Velocity – time graph of a particle moving in a straight line is as shown in figure. Mass of the particle is 2 kg. Work done by all the forces acting on the particle in time interval between t = 0 to t = 10 is

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Velocity – time graph of a particle moving in a straight line is as shown in figure. Mass of the particle is 2 kg. Work done by all the forces acting on the particle in time interval between t = 0 to t = 10 is

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300 J

–300 J

400 J

–400 J

answer is A.

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Detailed Solution

Given,

$A t t = 0 s v_{1} = 10 m / s a t t = 10 s v_{2} = - 20 m / s$

We know that by the work-energy theorem,

Work done by all forces= changes in kinetic energy.

$work done, W = \frac{1}{2} m ({v_{2}}^{2} - {v_{1}}^{2}) = \frac{1}{2} \times 2 (400 - 100) = 300 J$

Hence the correct answer is 300J.

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