Work Energy And Power Question 177
Question: A body of mass m accelerates uniformly from rest to $ v_1 $ in time $ t_1 $ . As a function of time t, the instantaneous power delivered to the body is [AIEEE 2004]
Options:
A) $ \frac{mv_1t}{t_1} $
B) $ \frac{mv_1^{2}t}{t_1} $
C) $ \frac{mv_1t^{2}}{t_1} $
D) $ \frac{mv_1^{2}t}{t_1^{2}} $
Show Answer
Answer:
Correct Answer: D
Solution:
$ P=\vec{F}.\vec{v} $
$ =ma\times at $
$ =ma^{2}t $ [as u = 0] $ =m{{( \frac{v_1}{t_1} )}^{2}}t=\frac{mv_1^{2}t}{t_1^{2}} $
$ [ \text{As }a=v_1/t_1 ] $
