5. A woman pushes a box on railway platform which has rough surface. She applies a force of 20 N over a distance of 5 m thereafter gets tired and applied force which reduces linearly to 10 N with distance. The total distance which box has been moved is 10 m. Work done during second displacement is [NCERT Pg. 119] (1) 175 J (2) 19.5 J (3) 75J (4) 14.65 J
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Answer:
Work done by the force applied by woman
W1= area of rectangular OABD
+ area of trapezium BCED
=OA×OD+(BD+CE2)DE
=100×10+(100+502)10=1000+750
=1750J
Work done by frictional force
W2=− area of rectangular OGHE
=−OG×OE=−50×20=−1000J
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