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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6. A 1030 kg car rounds a curve of radius 85 m banked at an angle of 5 degrees. If the car is traveling at 58 km/h, determine the friction force in N needed to round the curve at the specified speed.
Report your answers in 4 significant digits (no need to type the unit).
The wall of death fairground ride: it's spinning in a horizontal circle. Then the floor that
people are standing on falls away. Calculate how fast it has to spin before the floor can
fall away without the people dropping out given that : coefficient of friction=m and radius
of the thing=r.
The 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 at all, and please please use the coordinate system specified.
A) Can you find the y 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.
B) Can you 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.
C) Please write the magnitude of the normal force in terms of the force of gravity Fg and the angle θ.
D) Please 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.
E) Now assume that the car is moving at 29 m/s and the radius of the track is 390 m. What is the angle θ in degrees?
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_forwardReview. While learning to drive, you arc in a 1 200-kg car moving at 20.0 m/s across a large, vacant, level parking lot. Suddenly you realize you are heading straight toward the brick sidewall of a large supermarket and are in danger of running into it. The pavement can exert a maximum horizontal force of 7 000 N on the car. (a) Explain why you should expect the force to have a well-defined maximum value. (b) Suppose you apply the brakes and do not turn the steering wheel. Find the minimum distance you must be from the wall to avoid a collision. (c) If you do not brake but instead maintain constant speed and turn the steering wheel, what is the minimum distance you must be from the wall to avoid a collision? (d) Of the two methods in parts (b) and (c), which is better for avoiding a collision? Or should you use both the brakes and the steering wheel, or neither? Explain. (c) Does the conclusion in part (d) depend on the numerical values given in this problem, or is it true in general? Explain.arrow_forward
- Artificial gravity is produced in a space station by rotating it, so it is a noninertial reference frame. The rotation means that there must be a centripetal force exerted on the occupants: this centripetal force is exerted by the walls of the station. The space station in Arthur C. Clarkes 2001: A Space Odyssey is in the shape of a four-spoked wheel with a diameter of 155 m. If the space station rotates at a rate of 2.40 revolutions per minute, what is the magnitude of the artificial gravitational acceleration provided to a space tourist walking on the inner wall of the station?arrow_forwardIt has been suggested dial rotating cylinders about 20 km in length and 8 km in diameter be placed in space and used as colonies. The purpose of the rotation is to simulate gravity for the inhabitants. Explain this concept for producing an effective imitation of gravity.arrow_forwardAs a skater forms a circle, what force is responsible for making her turn? Use a free body diagram in your answer.arrow_forward
- Nearly all conventional piston engines have flywheels on them to smooth out engine vibrations caused by the thrust of individual piston firings. Why does the flywheel have this effect?arrow_forwardA 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_forward
- A 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_forwardIn one amusement park ride, riders enter a large vertical barrel and stand against the wall on its horizontal floor. The barrel is spun up and the floor drops away. Riders feel as if they are pinned to the wall by a force something like the gravitational force. This is an inertial force sensed and used by the riders to explain events in the rotating frame of reference of the barrel. Explain in an inertial frame of reference (Earth is nearly one) what pins the riders to the wall, and identify all forces acting on them.arrow_forwardA car moves at speed v across a bridge made in the shape of a circular arc of radius r. (a) Find an expression for the normal force acting on the car when it is at the top of the arc. (b) At what minimum speed will the normal force become zero (causing the occupants of the car to seem weightless) if r = 30.0 m?arrow_forward
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