Work Power and Energy 1 Question 5
6. 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 gravitational field of a point mass $m$. Find the correct relation between $W _1, W _2$ and $W _3$
$(2003,2 M)$
(a) $W _1>W _2>W _3$
(b) $W _1=W _2=W _3$
(c) $W _1<W _2<W _3$
(d) $W _2>W _1>W _3$
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Answer:
Correct Answer: 6. (b)
Solution:
- Gravitational field is a conservative force field. In a conservative force field work done is path independent
$$ \therefore \quad W _1=W _2=W _3 $$
