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)
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.
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