Question Detail
Question
How fast can a car travel around an unbanked curve with a radius of 60 m if the coefficient of friction is 0.40?
Correct Answer
Option C is the correct answer.
Detailed Explanation
On an unbanked curve, the frictional force provides the centripetal force: μ mg = m v²/r. So v = √(μ g r) = √(0.40 * 9.8 * 60) = √(0.40 * 588) = √235.2 = 15.34 m/s ≈ 15.3 m/s. Closest is 15.5 m/s.
Hint
The maximum speed is given by v = √(μ g r).