A small model car with mass m travels at constant speed v on the inside of a track that is a vertical circle with radius 5.00 m. If the normal force exerted by the track on the car when it is at the bottom of the track (point A) is equal to 18.1 kN and at the top of the track (point B) is equal to 2.92 kN, what is the speed v of the car?

A small model car with mass m travels at constant speed v on the inside of a track that is a vertical circle with radius 5.00 m. If the normal force exerted by the track on the car when it is at the bottom of the track (point A) is equal to 18.1 kN and at the top of the track (point B) is equal to 2.92 kN, what is the speed v of the car?

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 73P: A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m. At point...

See similar textbooks

Similar questions

In most of the problems you have dealt with so far, weight is equal in magnitude to that of the normal force. Is it possible for the normal force not to be equal to weight? Explain your answer. Yes, it is possible. Oftentimes, normal force counteracts the weight, thus making them equal. This happens when the object is situated on a horizontal surface and the force is exerted on the direction of the gravitational field. Otherwise, as in the case of an elevator accelerating downwards, N and W will not equalize. Yes, it is possible. Oftentimes, normal force counteracts the weight, thus making them equal. This happens when the object is situated on a vertical surface and the force is exerted on the direction of the gravitational field. Otherwise, as in the case of an elevator accelerating downwards, N and W will not equalize. No, it is not possible. Oftentimes, normal force counteracts the weight, thus making them equal. This happens when the object is situated on a horizontal…
In the very Dutch sport of Fierljeppen, athletes run up to a long pole and then use it to vault across a canal as shown in (Figure 1). At the very top of his arc, a 70 kg vaulter is moving at 2.9 m/s and is 5.5 m from the bottom end of the pole. What is the magnitude of the vertical force that the pole exerts on the vaulter? Express your answer with the appropriate units.
A 3000-pound automobile is negotiating a circular interchange of radius r = 400 feet at s = 30 miles per hour (see figure). (a) Assuming the roadway is level, find the force between the tires and the road such that the car stays on the circular path and does not skid. (Use F = ma, where m = 3000/32. Round your answer to the nearest integer.) (b) Find the angle at which the roadway should be banked so that no lateral frictional force is exerted on the tires of the automobile. (Round your answer to one decimal place.)
An engineer wants to design a circular racetrack of radius r such that cars of mass m can go around the track at speed V without the aid of friction or other forces other than the perpendicular contact force from the track surface. Find an expression for the required banking angle θ of the track, measured from the horizontal. Express the answer in terms of m, r, V, and g. Suppose the race cars actually round the track at a speed w>V. What additional radial force Fr is required to keep the cars on the track at this speed? Express the answer in terms of m, r, V, w, and g.
A small block with mass m is set on the top of an upside-down hemispherical bowl. If the coefficient of static friction between the block and the bowl is μs and the block is slowly repositioned at different points down the surface of the bowl, at what angle measured from the vertical will the block begin to slide? Write your answer in terms of the mass, m; the gravitational acceleration on Earth, g; and the coefficient of static friction, μs. (Assume the +y axis is vertically upward.)
An object of mass m has these three forces acting on it (there is no normal force, "no surface"). F1 = 1 N, F2 = 10 N, and F3 = 4 N. When answering the questions below, assume the x-direction is to the right, and the y-direction is straight upwards. What is the magnitude of the net force, in newtons? What is the angle θ, in degrees, of the net force, measured from the +x-axis? Enter an angle between -180° and 180°. What is the magnitude, |a| of the acceleration, in meters per square second, if the block has a mass of 8.9 kg?
Block A, with a mass of 13 kg, sits on an incline of 0.34 radians above the horizontal. An attached (massless) string passes through a massless, frictionless pulley at the top of the incline as shown: The coefficient of kinetic friction between block A and the incline is given as 0.47. When the system is released from rest, block B accelerates downward at 2.4 m/s2. What is the mass of block B? Express your answer in kg, to at least one digit after the decimal point.
A child of mass 40.0 kg is in a roller coaster car that travels in a loop of radius 7.00 m. At point A the speed of the car is 10.0 m/s, and at point B, the speed is 10.5 m/s. Assume the child is not holding on and does not wear a seat belt. (a) What is the force of the car seat on the child at point A? (b) What is the force of the car seat on the child at point B? (c) What minimum speed is required to keep the child in his seat at point A?
Give reasons for the answers to each of the following questions: (a) Clan a normal force be horizontal? (b) Can a normal force be directed vertically downward? (c) Consider a tennis ball in contact with a stationary floor and with nothing else. Can the normal force be different in magnitude from the gravitational force exerted on the ball? (d) Can the force exerted by the floor on the hall be different in magnitude from the force the ball exerts on the floor?
You are sitting on the edge of a horizontal disk (for example, a playground merry-go-round) that has radius 3.00 mm and is rotating at a constant rate about a vertical axis. The coefficient of static friction between you and the surface of the disk is 0.430. a) What is the minimum time for one revolution of the disk if you are not to slide off? b) Your friend's weight is half yours. If the coefficient of static friction for him is the same as for you, what is the minimum time for one revolution if he is not to slide off?
An object with a mass of m placed on an oblique surface at an angle. We applied a horizontal force f = mg on the particle as shown. Assume that the friction force between the object and the surface is so large that the object remains in place? Find the vertical force FN and the friction force ff ? In terms of the static friction coefficient, what is the range of the angle at which the object remains stagnant?
A motorcyclist in the Globe of Death, pictured here, rides in a 2.2-m-radius vertical loop. To keep control of the bike, the rider wants the normal force on his tires at the top of the loop to equal or exceed his and the bike’s combined weight. What is the minimum speed at which the rider can take the loop?