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In figure (i) the man walks 2 m carrying a mass of 15 kg on his hands. In Figure (ii), he walks the same distance pulling the rope behind him. The rope goes over a pulley, and a mass of 15 kg hangs at - Physics

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प्रश्न

In figure (i) the man walks 2 m carrying a mass of 15 kg on his hands. In Figure (ii), he walks the same distance pulling the rope behind him. The rope goes over a pulley, and a mass of 15 kg hangs at its other end. In which case is the work done greater?

संख्यात्मक
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उत्तर

In figure (i), force is applied on the mass, by the man in vertically upward direction but distance is moved along the horizontal.

∴ θ = 90°

W = F s cos 90° = zero

In figure (ii), force is applied along the vertical and the distance moved is also along the vertical.

∴ θ = 0°.

W = F s cos θ = mg × s cos 0°

W = 15 × 9.8 × 2 × 1 = 294 joule.

Thus, work done in case (ii) is greater.

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अध्याय 5: Work, Energy and Power - EXERCISES [पृष्ठ ८९]

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एनसीईआरटी Physics [English] Class 11
अध्याय 5 Work, Energy and Power
EXERCISES | Q 5.5 (d) | पृष्ठ ८९

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