Work Energy And Power Question 256

Question: 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

Options:

A) $ \frac{mv^{2}}{T^{2}}.t^{2} $

B) $ \frac{mv^{2}}{T^{2}}.t $

C) $ \frac{1}{2}\frac{mv^{2}}{T^{2}}.t^{2} $

D) $ \frac{1}{2}\frac{mv^{2}}{T^{2}}.t $

Show Answer

Answer:

Correct Answer: B

Solution:

[b] $ u=0;v=u+aT;v=aT $

Instantaneous power $ = F\times v = m. a. $

$ at= m.a^{2}. t~ $

$ \therefore $ Instantaneous power $ = m\frac{v^{2}}{T^{2}}t $



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