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Question

A block rests on a long plank that is moving with a constant velocity 2.0 m/s on a horizontal floor. Coefficient of friction between the block and the plank is 0.10. If the plank starts decelerating uniformly and stops in 0.50s, what is the distance slid by the block on the plank? Acceleration of free fall is 10m/s2.
697579_4c588d33139048598da5b164a9d9196c.png

A
0.50m
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B
0.75m
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C
1.0m
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D
1.25m
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Solution

The correct option is D 1.25m
Vplank=0
uplank+at=0
2ar.0.5=0
ar=4m/s2
If we apply relative concept, anet=arug
41=3m/s2
s=12×a×(0.5)2
s=1.25

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