Question

questions. A force of 8 N causes a displacement of 4 m in a body in the direction of force. Calculate the work done. (Ans. 32 Nm)
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Answer 1

Answer :

The work done by the body = 32 J

Given :

• Magnitude of force acting on a body = 8 N
• Displacement caused by the force = 4 m

To find :

• Word done by the body = ?

Solution :

Formula to calculate the word done by the body :

• W = F • cosθ • S

where,

• W denotes the word done by the body
• F denotes the magnitude of force
• cosθ denotes the component of force
• S denotes the displacement

As the force which is acting on the body is causing displacement in the direction of force. So, the value of θ = 0°.

In the mathematical expression,

⇒ W = F cosθ S

⇒ W = F cos0° S

⇒ W = F × 1 × S [cos0° = 1]

⇒ W = F × S

When, the displacement in the body is in the direction of force then the word done by the body is given by the formula :

• W = F × S

⇒ Word done by the body = F × S

⇒ Word done by the body = 8 × 4

⇒ Word done by the body = 32

Therefore, the work done by the body = 32 J