2. A car of mass m drives on a banked, circular track with no friction. The track is banked at angle B, and the car travels on the track with a radius R from the center of the track. (a) Draw a free-body diagram of the car. Recall that the car's acceleration will be radially inward. Therefore, you should use coordinate system provided for determining force components. y r (b) What is the car's speed vo in terms of g, ß and R? Why is your result independent of m? Explain why your result makes sense for B 0° and B = 90°. (c) If R = 20.0 m and ß = 20.0°, what speed vo will allow the car to safely travel around the track? В (d) What happens when the car has a speed v> vo? What happens when v < vo?
2. A car of mass m drives on a banked, circular track with no friction. The track is banked at angle B, and the car travels on the track with a radius R from the center of the track. (a) Draw a free-body diagram of the car. Recall that the car's acceleration will be radially inward. Therefore, you should use coordinate system provided for determining force components. y r (b) What is the car's speed vo in terms of g, ß and R? Why is your result independent of m? Explain why your result makes sense for B 0° and B = 90°. (c) If R = 20.0 m and ß = 20.0°, what speed vo will allow the car to safely travel around the track? В (d) What happens when the car has a speed v> vo? What happens when v < vo?
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Paul W. Zitzewitz
Chapter6: Motion In Two Dimensions
Section: Chapter Questions
Problem 62A
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