Question

A force of $10\text{N}$ acts on a body towards East. The work done by the force, while the body moves a distance of $1\text{m}$ in the North-East direction is

• A. $-3\sqrt{2}\text{J}$
• B. $3\sqrt{2}\text{J}$
• C. $5\sqrt{2}\text{J}$
• D. $-5\sqrt{2}\text{J}$

Answer 1

The correct option is C $5\sqrt{2}\text{J}$


As evident from the diagram, the angle between force$\left(\overrightarrow{F}\right)$ and displacement $\left(\overrightarrow{S}\right)$is $\theta ={45}^{\circ }$
$\Rightarrow W=FS\cos \theta \therefore W=10\times 1\times \cos {45}^{\circ }=5\sqrt{2}\text{J}$