A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to…

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 ms -1 of the particle is zero, the speed in ms -1 after 5 s is

Solution

$ \text{Power} = \text{constant} = 0.5 w $ $ \text{work done } w = pt $ $ = 0.5 \times 5 = 2.5 \, \text{J} $ $ w = \Delta \text{k.E} = \frac{1}{2} m v^{2} $ $ 2.5 = \frac{1}{2} \times 0.2 v^{2} $ $ \frac{5}{0.2} = v^{2} $ $ v^{2} = 25 $ $ v = 5 $

Asked in: JEE Advanced 2013 (Paper 1)

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