Answer:
[tex]\boxed {\boxed {\sf 1,960 \ J}}[/tex]
Explanation:
Potential energy is the energy an object possesses due to its position. It is calculated using the following formula:
[tex]PE= mgh[/tex]
The mass (m) of the rock is 10.0 kilograms. The rock is on top of a hill that is 20.0 meters tall (h). Assuming this situation is occurring on Earth, the acceleration due to gravity is 9.8 meters per second squared (g).
- m= 10.0 kg
- g= 9.8 m/s²
- h= 20.0 m
Substitute the values into the formula.
[tex]PE= (10.0 \ kg)(9.8 \ m/s^2)(20.0 \ m)[/tex]
Multiply the first two values together.
[tex]PE=(98 \ kg*m/s^2)(20.0 \ m)[/tex]
Multiply again.
[tex]PE= 1960 \ kg*m^2/s^2[/tex]
Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule, so our answer of 1960 kg*m²/s² is equal to 1960 J.
[tex]PE= 1960 \ J[/tex]
The rock has 1,960 Joules of potential energy.
