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  4. If the force acting on a body is inversely proportional to its speed, then its kinetic energy is

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Q. If the force acting on a body is inversely proportional to its speed, then its kinetic energy is

J & K CETJ & K CET 2009Work, Energy and Power

Solution:

Given, force $ (F)\propto \frac{1}{v} $
or $ ma=\frac{k}{v} $
or $ m\times \frac{v}{t}=\frac{k}{v} $
or $ mv^{2}=kt $
or $ \frac{1}{2}mv^{2}=k't $
$ \Rightarrow $ $ KE\propto t $