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A particle of...

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A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle. If the initial speed (in m/s) of the particle is zero, the speed (in m/s) after 5 s is :

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Solution

Power $= \frac{W}{t} \Rightarrow W = 0.5 \times 5 = 2.5 = K E_{f} - K E_{i}$

$2.5 = \frac{M}{2} (v_{f}^{2} - v_{i}^{2})$
$\Rightarrow v_{f} = 5$

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