1. (1 pt.) what is the equation for kinetic energy?

2. (1 pt.) what is the equation for gravitational potential energy?

show your work on all math problems including units and the equation that you used.
3. (2 pts) imagine a 15 kg block moving with a velocity of 20 m/s to the left. calculate the kinetic energy of this block.

4. (2 pts) calculate the kinetic energy of a block which is 30 kg (twice as massive as in question #3). it is moving with a velocity of 20 m/ s to the left.

5. (2 pts) a 50 kg hiker is standing on the edge of a cliff. find the hiker’s gravitational potential energy if the cliff is 30 m high.

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6. (2 pts) find the gravitational potential energy of the 50 kg hiker if the cliff is 60 m high.

7. (2 pts) suppose a skydiver (mass = 80 kg) is falling toward the earth. calculate the skydiver’s gravitational potential energy at the point when the skydiver is 100 m above the earth.

8. (2 pts) what is the kinetic energy of the 80 kg skydiver if he is falling at 60 m/sec?

9. (2 pts) calculate the total mechanical energy for the skydiver in questions 7 & 8.
(total me is the sum of kinetic and potential energy. use your answers from 7 & 8 to make this calculation.

10. (2 pts) what is the kinetic energy of a 110 kg linebacker rushing towards his football opponent? the linebacker is moving at a velocity of 5 m/ s toward his target

11. calculate the total mechanical energy of a pendulum (mass 4 kg) as it swings from its highest point to its lowest point. use your equations for gravitational potential energy and kinetic energy to determine these values based on the data given below. total energy is the sum of gravitational potential energy and kinetic energy. in this problem, round gravity to g = 10 m/s2.

a. (5 pts) complete this table (show your work in the blue blocks below! )
highest point lowest point
velocity (m/s) 0.0 5.0
height (m) 1.25 0.0

kinetic energy (j)
potential energy (j)

total energy (j)

11 b. (2 pts) what can you conclude about the total mechanical energy of a pendulum as it swings back and forth?