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An object of mass 12 kg is at a certain height above the ground. If the gravitational potential energy of the object is 480 J, find the height at which the object is with respect to the ground. (g = 10 ms–2)

Question

An object of mass 12 kg is at a certain height above the ground. If the gravitational potential energy of the object is 480 J, find the height at which the object is with respect to the ground. (g = 10 ms–2)

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Solution

To find the height at which the object is with respect to the ground, we can use the formula for gravitational potential energy:

Gravitational Potential Energy (PE) = mass (m) * gravitational acceleration (g) * height (h)

Given that the mass of the object is 12 kg and the gravitational potential energy is 480 J, and the gravitational acceleration is 10 m/s^2, we can rearrange the formula to solve for height:

height (h) = PE / (m * g)

Plugging in the values, we get:

height (h) = 480 J / (12 kg * 10 m/s^2)

Simplifying the equation, we get:

height (h) = 4 m

Therefore, the object is at a height of 4 meters above the ground.

This problem has been solved

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