Question

A body covers a distance of $10$ meter under the influence of $5$ N force. If the work done is $25$ Joule, then the angle between the force and the displacement will be

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

Answer 1

Answer: (C)

60${}^o$

Given
$s=10m$, $F=5N$, $W=25J$
For the given problem
$W=F.s\cos \theta$

$\Rightarrow \cos \theta =\frac{W}{F.s}$

$\therefore \cos \theta =\frac{25}{\left(5\right)\left(10\right)}$

$\therefore \cos \theta =\frac{1}{2}$

$\Rightarrow \theta ={\cos }^{-1}\left(\frac{1}{2}\right)={60}^{\circ }$