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Q.

A person pushes a box on a rough horizontal plateform surface. He applies a force of 200 N over a distance of 15 m. Thereafter, he gets progressively tired and his applied force reduces linearly with distance to 100 N. The total distance through which the box has been moved is 30 m. What is the work done by the person during the total movement of the box?

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a

5690 J

b

2780 J

c

5250 J

d

3280 J

answer is A.

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$\begin{array}{l} ∴ Work done = Area under curve \\ = 200 \times 15 + (\frac{200 + 100}{2}) 15 \\ = 3000 + 2250 \\ = 5250 J \end{array}$

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A person pushes a box on a rough horizontal plateform surface. He applies a force of 200 N over a distance of 15 m. Thereafter, he gets progressively tired and his applied force reduces linearly with distance to 100 N. The total distance through which the box has been moved is 30 m. What is the work done by the person during the total movement of the box?