Question

A force of $5N$ moves the particle through a distance of $10m$. If $25joule$ of work is performed then the angle between the force and the direction of motion is

• A. $0°$
• B. $90°$
• C. $30°$
• D. $60°$

Answer 1

The correct option is D

$60°$

Step 1: Given data

Work done $\mathrm{W}=25J$

Force, $F=5N$

Distance, $S=10m$

Step 2: Calculating the angle

Let the angle required be $\theta °$

The angle is calculated below:

$$\begin{gathered} \mathrm{W}=FS\cos \theta \\ \cos \theta =\frac{\mathrm{W}}{FS} \\ \cos \theta =\frac{25J}{5N\times 10m} \\ \cos \theta =\frac{1}{2} \\ \theta =60° \end{gathered}$$

The angle between the force and the direction of motion is $60°$

Hence, option (d) is correct