Question

A force of 60 N acts on a body that moves it through a distance of 4m on a horizontal surface. What is the work done, if the direction of force is at an angle of 60° to the horizontal surface?

• A. 100J
• B. 120J
• C. 75J
• D. 120N cm

Answer 1

The correct option is B

120J

Work done:

• Whenever a force displaces a body with some distance, there is work being done.
• Work done is given as $W.D=FS\cos \left(x\right)$

Where F= force applied

S = Displacement covered

x = Angle between force and displacement

Given data:

Force applied F = 60N

Distance covered = 4m

The angle between them = 60°

Applying this to the given data:

$$\begin{gathered} W.D=FS\cos \left(x\right) \\ =60\times 4\times \cos \left(60\right) \\ =240\times \frac{1}{2} \\ =120J \end{gathered}$$

Hence option b is the correct answer