3. Your friend is waiting below your second story apartment window for you give him the keys so he can come visit. You drop the keys (m = 50 g) from 10 m above the ground to your friend who catches them 1.0 m above the ground. Ignore air-resistance. (a) How much work is done on the keys by gravity during the drop? (b) What is the change in gravitational energy during the drop? If the gravitational potential energy is zero on the ground: (c) What is the gravitational potential energy when the keys were dropped? (d) What is the gravitational potential energy when they reach your friend? If the reference point of zero gravitational potential energy is a person looking out a window below your apartment, 3 m above the ground: (e) What is the gravitational potential energy when the keys were dropped? (f) What is the gravitational potential energy when they reach your friends hand? (g) Does the change in gravitational energy during the drop depend on the choice where the gravitational energy is zero?

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