A 1.06 kg ball is attached to a ceiling by a

1.25 m long string. The height of the room is
5.82 m
The acceleration of gravity is 9.8 m/s
2
.
What is the gravitational potential energy
associated with the ball relative to the ceiling?
Answer in units of J

47.47

To calculate the gravitational potential energy, we need to use the formula:

Gravitational Potential Energy = mass * acceleration due to gravity * height

In this case:
- Mass (m) = 1.06 kg
- Acceleration due to gravity (g) = 9.8 m/s^2
- Height (h) = 5.82 m

Now let's plug in these values into the formula to calculate the gravitational potential energy:

Gravitational Potential Energy = 1.06 kg * 9.8 m/s^2 * 5.82 m

Simplifying this equation, we have:

Gravitational Potential Energy = 59.39316 J

Therefore, the gravitational potential energy associated with the ball relative to the ceiling is approximately 59.393 J.