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Question

Find out the distance travelled by the block on incline before it stops. Initial velocity of the block is 10 m/s and co-efficient of friction between the block and incline is μ=0.5.
(Take g=10 m/s2)

A
5 m
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B
4 m
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C
10 m
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D
6 m
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Solution

The correct option is A 5 m
FBD,

We get normal force on block by equating the normal component of weight perpendicular to inclined plane
N=mgcos37
Applying Newton's law along the inclined plane we get,
mgsin37μN=ma
a=10 m/s2
Now by the equation of motion, v2=u2+2as
0=102+2(10)S
S=5 m

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