A body of mass 1 kg is taken from infinity to a point P. When the body reaches that point, it has a speed of 2 ms^-1. The work done by the conservative force is - 5J. Which of the following is true (assuming non-conservative and pseudo-forces to be absent)

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Work done by the applied force is +7J.

The potential energy possessed by the body at P is + 5J.

Work done by all forces together is equal to the change in kinetic energy.

The total energy possessed by the body at P is +7J.

answer is A, B, C, D.

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Detailed Solution

$\begin{array}{l} ΔKE = \frac{1}{2} {mv}^{2} = \frac{1}{2} \times 1 \times 2^{2} = 2 J \\ W_{cons} = - ΔU = - 5 J \Rightarrow ΔU = 5 J \\ W_{ext} + W_{cons} = ΔKE \\ W_{ext} - ΔU = 2 \\ W_{ext} - 5 = 2 \\ W_{ext} = 5 + 2 = 7 J \\ TE = PE + KE = 5 + 2 = 7 J \end{array}$