A particle of mass $1 k g$ is moving along $X -$ axis. Its velocity is $6 m / s$ at $x = 0$ . Acceleration-displacement curve and potential energy-displacement curve of the particle are shown:

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the work done by all the forces is $704 J$

the work done by external forces is $350 J$

the work done by external forces is $384 J$

the work done by conservation forces is $300 J$

answer is A, C.

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Detailed Solution

Area of $(a - t)$ curve $= 32 m s^{- 1} = V_{f} - V_{i}$

$V_{f} = 32 + V_{i} = 32 + 6 = 38 m s^{- 1}$

work done by all forces $= ∆ K E$

$= \frac{1}{2} m (V_{f}^{2} - V_{i}^{2}) = \frac{1}{2} (38^{2} - 6^{2}) = 704 J$

work done by conservation forces

$U_{i} - U_{f} = 320 J$

work done by external forces $= 704 - 320 = 384 J$

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