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} $

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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} $



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