Question

A variable force $\overline{F}-(x^2\hat{i}+xy\hat{j})$ N is acting on a particle which from point (0,0) to (1 m, 2 m) along the path OAB as shown. Find work done by force.

• A. $\left(\frac{1}{3}\right)$ J
• B. $\left(\frac{5}{3}\right)$ J
• C. $\left(\frac{7}{3}\right)$ J
• D. 2J

Answer 1

The correct option is C $\left(\frac{7}{3}\right)$ J

$O\to A,w_1={\int }_0^1{x}^{2}dx=\left(\frac{1}{3}\right)JA\to B,w_2={\int }_0^{2}ydy=2JWT=(2+\frac{1}{3})=\left(\frac{7}{3}\right)J$