A body of mass 8 kg, under the action of a force, is displaced according to the equation S=t24m, where ‘t’ is the time. Find the work done by the force in the first 4 seconds.

W=F⋅SW=ma⋅swhere acceleration is a=d2Sdt2=12W=8×12×4=16J

A body of mass 8 kg, under the action of a force, is displaced according to the equation S=t24m, where ‘t’ is the time. Find the work done by the force in the first 4 seconds.

W=F⋅SW=ma⋅swhere acceleration is a=d2Sdt2=12W=8×12×4=16J

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A body of mass 8 kg, under the action of a force, is displaced according to the equation $S = \frac{t^{2}}{4} m$ , where ‘t’ is the time. Find the work done by the force in the first 4 seconds.

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3 J

16 J

6 J

9 J

answer is B.

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Detailed Solution

$W = F \cdot S$

$W = m a \cdot s$

where acceleration is

$a = \frac{d^{2} S}{d t^{2}} = \frac{1}{2}$

$W = 8 \times \frac{1}{2} \times 4 = 16 J$

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