Question

if $W_1,W_2$ and $W_3$ represent the work done by gravitational force in moving a particle from A to B along three different paths 1, 2, 3 respectively (as shown) in the gravitational field of a point mass m, find the correct relation between $W_1,W_2$ and $W_3$ :-

• A. $W_1>W_2>W_3$
• B. $W_1=W_2=W_3$
• C. $W_1<W_2<W_3$
• D. $W_2>W_1>W_3$

Answer 1

Answer: (B)

$W_1=W_2=W_3$

work done by gravitational force do not depend upon the path, it only depend upon the initial & final position of the object.

Initial & final position of the object of all 3 path is same So, work done is same.

so the Answer is (B) W1=W2=W3