A 3.23 kg ball is attached to a ceiling by a 1.31 m long string. The height of the room is 5.75 m
What is the gravitational potential energy of the ball relative to a point at the same elevation as the ball?
To calculate the gravitational potential energy of the ball relative to a point at the same elevation, we can use the formula:
Gravitational Potential Energy (PE) = mass (m) x acceleration due to gravity (g) x height (h)
First, let's determine the height (h) of the ball relative to the point at the same elevation. The height is given as 5.75 m, so h = 5.75 m.
Next, we need to find the mass (m) of the ball, which is given as 3.23 kg.
The acceleration due to gravity (g) is approximately 9.8 m/s^2 on Earth.
Now, we can substitute these values into the formula:
PE = 3.23 kg x 9.8 m/s^2 x 5.75 m
Calculating this expression will give us the gravitational potential energy of the ball relative to a point at the same elevation.