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The graph between the resistive force acting on a body and the position of the body travelling in a straight line is shown in the figure. The mass of the body is \( 25 \mathrm{kg} \) and initial velocity is 2 m/s.When the distance covered by the bodyi \( s 4 \mathrm{m}, \) its kinetic energy would be

1. 50
2. 40 J
3. 20
4. 10

Correct answer: 40 J

Solution

The resistive force does negative work, and that work equals the area under the force–position graph over 0 to 4 m. Subtracting this loss from the initial kinetic energy gives the final kinetic energy, which comes out to 40 J.

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