JEE Main · 2020 · 04 Sep 2020 · Shift 2 · Work, Power & Energy

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A person pushes a box on a rough horizontal platform 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?

(A)5250 J✓ Correct
(B)5690 J
(C)3280 J
(D)2780 J

Answer: (A)

Solution

The work done is the area under the force-distance graph. Over the first

15 m

the force is constant at

200 N

, contributing

200 \times 15 = 3000 J

. Over the next

15 m

the force falls linearly from

200 N

100 N

, contributing the trapezoidal area

\frac{1}{2} (200 + 100) \times 15 = 2250 J

. The total work done is

3000 + 2250 = 5250 J

JEE Main · 2020 · 04 Sep 2020 · Shift 2 · Single correct option

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