question_answer

A body of mass m is accelerated uniformly from rest to a speed v in a time T. The instantaneous power delivered to the body as a function of time, is given by     AIEEE  Solved  Paper-2005

A) \[\frac{m{{v}^{2}}}{{{T}^{2}}}t\]               

B)        \[\frac{m{{v}^{2}}}{{{T}^{2}}}{{t}^{2}}\]

C)        \[\frac{1}{2}\frac{m{{v}^{2}}}{{{T}^{2}}}{{t}^{2}}\]          

D)        \[\frac{1}{2}\frac{m{{v}^{2}}}{{{T}^{2}}}{{t}^{2}}\]

Correct Answer: A

Solution :

The force                 Instantaneous power (force F and velocity v both are in same direction)  Instantaneous process delivered in time t (from equation of motion,)