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a 1000 kg car is driving around a 100 m radius curve. the coefficient of static friction is 0.80 and the coefficient of kinetic friction is 0.60. determine the maximum speed that thee car can travel without slipping.



Answer :

onyebuchinnaji

The maximum speed that the car can travel without slipping is 28 m/s.

What is the maximum speed of the car?

For a car driving around a circular path not skid at maximum speed, then the centripetal force of the car must be equal to the static frictional force.

Fc = Fs

ma = μmg

a = μg

v²/r = μg

v² = rμg

v = √rμg

where;

  • v is the maximum speed of the car
  • μ is the coefficient of static friction
  • g is acceleration due to gravity
  • r is the radius of the circular path

v = √(100 x 0.8 x 9.8)

v = 28 m/s.

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