Answer:
[tex]\boxed {\boxed {\sf 98 \ J}}[/tex]
Explanation:
We are asked to find the potential energy of a bowling ball.
Potential energy is the energy an object possesses due to its position. It is calculated using the following formula.
[tex]E_p= mgh[/tex]
In this formula, m is the mass, g is the acceleration due to gravity, and h is the height.
The bowling ball has a mass of 2 kilograms. The hill is 5 meters high. Assuming this situation is occurring on Earth, the acceleration due to gravity is 9.8 meters per second squared.
- m= 2 kg
- g= 9.8 m/s²
- h= 5 m
Substitute the values into the formula.
[tex]E_p= (2 \ kg )(9.8 \ m/s^2)(5 \ m)[/tex]
Multiply the numbers together.
[tex]E_p=19.6 \ kg*m/s^2(5 \ m)[/tex]
[tex]E_p=98 \ kg*m^2/s^2[/tex]
Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule. Our answer of 98 kg*m²/s² is equal to 98 Joules.
[tex]E_p= 98 \ J[/tex]
The bowling ball has 98 Joules of potential energy.
