# Velocities, distances by Law of conservation of Energy.

Q. Bouncing a ball:

Let g be the acceleration of gravity near the Earth's surface. The acceleration of gravity near the surface of the Moon is (approximately) g/6. Using the law of conservation of energy, i.e. the principle of conservation of energy, solve the following.

(a) Suppose that a ball is dropped from 9 feet above the Earth.

Taking g = 32 feet/second square, at what speed is the ball traveling as it reaches the Earth?

(b) Suppose that a ball is drpped from 9 feet above the Moon. At what speed is the ball traveling as it reaches the Moon?

(c) Suppose that a ball dropped from height he above the Earth's surface strikes the ground with the same speed as a ball dropped from a height hm above the Moon's surface. Calculate hm/he.

https://brainmass.com/physics/conservation-of-energy/velocities-distances-law-conservation-energy-102864

#### Solution Preview

Please see the solution in the attached word file 'Solution_Bouncing_ball_01_by_EnergyConservation.doc'

The soliution of this problem is very simple. Throughout, you have to note that total energy of the ball ...

#### Solution Summary

The velocities and distances by law of conservation of energy is determined. The acceleration of gravity near the surface are determined.