A car enters a horizontal, curved roadbed of radius 50 m. The coefficient of static friction between the tires and the roadbed is 0.20. What is the maximum speed with which the car can safely negotiate the unbanked curve?
A)5 m/s
B)10 m/s
C)20 m/s
D)40 m/s
E)100 m/s

Question

Quizplus · Accepted Answer

The maximum speed is determined by the formula v = sqrt(μ * g * r), where μ is the coefficient of static friction, g is the acceleration due to gravity (approximately 9.8 m/s²), and r is the radius of the curve. Substituting the given values: v = sqrt(0.20 * 9.8 * 50) = 9.9 m/s, which rounds to 10 m/s.

A Car Enters a Horizontal, Curved Roadbed of Radius 50