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. t1/2
  2. t1/4
  3. t3/2
  4. t3/4

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 t3/2

The correct option is C.