? Ek = ½ mv 2 =.5×3×2×2 = 6 Joules 25
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Potential energy = mass × gravity × height Stored energy Energy of position – the higher an object, the more potential energy it has. Molly has a mass of 60 kg, and is 40 m off the ground. How much potential energy does she have? Eg = mgy = 60 × 9.8 × 40 = 23520 Joules 26
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Electrical – anything you plug in, power lines Nuclear – fission and fusion of atoms Chemical – in foods and fuels Radiant – anything that gives light aka Electromagnetic Thermal – anything that gets hot Mechanical – (Eg and Ek) Motion and position of objects. 27
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