Question

If W₁, W₂ and W₃ represent the work done in moving a particle from A to B along three different paths 1, 2 and 3 (as shown in fig) in the gravitational field of the point mass 'm'. Find the correct relation between W₁, W₂ and W₃.

Options

• W₁ < W₃ < W₂.

• W₁ < W₂ < W₃

• W₁ = W₂ = W₃

• W₁ > W₂ > W₃

Answer 1

W₁ = W₂ = W₃ 

Explanation:

The force of gravity is a conservative force. As we know, the work done by a conservative force is independent of the path taken and is only reliant on the motion's end points.
Because w₁, w₂, and w₃ in the provided pattern have the same end point A and B as illustrated in the diagram below.

So, the correct relation between is W₁ = W₂ = W₃.