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Question

A car turns a corner on a slippery road at a constant speed of 12m/s. If the coefficient of friction is 0.4, the minimum radius of the arc in meters in which the car turns is?


A

9

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B

18

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C

36

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D

72

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Solution

The correct option is C

36


Step 1: Given

Velocity of the car, v=12m/s

Coefficient of friction, μ=0.4

Step 2: Determine the safe radius

For a safe turn without sliding,

μv2rgrv2μg

For the minimum value,

r=v2μg=1220.4×10=1444=36m

Therefore, option C is the correct option.


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