A body is moved along a straight line by a machine

• Work Energy

A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time t is proportional to

1. t^1/2
2. t^1/4
3. t^3/2
4. t^3/4

Answer

Power = W/t = (F × d)/t = F × v

Force × velocity = constant (K)

(ma) × (at) = K

a = (K/mt)^1/2

s = ½at²

s = ½(K/mt)^1/2t²

s is proportional to t^3/2

The correct option is C.