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Question

# What the road is dry and the coefficient of friction is μ, the maximum speed of a car in a circular path is 10m/s, If the road becomes wet and coefficient of friction isμ′=μ/2. What is the maximum speed permitted?

A
5 m/s
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B
10 m/s
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C
102 m/s
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D
52 m/s
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Solution

## The correct option is D 5√2 m/sFriction force resist the car not slip while moving in circular path so eq is ⇒f=mv2rwhile road is dry the coefficient of friction is μf=μNN=Mg⇒f=μMg=Mv2r⇒v∝√μ=k√μ ---eq1k is proportionally constantwhen road is wet thancofficient of friction is μ2v1=k√μ2.. eq2by eq1 and eq2v1v=√μ2√μv1=v×1√2=5√2m/sHence the correct option is D

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