NEET Physics Potential Energy MCQ Question
Consider a diagram where a ball is placed at a height h above the ground. The gravitational potential energy at this height is given by V(h) = mgh. Which of the following statements best describes the mathematical relationship between the gravitational force acting on the ball and its potential energy as the height changes?

The gravitational force is the negative derivative of potential energy with respect to height.
The gravitational force is the positive derivative of potential energy with respect to height.
The gravitational force is equal to the potential energy divided by the height.
The gravitational force is independent of the potential energy.
Correct Answer
Detailed Explanation
The gravitational force is the negative derivative of potential energy V(h) = mgh with respect to height, as indicated by the equation dV/dh = -mg.
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