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A 2 kg mass starts from rest on an incli...

A 2 kg mass starts from rest on an inclined smooth surface with inclination `30^(@)` and length 2m. How much will it travel before coming to rest on a horizontal frictional surface with frictional coefficient of 0.25

A

4 m

B

6 m

C

8 m

D

2 m

Text Solution

Verified by Experts

The correct Answer is:
A
`v^(2) = u^(2) + 2as`
`implies v = sqrt(2as) = sqrt(2 xx g sin 30^(@) xx 2) = sqrt(20)` m/s
Stopping distance = `S = (u^(2))/(2 mu g) = (20)/(2 xx 0.25 xx 10) = 4`m
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