1. 
Which of the following best represents efficiency?
A. Final time compared to initial time B. Work output compared to work input C. Final velocity compared to initial velocity D. Momentum after compared to momentum before


2. 
A wad of putty is thrown against a wall as shown. The wad of putty sticks against the wall. Which of the following statements best applies the application of the law of conservation of energy to this collision? A. All energy has been lost. B. Kinetic energy is converted to heat. C. Kinetic energy is converted to momentum. D. Kinetic energy is converted to potential energy.


3. 
The graph below shows how the force applied to an object varies with distance.
What is the work done to move the object from 10 m to 30 m? A. 40 J B. 80 J C. 120 J D. 240 J


4. 
A projectile is fired through a fixed block of wood. The diagram shows the projectile above point P just before it enters the block and again above point Q just after leaving the block.
Which of the graphs best illustrates how the kinetic energy of the projectile varies over the time it takes to travel from P to Q?


5. 
An electric winch operates from a 120 V source at 3.5 A. The winch lifts a 360 kg object 2.5 m vertically in 45 s. What is the efficiency of the winch? A. 4.8% B. 17% C. 19% D. 47% 

6. 
A crane lifts a 3900 kg shipping container through a vertical height of 45 m in 8.0 s. What is the minimum average power that the crane motor must supply? A. 2.7 ´10^{3} W B. 7.7 ´10^{3} W C. 2.1´10^{5} W D. 1. 7 ´10^{6} W


7. 
A child rolls a ball up a hill as shown. The same child then throws an identical ball up the hill.
When both balls end up in the same location on the hill, which of the following correctly describes the potential energy change for each ball? A. Both balls have the same potential energy change. B. There is no potential energy change for either ball. C. The thrown ball has a greater potential energy change than the rolled ball. D. The thrown ball has a smaller potential energy change than the rolled ball.


8. 
A 950 kg elevator ascends a vertical height of 410 m with an average speed of 9.1 m/s. What average power must the lifting motor supply? A. 8.6 ´10^{3} W B. 8.5 ´10^{4} W C. 4.2 ´10^{5} W D. 3.8 ´10^{6} W


9. 
A 55.0 kg athlete steps off a 10.0 m high platform and drops onto a trampoline. As the trampoline stretches, it brings him to a stop 1.00 m above the ground. How much energy must have been momentarily stored in the trampoline when he came to rest? A. 0 J B. 539 J C. 4 850 J D. 5 390 J


10. 
A force is applied to an 8.0 kg object initially at rest. The magnitude of the net force varies with distance as shown. What is the speed of the object after moving 15 m? A. 5.0 m/s B. 6.1 m/s C. 7.1 m/s D. 8.7 m/s


11. 
A 16 kg object is dropped from a height of 25 m and strikes the ground with a speed of 18 m/s. How much heat energy was produced during the fall? A. 0 J B. 1 300 J C. 2 600 J D. 3 900 J


12. 
A change in kinetic energy is equivalent to A. work. B. power. C. impulse. D. momentum.


13. 
What is the minimum work done when a 65 kg student climbs an 8.0 mhigh stairway in 12 s? A. 420 J B. 520 J C. 5 100 J D. 6 200 J


14.  A 170 kg cart and rider start from
rest on a 20.0 m high incline.
a) How much energy is transformed to heat? (5 marks)
b) What is the average force of friction acting on the cart? (2 marks)


15. 
A 75 kg Olympic skier takes 20 s to reach a speed of 25 m s from rest while descending a uniform 16° slope.
What is the coefficient of friction between the skis and the slope surface? (7 marks)


16.  As a compound bow was drawn back, the
applied forces and displacements were recorded.
a) Plot a force vs. displacement graph below. (2 marks) b) How much energy was stored in this compound bow? (3 marks)


17. 
A student plots the graph below, showing the kinetic energy E_{k} of a motorbike versus the square of its velocity v^{2}_{ }. a) What is the slope of this graph? (2 marks) b) What does the slope represent? (2 marks) c) Using the axes below, sketch the graph of kinetic energy E_{k} versus velocity v for this motorbike. There is no need to plot any data points. (1 mark)


18. 
A daredevil is attached by his ankles to a bungee cord and drops from the top of a bridge. The force exerted on the daredevil by the bungee cord is measured against the change in length, x , of the cord as the cord is stretched, slowing the daredevil’s fall.
a) Plot a graph of force vs. change in length on the graph below. (2 marks)
b) Use the graph to determine the work done by the bungee cord during its stretch. (3 marks)

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