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A particle of mass 1kg moves from rest along a straight line by the action of a force F which varies with the distance x as shown in the F-x graph.

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There will be no power delivered by the particle at $x = 3$ and $6 m$ .

Maximum kinetic energy of the particle is 25 J

Total magnitude of work done by the particle is 5 J.

Maximum kinetic energy of the particle is 45 J

answer is A, C, D.

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Detailed Solution

$W = K E_{\max} =$ Area under $F - x = (\frac{1}{2} \times 1 \times 10) + (10 \times 2) = 25 J$

Work along $y - a x i s W = (\frac{1}{2} \times 20 \times 2) + (\frac{1}{2} \times 1 \times 20) = 30 J$

$W_{T} = 30 - 25 = 5 J$

Power developed is zero, when no force is acting on the body.

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