Work Energy And Power Question 222

Question: At time $ t=0s $ particle starts moving along the x-axis. If its kinetic energy increases uniformly with time f, the net force acting on it must be proportional to

Options:

A) $ \sqrt{t} $

B) constant

C) $ t $

D) $ \frac{1}{\sqrt{t}} $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] Given, $ \frac{dk}{dt}= constant $

$ \Rightarrow k\propto t\Rightarrow v\propto \sqrt{t} $

$ Also, P=Fv=\frac{dk}{dt}= constant $

$ \Rightarrow F\propto \frac{1}{v}\Rightarrow F\propto \frac{1}{\sqrt{t}} $



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