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Q.

A body of mass 0.5 kg, travels on straight line path with velocity $v = (3 x^{2} + 4) m / s .$ Then the net work done by the force during its displacement from x = 0 to x = 2m in …………… J.

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answer is 60.

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Detailed Solution

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$v = 3 x^{2} + 4$

$a t x = 0, x = 2$

$v_{1} = 4, v_{2} = 12 + 4 = 16$

Work done = $Δ$ kinetic energy

$= \frac{1}{2} m (v_{2}^{2} - v_{1}^{2}) = 60 J$

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A body of mass 0.5 kg, travels on straight line path with velocity v=3x2+4 m/s. Then the net work done by the force during its displacement from x = 0 to x = 2m in …………… J.