First slide

Work

Question

The kinetic energy acquired by a body of mass m in travelling some distance s, starting from rest under the actions of a constant force, is directly proportional to

Moderate

A

$m^{0}$
B

m
C

$m^{2}$
D

$\sqrt{m}$

Solution

K.E. acquired by the body = work done on the body
$K . E . = \frac{1}{2} {mv}^{2} = Fs$ i.e. it does not depend upon the mass of the body although velocity depends upon the mass
$v^{2} \propto \frac{1}{m}$ [If F and s are constant]

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