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What is the minimum stopping distance fo...

What is the minimum stopping distance for a vehicle of mass `m` moving with speed `v` along a level road. If the coefficient of friction between the tyres and the road is `mu`.

A

`(v^(2))/(2mug)`

B

`(2v^(2))/(mu g)`

C

`(v^(2))/(mu g)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`0^(2)=V^(2)-2mu g s`
`rArrs=(V^(2))/(2mug).(A)`
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Knowledge Check

  • What is the maximum speed at which a car can turn round a curve of 30 m radius on a level road if the coefficient of friction between the types and the road is 0.4 .(Given, acceleration due to gravity = 10 ms ^(-2)

    A
    `12ms^(-1)`
    B
    `10ms^(-1)`
    C
    `11ms^(-1)`
    D
    `15ms^(-1)`

  • A vehicle of mass M is moving on a rough horizontal road with a momentum P. If the coefficient of friction between the tyres and the road is mu , then the stopping distance is

    A
    `(P)/(2muMg)`
    B
    `(P^(2))/(2muMg)`
    C
    `(P^(2))/(2muM^(2)g)`
    D
    `(P)/(2muM^(2)g)`

  • A vehicle of mass m is moving on a rough horizontal road with momentum p. If the coefficient of friction between the tyres and the road be mu , then the stopping distance is

    A
    `p/(2 mu m g)`
    B
    `(p^2)/(2 mu mg)`
    C
    `(p)/(2 mu m^2g)`
    D
    `(p^2)/(2 mu m^2g)`

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    Find the maximum speed at which a car can take turn round a curve of 30 cm radius on a level road if the coefficient of friction between the tyres and the road is 0.4. Take g = 10 ms^(-2) .

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    A vehicle of mass m is moving on a rough horizontal road with momentum P . If the coefficient of friction between the tyres and the road br mu, then the stopping distance is:

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