# Potential and Kinetic Energy

1. How much potential energy does an object have that has a mss of 10 kg and is 4 meters off the ground on earth?

2. How much potential energy does an object have that has a mass of 10 kg and is 4 meters off the ground on the moon where gravity is 1.6(m/s^2)?

3. If the object falls half way to the ground so that its height is 2m, how much total energy will it have?

4. How much potential energy does it have at a height of 2 meters?

5. How much kinetic energy does it have at 2 meters?

6. If an object is not moving, how much kinetic energy does it have?

https://brainmass.com/physics/solar-system/potential-kinetic-energy-31133

## SOLUTION This solution is **FREE** courtesy of BrainMass!

1. How much potential energy does an object have that has a mass of 10 kg and is 4 meters off the ground on earth?

Potential energy = m g h

m= 10 Kg

g= 9.81 m/s^2

h= 4 m

Therefore PE = mgh = 10 x 9.81 x 4 = 392.4 J

2. How much potential energy does an object have that has a mass of 10 kg and is 4 meters off the ground on the moon where gravity is 1.6(m/s^2)?

Potential energy = m g h

m= 10 Kg

g= 1.6 m/s^2

h= 4 m

Therefore PE = mgh = 10 x 1.6 x 4 = 64 J

3. If the object falls half way to the ground so that its height is 2m, how much total energy will it have?

The total energy will remain the same. Thus on the moon it will be 64 J and on the earth 392.4 J

4. How much potential energy does it have at a height of 2 meters?

Half of the energy as it has at 4 m

Thus on moon = Â½ (64)= 32 J

On Earth = Â½ ( 392.4)=196.2 J

This can also be calculated as:

Moon

Potential energy = m g h

m= 10 Kg

g= 1.6 m/s^2

h= 2 m

Therefore PE = mgh = 10 x 1.6 x 2 = 32 J

Earth

Potential energy = m g h

m= 10 Kg

g= 9.81 m/s^2

h= 2 m

Therefore PE = mgh = 10 x 9.81 x 2 = 196.2 J

5. How much kinetic energy does it have at 2 meters?

KE at 2 meters = Loss in PE

Thus on moon it is equal to 32 J =(64-32)

On earth it is equal to 196.2 J = (392.4-196.2)

6. If an object is not moving, how much kinetic energy does it have?

If an object is not moving it will have no Kinetic energy as Kinetic Energy = Â½ m V^2 and if the object is not moving it has zero velocity (V)

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