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A woman pushes a trunk on a railway plat...

A woman pushes a trunk on a railway platform which has a rough surface. She applies a force of 100N over a distance of 10m. Thereafter, she gets progressively tired and her applied force reduces linearly with distance to 50N. The total distance through which trunk has been moved is 20m. Plot the force applied by the woman and the frictional force, which is 50N against the distance. Calculat the work done by the two forces over 20m.

Text Solution

Verified by Experts

The plot of the two forces is shown below .

Work done by force F is
`W_(F) `= Area under ABC
` = 100 xx10 +1/2 (50+100) xx10`
` = 1000 +750 = 1750 J `
Work done by frictional force
`W_(F) ` = Area above DE
` = -50 xx 20 = - 1000 J `
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