First slide

Work Energy Theorem

Question

The kinetic energy acquired by a mass m in traveling a certain distance d, staring from rest, under the action of a constant force is directly proportional to

Easy

A

$\sqrt{m}$
B

independent of m
C

1/ $\sqrt{m}$
D

m

Solution

$K.E. = \frac{1}{2} {mv}^{2} Further, v^{2} = u^{2} + 2 as or v^{2} = 0 + 2 ad v^{2} = 2 (F / m) d Substituting the value of v^{2} from eq. (2) in eq. (1), we get K.E. = \frac{1}{2} m \times 2 (F / m) d = Fd K.E. \propto d (independent of mass)$

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