Physics for Scientists and Engineers, Technology Update (No access codes included)
9th Edition
ISBN: 9781305116399
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 6, Problem 6.61AP
A car rounds a banked curve as discussed in Example 6.4 and shown in Figure 6.5. The radius of curvature of the road is R, the banking angle is θ, and the coefficient of static friction is μs. (a) Determine the range of speeds the car can have without slipping up or down the road. (b) Find the minimum value for μs such that the minimum speed is zero.
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Chapter 6 Solutions
Physics for Scientists and Engineers, Technology Update (No access codes included)
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- A car travels at a constant speed of 25.5 mi/h (11.4 m/s) on a level circular turn of radius 43.0 m, as shown in the bird's-eye view in figure a. What minimum coefficient of static friction, ?s, between the tires and the roadway will allow the car to make the circular turn without sliding?arrow_forwardA 3,000-kg truck leaves a freeway on a circular exit of radius 50 m at a speed of 15 m/s. What minimum coefficient of static friction between the tires and the road is required to keep the truck on the exit ramp without sliding?arrow_forwardA velodrome has an aggressively banked curve, where the surface makes an angle of 58.9 degrees with the horizontal. If you are biking around this curve (such that your path traces a horizontal circle with radius 21.7 m as you go around the turn), and the coefficient of static friction of your bike tires with the velodrome surface is 0.617, what is the minimum speed that you can go before starting to slip down the ramp? Give your answer in km/hr.arrow_forward
- Lola can do a loop-the-loop on a skateboard of radius 4.9 m. What is the minimum speed needed for Lola to remain on the track while upside down?arrow_forwardA race car travels 76 m/s around a circulartrack of radius 159 m What is the magnitude of the resultantforce on the 1600 kg driver and his car ifthe car does not slip?Answer in units of kN.arrow_forwardA car is driving along a circular track with diameter d = 0.59km at a constant speed of v = 21.2 m/s. Write an expression and find the value for the minimum coefficient of friction between the cars tires and road required in order to keep the car going in a circle in terms of the given parameters.arrow_forward
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- A bus negotiates a turn of radius 120 m while traveling at a speed of 96 km/h. If slipping just begins at this speed, what is the coefficient of static friction between the tires and the road? Find the optimum banking angle for the bus. With the answers, 0.605, and 31.2°arrow_forwardIn a recent study of how mice negotiate turns, the mice ran BIO around a circular 90° turn on a track with a radius of 0.15 m. The maximum speed measured for a mouse (mass = 18.5 g) running around this turn was 1.29 m/s. What is the minimum coefficient of friction between the track and the mouse's feet that would allow a turn at this speed?arrow_forwardA car is driving through the bottom of a circular valley at a speed vv as shown in the picture. When the car is at the bottom, how does the normal force on the car compare with the car's weight? (a) The normal force is greater than the car's weight.(b) The normal force is equal to the car's weight. (c) The normal force is less than the car's weight.arrow_forward
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