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Assuming the coefficient of friction between the road and tires of a car to be 0.5, the maximum speed with which the car can move around a curve of 40.0m radius without slipping if the road is unbanked, should be
  • a)
    25m/s
  • b)
    19m/s
  • c)
    14m/s
  • d)
    11m/s
Correct answer is option 'C'. Can you explain this answer?
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Assuming the coefficient of friction between the road and tires of a c...
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Assuming the coefficient of friction between the road and tires of a c...
Given: radius of the curve, r = 40.0m and coefficient of friction, μ = 0.5

To find: maximum speed of the car without slipping, v?

We know that the maximum speed of the car without slipping is given by:

v = √(μgr)

where g is the acceleration due to gravity.

Calculation:

Substituting the given values in the above equation, we get:

v = √(0.5 × 9.8 × 40.0) = 14.0 m/s

Therefore, the maximum speed at which the car can move around the curve without slipping is 14.0 m/s.

Hence, the correct option is (c) 14 m/s.
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