Q.

A suitcase is gently dropped on a conveyor belt moving at 3 m/s. If the coefficient of friction between the belt and the suitcase is 0.5. Find the displacement of suitcase relative to conveyor belt before the slipping between the two is stopped (g = 10 ms-2)

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a

2.7m

b

1.8m

c

0.9m

d

1.2m

answer is C.

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Detailed Solution

As seen from the belt deceleration of the block a = fkm = µg. slipping between the block and belt will stop, when the velocity of the block will be zero. Initial velocity of the block, as seen from the belt = v0=v2-2ass=v22a=v22μg=3210=0.9m
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