Question

A proud new Jaguar owner drives her car into a circular section of the width radius 30m. The coefficients of friction between the road and the tires are 0.70 (static) and 0.40 (kinetic). What is the maximum speed she could drive around the corner without skidding?

Answer 1

The formula to calculate the maximum speed is v = √(μ * g * r). Plugging in the values from the question, the maximum speed is approximately 15.59 m/s.

Step-by-step explanation:

To calculate the maximum speed a car can drive around a corner without skidding, we need to consider the forces acting on the car. The maximum speed occurs when the static friction force between the tires and the road is at its maximum value. The formula to calculate the maximum speed is:

v = √(μ * g * r)

Where:

• μ is the coefficient of friction
• g is the acceleration due to gravity (9.8 m/s²)
• r is the radius of the circular section

Plugging in the values from the question, we have:

v = √(0.70 * 9.8 * 30)

v ≈ 15.59 m/s

Therefore, the maximum speed she could drive around the corner without skidding is approximately 15.59 m/s.