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Question

A block A of mass 45 kg is placed on another block B of mass 123 kg. Now block B is displaced by external agent by 50 cm horizontally towards right. During the same time block A just reaches to the left end of block B. Initial and final positions are shown in figures. The work done on block A in ground frame is

Assume μ=0.2

237673.bmp

A
18 J
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B
18 J
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C
36 J
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D
36 J
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Solution

The correct option is C 18 J
The force acting on the block A in horizontal direction is friction towards right, f=μmAg=0.2×45×10=90N
Net displacement of the block A with respect to the ground = 50 cm(40 cm10 cm)=20 cm=0.2 m
Thus work done in the ground frame = fd=+18 J

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