9. A series of pictures depicts a machine used to crush cars starting from left to right. Fill in the appropriate values on the picture if the mass of the pile driver is 1,000-kg, and its height is 20 meters.
If you want the driver to go half as fast, how would you have to change the height? Explain.
If you wanted the driver to go three times faster, how would you have to change the height?
What relationship does height have with velocity?
Suppose you couldn't raise the driver any higher, but still wanted it to hit the car with twice the speed, could you change the mass in order to do this? Why or why not?
What relationship does height have with Kinetic Energy?
Suppose the height was tripled, how much more kinetic energy would the driver have before impact?
How much more work would be done on the car if this happened?
Suppose the impact distance (the amount the driver crushed the car) was .85 cm, based on the orginal values in the picture, how much force was exerted on the car? (230,600 N = 51,800 lb)
Why does a smaller distance (distance of spike driven into the ground) result in the larger force, when it would seem the larger distance would?
To summarize, explain how work relates to potential and kinetic energy:
What must be present in order for work to occur?
10. The two graphs below represent the force and distance required to stretch two different springs. 
Which spring was harder to pull? Explain why.
When released, which spring would do the most work? Justify your answer.
Every spring has what is called a spring constant given by K. The equation that represents the graph of Force vs. Distance is given by: F = -Kx. Answer the following questions: What is k in the context of the equation?
Determine the spring constant for Spring A and B. (Spring A: 200; Spring B: 800)
What can you conclude about the value of K? In other words, what does a small or large value of K mean for a spring?
An arrow is shot straight into the air and achieves a height of 22 meters. If the mass of the arrow is .047-kg, determine how fast it was shot from the bow. (21 m/s)
Determine how long it took the arrow to reach that height using kinematic equations. (2.14 seconds)
Using the time and initial velocity found above, use the K2 equation to show you get a height of 22 meters.
What was the kinetic energy of the arrow at the moment it was shot? (10.4 J)
How much work was done in pulling the bow back? Explain.
11. A projectile is shot with a velocity of 294 m/s 30 degrees AH. Using the kinematic equations, find how long it will take to reach the maximum height. (15 s)
Find the maximum height attained using a kinematic equation. (1103 M)
Use the energy equations to show you get the same maximum height.
For Honors Physics Only: Find the vertical velocity of the projectile at t = 10 seconds using only energy conservation equations (This will require using a kinematic equation to find some information because the projectile will have both potential and kinetic energy at t = 10 s). (49 m/s)
Find the velocity of the projectile at this point. (259 m/s 11 degrees AH).
When will the projectile have the same vertical velocity, but opposite direction? (20 s)
For Both Physics Classes: Given the picture below, sketch the path the box would take when it is dropped by the plane. 
Use energy conservation to find the final vertical velocity to show you get the same answer
What is the final velocity of the box? (172 m/s 54 degrees BH).
12. Explain why just because you can lift an object off the ground, does not necessarily mean you can throw it.
Find how high a football would travel if you threw it straight into the air with a force equal to 10 times its weight over a distance of .40 meters. (4.0 m)
A ball with a mass of 2.0-kg is dropped from a height of 10.0 meters. When it bounces, it loses 10% of its energy due to heat. How high will the ball bounce on the first bounce? (9.0 meters).
How high will it bounce on its fourth bounce? (6.6 meters)
What pattern do you see?
For Honors Physics Only: A ball rolls down a hill and hits a block. The block is moved 2.0 meters and is hit with a force equal to 3.0 times the ball’s weight. Find the height of the hill. (6 m) 
A 10-kg crate is at the bottom of an inclined plane with an angle of 36.87 degrees. If the crate is pushed up to the top, find the gravitational potential energy gained by the crate. (294 J) 
Prove algebraicly that the work done up the incline (F parallel times the hypotenuse of the triangle) is equal to mgh. You will need to know the following: 
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