Work Energy And Power Question 326
Question: A block of mass m is pulled by a constant power P placed on a rough horizontal plane. The friction coefficient between the block and the surface is $ I{F_3} $ . Maximum velocity of the block will be
Options:
A) $ \frac{\mu p}{mg} $
B) $ \frac{\mu mg}{p} $
C) $ \mu mgp $
D) $ \frac{p}{\mu mg} $
Show Answer
Answer:
Correct Answer: D
Solution:
[d]
$ \therefore P=F.V=constant $
When $ F=\mu mg $ net force on block becomes zero, i.e., it has maximum or terminal velocity
$ \therefore $ $ p=(\mu mg){V _{\max }} $
$ \therefore $ $ {V _{\max }}=\frac{P}{\mu mg} $