Question

A body moves a distance of 10 m along a straight line under the action of a force of 5 N. If the work done is 25 joule, the angle which the force makes with the direction of motion of the body is

• A. $0^{\circ }$
• B. ${30}^{\circ }$
• C. ${60}^{\circ }$
• D. ${90}^{\circ }$

Answer 1

The correct option is C

${60}^{\circ }$

$W=Fscos\theta$
$\Rightarrow cos\theta =\frac{W}{Fs}=\frac{25}{50}=\frac{1}{2}$
$\Rightarrow \theta =co{s}^{-1}\left(\frac{1}{2}\right)$
$\Rightarrow \theta ={60}^{\circ }$