Question

If $W_1$, $W_2$ and $W_3$ 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 figure) 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

The correct option is B $W_1=W_2=W_3$

In a conservative field work done does not depend on the path, and gravitational field is a conservative field.
$\therefore W_1=W_2=W_3$