Question

İtem 3

Learning Goal:

To set up and evaluate the equations of motion in a normal-tangential coordinate system.

A car of weight 11.5 kN is traveling around a curve of constant curvature ρ.

Part A - Finding the net friction force

The car is traveling at a speed of 24.5 m/s, which is increasing at a rate of 2.15 m/s^2 , and the curvature of the road is ρ= 190 m . What is the magnitude of the net frictional force that the road exerts on the tires?

Express your answer to three significant figures and include the appropriate units.

Part B - Finding the maximum allowable acceleration

Suppose that the tires are capable of exerting a maximum friction force of 4920 N . If the car is traveling at 17.5 m/s and the curvature of the road is ρ = 140 m , what is the maximum tangential acceleration that the car can have without sliding?

Express your answer to three significant figures and include the appropriate units.

Part C - Finding the minimum curvature of the road

Suppose that the tires are capable of exerting a maximum net friction force of 3380 N . If the car is traveling at 22.5 m/s, what is the minimum curvature of the road that will allow the car to accelerate at 1.55 m/s^2 without sliding?

Express your answer to three significant figures and include the appropriate units.

Answer 1