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Conservative nature of gravitational force
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A gravitational field is present in a region and a mass is shifted from A to B through different paths as shown. If $W_1$, $W_2$ and $W_3$ represent the work done by the gravitational force along the respective paths, then:
Gravitational force is conservative, so work done by it is path independent. Hence $W_1=W_2=W_3$.
