Question

A 115 kg anvil is 85.0 m above the Coyote. How much gravitational

potential energy does it have?

Answer 1

`\boxed {\boxed {\sf 95,795 \ Joules}}`

Step-by-step explanation:

Gravitational potential energy is found using the following formula.

`E_p=m*g*h`

where m is the mass, g is the gravitational acceleration, and h is the height.

1. Define Variables

We know the anvil's mass is 115 kilograms and it's 85.0 meters above the coyote. Assuming this is on Earth, the acceleration due to gravity is 9.8 m/s²

`m=115 \ kg \\h= 85.0 \ m \\g= 9.8 \ m.s^2`

2. Calculate Potential Energy

Substitute the values into the formula.

`E_p=(115 \ kg)*(9.8 \ m/s^2)*(85.0 \ m)`

Multiply the first two numbers together.

`E_p=1127 \ kg*m/s^2*(85.0 \ m)`

Multiply again.

`E_p=95795 \ kg*m^2/s^2`

• 1 kilogram square meter per square second is equal to Joule.
• Therefore, our answer of 95795 kg*m²/s² is equal to 95795 J

`E_p=95795 \ J`

The anvil has 95,795 Joules of gravitational potential energy.