Physics

To calculate the work done by gravity, we can follow these steps:

Analyze the situation

The ball is initially hanging vertically at point P, and the string is at an angle at point Q.

Gravity acts downward, and the displacement is along the arc of the circle that the ball moves along due to the applied horizontal force.

The work done by gravity depends on the vertical displacement of the ball.

Vertical displacement of the ball

Initially, at point P, the ball is at height (since the string is vertical).

At point Q, the height of the ball above the lowest point (the vertical equilibrium position) is .

The vertical displacement is the change in height:

Work done by gravity

The work done by gravity is given by:

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