Question

A body acted upon by a force of $50\text{N}$ is displaced through a distance $10\text{m}$ in a direction making an angle of ${60}^{\circ }$ with the force. The work done by the force is
(Take $W=\overrightarrow{F}.\overrightarrow{S}$, where $W$ is work done, $\overrightarrow{F}$ is force and $\overrightarrow{S}$ is the displacement)

• A. $200\text{J}$
• B. $100\text{J}$
• C. $300\text{J}$
• D. $250\text{J}$

Answer 1

The correct option is D $250\text{J}$

Work done by a force $\overrightarrow{F}$ in moving a body through diplacement $\overrightarrow{S}$
$W=\overrightarrow{F}.\overrightarrow{S}=FS\cos \theta =50\times 10\times \cos {60}^{\circ }=50\times 10\times \frac{1}{2}=250\text{J}.$