Question

A particle is moved from $O(0,0)$ to $P(a,a)$ under a force $\overrightarrow{F}=(3\hat{i}+4\hat{j})$ from two paths. Path $1$ is OP and path $2$ is OQP. Let $W_1$ and $W_2$ be the work done by this force in these two paths. Then?

• A. $W_1=W_2$
• B. $W_1=2W_2$
• C. $W_2=2W_1$
• D. $W_2=4W_1$

Answer 1

Answer: (A)

$W_1=W_2$

Work done is a point function which means it depends on the end points but not the path followed to reach the end points.Since in the given case the end points are same which ever path taken (path 1 or path 2) work done by the given force will be same.