College Physics, Volume 1
2nd Edition
ISBN: 9781133710271
Author: Giordano
Publisher: Cengage
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Chapter 5, Problem 14P
To determine
The coefficient of static friction between the tires and the track.
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A 1000-kg car is picking up speed as it goes around a horizontal curve whose radius is 100 m. The coefficient of static friction between the tires and the road is 0.350. At what speed will the car begin to skid sideways?
As you are riding in a 1650-kg car, you approach a
N7M.8
hairpin curve in the road whose radius is 50 m. The road-
bed is banked inward at an angle of 10°
(a) Suppose the road is very icy, so that the coefficient of
static friction is essentially zero. What is the maximum
speed at which you can go around the curve?
(b) Now suppose the road is dry and that the static friction
coefficient between the tires and the asphalt road is 0.6.
What is the maximum speed at which you can safely
go around the curve?
A race track curve has a radius of 90 m and is banked at an angle of 15°. the coefficient of static friction between the tires and the roadway is 0.4. a race car with a mass of 1200 kg rounds the curve with a maximum speed to avoid skidding.
What’s the normal force on the car as it rounds the curve (exerted by road), the radial acceleration, and speed?
Chapter 5 Solutions
College Physics, Volume 1
Ch. 5.1 - Velocity and Acceleration in Circular Motion...Ch. 5.1 - Prob. 5.2CCCh. 5.2 - Prob. 5.3CCCh. 5.3 - Prob. 5.5CCCh. 5.4 - Prob. 5.6CCCh. 5.4 - Prob. 5.7CCCh. 5 - Prob. 1QCh. 5 - Prob. 2QCh. 5 - Prob. 3QCh. 5 - Consider the Cavendish experiment in Figure 5.22....
Ch. 5 - Prob. 5QCh. 5 - Prob. 6QCh. 5 - Prob. 7QCh. 5 - What force makes it possible for a car to move...Ch. 5 - Prob. 9QCh. 5 - Prob. 10QCh. 5 - Prob. 11QCh. 5 - Prob. 12QCh. 5 - Prob. 13QCh. 5 - Prob. 14QCh. 5 - Prob. 15QCh. 5 - Prob. 16QCh. 5 - Prob. 17QCh. 5 - Prob. 18QCh. 5 - Plutos mass. In 1978, it was discovered that Pluto...Ch. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Prob. 8PCh. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - A compact disc spins at 2.5 revolutions per...Ch. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Consider the motion of a rock tied to a string of...Ch. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - Prob. 19PCh. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - Prob. 27PCh. 5 - Prob. 29PCh. 5 - Consider a Ferris wheel in which the chairs hang...Ch. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 55PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - Prob. 61PCh. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 69PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - Prob. 72PCh. 5 - A rock of mass m is tied to a string of length L...Ch. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77P
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- Circular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. Find the x component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. Now write the magnitude of the normal force in terms of the force of gravity Fg and the angle θ. Now write the magnitude of the normal force again, this time in terms of the gravitational force Fg, g, θ, the radius of the track r, and the velocity that the car is traveling v. Now assume that the car is moving at 23 m/s and the radius of the track is 270 m. What is the angle θ in degrees?arrow_forwardCircular turns of radius r in a race track are often banked at an angle θ to allow the cars to achieve higher speeds around the turns. Assume friction is not present, and use the coordinate system specified. Find the x component of the normal force FN on a car going around the turn in terms of the angle θ and the magnitude of the normal vector FN. Now write the magnitude of the normal force in terms of the force of gravity Fg and the angle θ. Now write the magnitude of the normal force again, this time in terms of the gravitational force Fg, g, θ, the radius of the track r, and the velocity that the car is traveling v.arrow_forwardAlexis is in her Toyota Camry and trying to make a turn off an expressway at 19.0 m/s. The turning radius of the level curve is 35.0 m. Her car has a mass of 1240 kg. Determine the acceleration, net force and minimum value of the coefficient of friction which is required to keep the car on the road.arrow_forward
- A Wall of Death is a carnival show featuring a motorcyclist rides along the vertical wall of the cylinder and performs various stunts while doing so. Given that the radius of the cylinder is 7 m and the static coefficient of friction is 0.8, what is the minimum speed in m/s2 that the motorcyclist must do to prevent the motorcycle to slip from the wall?arrow_forwardThe radius of a cylindrical amusement vehicle rotating around an axis in a vertical plane in an entertainment center is 4 meters while it rotates at 2 rds / second. What should be the number of friction coefficients between the cylinder wall and people in order to prevent people from falling.arrow_forwardYou are exiting a highway and need to slow down on the off-ramp in order to make the curve. It is rainy and the coefficient of static friction between your tires and the road is only 0.6. If the radius of the off-ramp curve is 24 m, then to what speed do you need to slow down the car in order to make the curve without sliding? (answer in m/s)arrow_forward
- A 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_forwardA car travels at a steady 39 m/s around a horizontal curve of radius 143 m. What is the minimum coefficient of static friction between the road and the car's tires that will allow the car to travel at this speed without sliding?arrow_forwardA car of mass 622 kg is driving around a curve with a circular arc of radius 20 m. If the car drives at a speed of 12 m/s, what is the minimum value of the coefficient of friction between the car's tires and the road that will keep the car on the road?arrow_forward
- A 3500 kg flatbed truck is carrying an unsecured 400 kg box of wine glasses. The coefficient of static friction between the box and the truck bed is Usb=0.50, the coefficient of rolling friction between the truck's tires and the road is Urt=0.03. The truck comes to an unbanked curve in the road having a 40m radius. What is the maximum speed with which the truck can take the curve without damaging the wine glasses? Note that in order for the wine glasses to not be damaged, the box they're in should not slide on the truck bed and the truck itself should not slide on the road while taking the curve.arrow_forwardA flat (unbanked) curve on a highway has a radius of 220 m. A car rounds the curve at a speed of 25.0 m/s. What is the minimum coefficient of friction that will prevent sliding?arrow_forwardProblem#2: On an unbanked road, a vehicle travels at 42 mi/h constantly on a circular motion of 63.0-m radius. Calculate the smallest coefficient of static friction between the tires of the vehicle and road that will allow the vehicle to make the circular turn without skidding.arrow_forward
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