First slide

Work

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 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between W₁, W₂ and W₃

Moderate

A

$W_{1} > W_{2} > W_{3}$
B

$W_{1} = W_{2} = W_{3}$
C

$W_{1} < W_{2} < W_{3}$
D

$W_{2} > W_{1} > W_{3}$

Solution

Gravitational force is a conservative force and work done against it is a point function i.e., does not depend on the path.

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