The velocity - time graph of a particle moving in a straight line is shown in fi

Discussion Forum : Work Power And Energy

Question -

The velocity - time graph of a particle moving in a straight line is shown in figure. The mass of the particle is 2kg.Work done by all the forces acting on the particle in time interval between t = 0 to t = 10 s is

Options:

A . 300 J

B . −300 J

C . 400 J

D . −400 J

Answer: Option A
:
A

From work - energy theorem,

W = $△ K E = K_{f} - K_{i} = \frac{1}{2} m (v_{f}^{2} - v_{i}^{2})$

= $\frac{1}{2} \times 2 [(- 20)^{2} - (10)^{2}] = 300 J$

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