Question

Question 1 The maximum speed of a 1200 kg car around a level curve (with radius of curvature 40 m) to avoid slipping is 30 km/h. a) Calculate the frictional force the road applies to the tyres as the car takes the curve at this speed. b) What angle would the curve have to be banked at for the car to safely travel around it at 30 km/h, if the road was covered with ice?

          Question 1
The maximum speed of a 1200 kg car around a level curve (with radius of curvature 40 m) to avoid slipping is 30 km/h.
a) Calculate the frictional force the road applies to the tyres as the car takes the curve at this speed.
b) What angle would the curve have to be banked at for the car to safely travel around it at 30 km/h, if the road was covered with ice?

Question 1
The maximum speed of a 1200 kg car around a level curve (with radius of curvature 40 m) to avoid slipping is 30 km/h.
a) Calculate the frictional force the road applies to the tyres as the car takes the curve at this speed.
b) What angle would the curve have to be banked at for the car to safely travel around it at 30 km/h, if the road was covered with ice?

Added by Destiny W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Varsha Aggarwal

Step 1

Fc = (1200 kg * (25/3 m/s)^2) / 40 m Now, we can calculate the frictional force: Fc = (1200 kg * (625/9 m^2/s^2)) / 40 m Fc = (750000/9) kg*m/s^2 Fc = 2500 * 5/3 N So, the frictional force the road applies to the tires is: $\boxed{F_c = \frac{2500}{3} N}$ b) Show more…

Show all steps

Thanks for your feedback!

The maximum speed of a 1200 kg car around a level curve (with radius of curvature 40 m) to avoid slipping is 30 km/h. a) Calculate the frictional force the road applies to the tyres as the car takes the curve at this speed. b) What angle would the curve have to be banked at for the car to safely travel around it at 30 km/h, if the road was covered with ice?