Question

A body, acted upon by a force of 50 N is displaced

through a distance 10 meter in a direction making

an angle of 60° with the force. The work done by

the force be​

Answer 1

Work done=Force×distance

Work done=50N×10m

Work done=500Nm

Answer 2

Given:-

→ Force = 50 N

→ Distance covered = 10 m

→ Angle of displacement = 60°

To find:-

→ Work done by the force.

Solution:-

We know that :-

W = F × s × cosθ

Where :-

• W is work done by the force.

• F is the force.

• s is the distance covered.

• θ is the angle of displacement.

________________________________

→ Value of cosθ at 60° = 0.5

Substituting values in the above formula, we get :-

⇒ F = 50 × 10 × 0.5

⇒ F = 500 × 0.5

⇒ F = 250 J

Thus, work done by the force is 250J .

Some Extra Information:-

• Work done by a force on a body is the

product of force and displacement of

the body. It is a scalar quantity.

• The S.I. unit of work is joule(J) . The

C.G.S. unit of work is erg.

1 J = 10⁷ erg

• If a displacement of 1 m is produced by

a force of 1 N acting in the direction of

displacement, then the work done by

the force is 1 J.