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 $
