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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` 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?

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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Knowledge Check

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

    A
    `1//3`
    B
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    C
    `1//4`
    D
    `3//8`

  • In the track shown in figure -3.94 section AB is a quadant of a circle of 1 metre radius in vertical plane. A block is released at A and slides without friction until it reaches at B. After B it moves on a rough horizontal floor and comes to rest at D, 3 metres from B the coefficient of friction between floor and the body will be :

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    B
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