Q.

A pulley on a horizontal plane drags a mass M with a force opposite to its displacement. The work done in pulling the mass M is?

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a

Infinite

b

Zero

c

Negative

d

Positive

answer is D.

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Detailed Solution

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Work is done when a force acts upon an object to cause a displacement.

It is given mathematically by:
W=Fd cos θ

According to the diagram, the displacement and pulling force vectors will be antiparallel to each other because the angle between them is 180 degrees.
θ=180o
Cos180o=-1
W=Fd (-1) = -Fd.

Therefore, the work done will be negative.

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A pulley on a horizontal plane drags a mass M with a force opposite to its displacement. The work done in pulling the mass M is?