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A car of mass 1000 kg negotiates a banke...

A car of mass 1000 kg negotiates a banked curve of radius 90 m on a frictionless road. If the banking angle is `45^@`, the speed of the car is

A

`20 ms^(-1)`

B

`30 ms^(-1)`

C

`5 ms^(-1)`

D

`10 ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
B
Here ,`m = 1000 kg , r = 90 m , theta = 45 ^@`
for banking ` tan theta = (v^2)/(Rg)`
`or v= sqrt(Rg tan theta )= sqrt(90 xx10 xx tan 45^@ )= 30 ms^(-1)`
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Knowledge Check

  • A car of mass 1000kg negotiates a banked curve of radius 90m on a fictionless road. If the banking angle is 45^(@) the speed of the car is:

    A
    `10ms^(-1)`
    B
    `20ms^(-1)`
    C
    `30ms^(-1)`
    D
    `5ms^(-1)`

  • A car of mass 1500 kg rounds a curve of radius 250 m , at 90 km / hour . What is the centripetal force acting on it ?

    A
    `2550N`
    B
    `3100N`
    C
    `3750 N`
    D
    `4200N`

  • A car of mass 1000 kg moves on a circular track of radius 20 m. If the coefficient of friction is 0.64, then the maximum velocity with which the car moves is

    A
    22.4 m/s
    B
    5.6 m/s
    C
    11.2 m/s
    D
    6.5 m/s

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