First slide

Work

Question

A force of 5 N acts on a 15 kg body initially at rest. The work done (in J) by the force during the first second of motion of the body is

Moderate

Solution

$W = Fs = F \times \frac{1}{2} {at}^{2} [from s = ut + \frac{1}{2} {at}^{2}]$
$\Rightarrow W = F [\frac{1}{2} (\frac{F}{m}) t^{2}] = \frac{F^{2} t^{2}}{2 m} = \frac{25 \times {(1)}^{2}}{2 \times 15} = \frac{25}{30} = \frac{5}{6} J$ = 0.83 J

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