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KCET2020PhysicsMotion in One Dimension

A body is initially at rest. It undergoes one-dimensional motion with constant acceleration. The power delivered to it at time t is proportional to

Options

  1. At^ 1 / 2
  2. Bt
  3. Ct^ 3 / 2
  4. Dt²

Correct answer

B. t

Step-by-step solution

Let in time t , the body will acquire a velocity of v from rest. As, power (P)= rate of doing work = d W d t = F d x d t = F v For motion in one dimension, P=F v 0^ =F v...(i) From first equation of motion, aligned &v=u+a t &v=a t ...(ii) ( u=0) aligned From Eqs. (i) and (ii), we get aligned P &=F a t=m a a t ( F=m a) &=m a² t aligned As m a² is constant. So, P t

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