Duration: 7:43

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A woman pushes a trunk on a railway platform which has a rough surface. She applies a force of \( 100 \mathrm{~N} \) over a distance of \( 10 \mathrm{~m} \). Thereafter, she gets progressively tired and her applied force reduces linearly with distance to 50 \( \mathrm{N} \). The total distance through which the trunk has been moved is \( 20 \mathrm{~m} \). If frictional force is \( 50 \mathrm{~N} \), then total work done by the two forces over \( 20 \mathrm{~m} \) is
(a) \( -2000 \mathrm{~J} \)
(b) \( 500 \mathrm{~J} \)
(c) \( 750 \mathrm{~J} \)
(d) \( -200 \mathrm{~J} \)
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