A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by the body in time 't' is proportional to :
Solution
P = constant<br><br>${1 \over 2}$mv<sup>2</sup> = Pt<br><br>$\Rightarrow$ v $\propto$ $\sqrt t$<br><br>${{dx} \over {dt}} = C\sqrt t$ [C = constant]<br><br>by integration.<br><br>$x = C{{{t^{{1 \over 2} + 1}}} \over {{1 \over 2} + 1}}$<br><br>$x \propto {t^{3/2}}$
About this question
Subject: Physics · Chapter: Work, Energy and Power · Topic: Work Done by a Force
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