COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 5, Problem 18QAP
To determine
Why curves in roads and cycling velodromes are banked?
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A 700 kg car rounds a curve that is banked with an angle of 10 degrees from the horizontal and has a radius 50 meters. There is friction between the road and the tires and the maximum static frictional force is 3820 N. The normal force on the car while it goes around the curve is 7640 N. What maximum speed can the car take the turn without slipping
a)24 m/s
b)36 m/s
c)18 m/s
d)42 m/s
A load of 52 kg is placed on the flatbed of a truck going around a section of flat road corresponding to a circular arc with a radius of 80 m. If the coefficient of static friction between the load and the truck's flatbed is 0.355, what is the maximum speed the truck can have so the load won't slide?
a) 28.0 m/s
b) 5.33 m/s
c) 16.7 m/s
d) 22.6 m/s
e) 279 m/s
Chapter 5 Solutions
COLLEGE PHYSICS
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- A car traveling on a flat (unbanked), circular track accelerates uniformly from rest with a tangential acceleration of a. The car makes it one-quarter of the way around the circle before it skirts oil the track. Front these data, determine the coefficient of static friction between the car and the track.arrow_forwardA car traveling on a flat (unbanked), circular track accelerates uniformly from rest with a tangential acceleration of 1.70 m/s2. The car makes it one-quarter of the way around the circle before it skids off the track. From these data, determine the coefficient of static friction between the car and the track.arrow_forwardA 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 , and the coefficient of static friction is s. (a) Determine the range of speeds the car can have without slipping up or down the road. (b) Find the minimum value for s such that the minimum speed is zero.arrow_forward
- A car of mass 1 230 kg travels along a circular road of radius 60.0 m at 18.0 m/s. (a) Calculate the magnitude of the cars centripetal acceleration. (b) What is the magnitude of the force of static friction acting on the car? (See Section 7.4.)arrow_forwardYou have been called as an expert witness for a trial in which a driver has been charged with speeding but is claiming innocence. He claims to have slammed on his brakes to avoid rear-ending another car, but tapped the back of the other car just as he came to rest. You have been hired by the prosecution to prove that the driver was indeed speeding. You have received data as follows from the police: Skid marks left by the driver are 56.0 m long and the roadway is level. Tires matching those on the car of the driver have been dragged over the same roadway to determine that the coefficient of kinetic friction between the tires and the roadway is 0.82 at all points along the skid mark. The speed limit on the road is 35 mi/h. Construct an argument to be used in court to show that the driver was indeed speeding.arrow_forwardAn object executes circular motion with constant speed whenever a net force of constant magnitude acts perpendicular to the velocity. What happens to the speed if the force is not perpendicular to the velocity?arrow_forward
- As a skater forms a circle, what force is responsible for making her turn? Use a free body diagram in your answer.arrow_forwardAn office door is given a sharp push and swings open against a pneumatic device that slows the door down and then reverses its motion. At the moment the door is open the widest, (a) does the doorknob have a centripetal acceleration? (b) Does it have a tangential acceleration?arrow_forwardYou are working during your summer break as an amusement park ride operator. The ride you are controlling consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (Fig. P6.7). The coefficient of static friction between a person of mass m and the wall is s, and the radius of the cylinder is R. You are rotating the ride with an angular speed suggested by your supervisor. (a) Suppose a very heavy person enters the ride. Do you need to increase the angular speed so that this person will not slide down the wall? (b) Suppose someone enters the ride wearing a very slippery satin workout outfit. In this case, do you need to increase the angular speed so that this person will not slide down the wall? Figure P6.7arrow_forward
- The maximum lift force on a bat is proportional to the square of its flying speed v. For the hoary bat (Lasiurus cinereus), the magnitude of the lift force is given by Fl (0.018 N s2/m2) v2 The bat can fly in a horizontal circle by banking its wings at an angle , as shown in Figure P7.72. In this situation, the magnitude of the vertical component of the lift force must equal the bats weight. The horizontal component of the Figure P7.72. force provides the centripetal acceleration. (a) What is the minimum speed that the bat can have if its mass is 0.031 kg? (b) If the maximum speed of the bat is 10 m/s, what is the maximum banking angle that allows the bat to stay in a horizontal plane? (c) What is the radius of the circle of its flight when the bat flies at its maximum speed? (d) Can the bat turn with a smaller radius by flying more slowly?arrow_forwardThe maximum lift force on a bat is proportional to the square of its flying speed v. For the hoary bat (Lasiurus cinereus), the magnitude of the lift force is given by Fl (0.018 N s2/m2) v2 The bat can fly in a horizontal circle by banking its wings at an angle , as shown in Figure P7.72. In this situation, the magnitude of the vertical component of the lift force must equal the bats weight. The horizontal component of the Figure P7.72. force provides the centripetal acceleration. (a) What is the minimum speed that the bat can have if its mass is 0.031 kg? (b) If the maximum speed of the bat is 10 m/s, what is the maximum banking angle that allows the bat to stay in a horizontal plane? (c) What is the radius of the circle of its flight when the bat flies at its maximum speed? (d) Can the bat turn with a smaller radius by flying more slowly?arrow_forwardView Policies Current Attempt in Progress On a banked race track, the smallest circular path on which cars can move has a radius of 121 m, while the largest has a radius of 168 m, as the drawing illustrates. The height of the outer wall is 15.1 m. Find (a) the smallest and (b) the largest speed at which cars can move on this track without relying on friction. (a) Number i Units (b) Number Units eTextbook and Media Save for Later Attempts: 0 of 2 used Submit Answer huluarrow_forward
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