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 $2 m s^{- 1}$ .The work done by 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 applied force is $+ 7 J$

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

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

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

answer is A, B, C, D.

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Detailed Solution

$a) W_{n e t} = K E; W_{F} + W_{C} = \frac{1}{2} m V^{2}$

$W_{F} = \frac{1}{2} \times 1 \times 4 + 5 = 7$

b) Total energy $= W_{n e t} = 7$

$c) P E = - W_{C} = - (- 5) = + 5 J$

d) Work done by all forces = Change in KE.

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