Question

You try drive a car with mass 470kg at 40km/h around a circular track of radius 30m.

A) What is the centripetal force on required to hold the car in this circular

B) The track is banked at an angle of 12 degrees. What size is the friction force preventing the car sliding up the slope?

C) If there is a coefficient of maximum static friction of 0.01, can you make the turn or will your car skid?

Answer 1

Hi,

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PART (A):

Given that,

Mass of the car,

Radius of track,

Velocity of the car is given by,

Therefore, Centripetal force is given by,

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PART (B):

We know that, Coefficient of static friction is given by,

Therefore, Frictional force is given by,

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PART (C):

Maximum speed of the turn is given by,

That is, Maximum speed possible is 8.08 m/s. More than this speed, the car will skid.

The answer is, Yes, the car will skid.

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