A body, when acted upon by a force of 10 kgf, gets displaced by 0.5 m. Calculate the work done by the force, when the displacement is
A body, when acted upon by a force of 10 kgf, gets displaced by 0.5 m. Calculate the work done by the force, when the displacement is

(i) in the direction of force,

(ii) at an angle of 60o with the force, and

(iii) normal to the force. (g= 10Nkg-1)

Solutions:

According to the question –

Force acting on the body is 10 kgf = 10 × 10 N

= 100 N

Displacement is S = 0.5 m

We know that work done can be calculated as –

Work done = force × displacement  

(i) So, work done in direction of force is = W = F × S

W = 100 × 0.5

Therefore, W= 50 J

(ii) Work done when there is an angle of 60 degrees between force and displacement = W

 = F × S cos θ = 100 × 0.5 cos 600

W = 100 × 0.5 × 0.5                            as  [cos 600 = 0.5]

W = 25 J

(iii) When normal to the force, W = F × S cos θ

W = 100 × 0.5 cos 900

W = 100 × 0.5 × 0                               as  [cos 900 = 0]

W = 0