Question

A particle is moved from $(0,0)$ to $(a,a)$ 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. $W_1=2W_2$
• B. $W_1=W_2$
• C. $W_2=2W_2$
• D. $W_2=4W_1$

Answer 1

The correct option is B $W_1=W_2$

The force $\overrightarrow{F}=3\hat{i}+4\hat{j}$ is constant
and non dissipating and hence conservative

$W_1=W_2$
Final Answer: (a)