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Q.

A heavy block of mass M is slowly placed on a conveyer belt moving with a speed v. The coefficient of friction between the block and the belt is µ. Through what distance will the block slide on the belt?

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a

v/µg

b

v2/µg

c

v/2µg

d

v2/2µg

answer is D.

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Detailed Solution

Force of friction = µ M g

Acceleration = µ g

Now v2=u2+2as

The block will slide on the belt till its velocity becomes v.
Hence

v2=2μgs  or  s=v2/2μg.

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