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In the track shown in figure section AB ...

In the track shown in figure section AB is a quadrant of a circle of 1 metre radius. A block is released at A and slides without friction until it reaches B. After B it moves on a rough horizontal floor and comes to rest at distance 3 metres from B. What is the coefficient of friction between floor and body ?

A

`1//3`

B

`2//3`

C

`1//4`

D

`3//8`

Text Solution

Verified by Experts

The correct Answer is:
A
`mgxx1=(1)/(2)m u^(2)rArru^(2)=2g ....(1)`
`v^(2)=u^(2)+2asrArr0=2g=2a(3)`
`rArra=(g)/(3)rArr :' mu_(k)g=a`
`:. mu_(k)g=(g)/(3):. u_(k)=(1)/(3)`
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In the track shown in figure section AB is a quadrant of a circle of 1 meter radius. A block is released at A and slides without friction until it reaches B . After B it moves on a rough horizontal floor and comes to rest at distance 3 meters from B. What is the coefficient of friction between floor and body?

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Knowledge Check

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