A car with a mass of 900 kg is traveling around a curve with a radius of 60 m at a constant speed of 25 m/s (56 MPH). The curve is banked at an angle of 15 degrees.
a. What is the magnitude of the centripetal acceleration of the car?
b. What is the magnitude of the centripetal force required to produce this acceleration?
c. What is the magnitude of the vertical component of the normal force acting upon the car to counter the weight of the car?
d. Draw a diagram of the car (as in fig. 5.8) on the banked curve. Draw to scale the vertical component of the normal force. Using this diagram, find the magnitude of the total normal force, which is perpendicular to the surface of the road.
e. Using your diagram, estimate the magnitude of the horizontal component of the normal force. Is this component sufficient to provide the centripetal force? 

Transcribed Image Text:

N 0 N - Nh