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  4. A constant force starts acting on a body of mass m at rest. The velocity v acquired in traveling a specific distance depends on m as

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Q. A constant force starts acting on a body of mass $m$ at rest. The velocity $v$ acquired in traveling a specific distance depends on $m$ as

Laws of Motion

Solution:

$u=0$,
$a=F/m$,
Apply $v^{2}=u^{2}+2as$
$\Rightarrow v^{2} = 0^{2}+\frac{2F}{m} s$
$\Rightarrow v^{2} =\frac{2Fs}{m}$
$\Rightarrow v^{2} \propto \frac{1}{m}$
$\Rightarrow V \propto\frac{1}{\sqrt{m}}$