A car travels around a 35 m radius unbanked curve.The static friction coefficient between the tires and the road is 0.45.What is the maximum speed at which the car can travel without slipping around this corner?
A) 2.8 m/s
B) 27.6 m/s
C) 12.4 m/s
D) 7.5 m/s

Question

Quizplus · Accepted Answer

The maximum speed at which the car can travel without slipping around the curve can be found using the equation:

v_max = √(μ * g * r)

where μ is the coefficient of static friction, g is the acceleration due to gravity (9.8 m/s^2), and r is the radius of the curve.

Plugging in the values given in the problem, we get:

v_max = √(0.45 * 9.8 m/s^2 * 35 m) ≈ 12.4 m/s

Therefore, the best choice is C, 12.4 m/s.

A Car Travels Around a 35 M Radius Unbanked Curve