Question

A cart at the top of a 24 m hill has a mass of 32 kg. What is the cart's gravitational potential energy?​

Answer 1

`\boxed {\boxed {\sf 7526.4 \ J}}`

Step-by-step explanation:

Gravitational potential energy is energy due to position above the ground. It is found using the following formula.

`GPE= mgh`

where m is the mass, g is the acceleration due to gravity, and h is the height.

The cart is 32 kilograms and it is on a 24 meter hill. Assuming this is on earth, the acceleration due to gravity is 9.8 meters per square second.

`m= 32 \ kg \\g= 9.8 \ m/s^2 \\h= 24 \ m`

Substitute the values into the formula.

`GPE= (32 \ kg)(9.8 \ m/s^2)(24 \ m)`

Multiply the first two numbers.

`GPE=313.6 \ kg*m/s^2 (24 \ m)`

Multiply again.

`GPE= 7526.4 \ kg*m^2/s^2`

• 1 kg*m²/s² is equal to 1 Joule.
• Our answer is also 7526.4 Joules.

`GPE= 7526.4 \ J`

The cart's gravitational potential energy is 7526.4 Joules.