COLLEGE PHYSICS
2nd Edition
ISBN: 9781464196393
Author: Freedman
Publisher: MAC HIGHER
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Chapter 5, Problem 86QAP
To determine
The minimum coefficient of static friction between the wall of the cylinder and the backs of the riders.
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Q1) Circular motionA carnival ride has people stand inside a vertical cylinder with theirbacks to the wall. The cylinder starts spinning counterclockwise and theriders find that they are “stuck” to the wall and don’t slide down, evenwhen the floor is removed.The ride has a radius of r. The person has a mass of m and is movingwith a constant speed of v. The coefficient of static friction between theperson and the wall is μs , and kinetic friction μk. The person is onlytouching the wall, not touching the floor.a) Draw a free body diagram for the person when they are on the left-hand side, as shown.Clearly label all forces. Use the notation used in class.b) What is the magnitude and direction of the acceleration of the person?Give your answer in terms of variables only (r, v, m, μs, μk, and g)c) What is the magnitude of the normal force of the wall on the person?Solve this problem using Newton’s 2nd Law. Show all your work.Give your answer in terms of variables only (r, v, m, μs, μk, and…
The uniform crate has a mass of 150 kg. If the coefficient of static friction between the crate and the floor is us = 0.2, determine the smallest mass of the man so he can move the crate. The coefficient of static friction between his shoes and the floor is us = 0.45.
Assume the man exerts only a horizontal force on the crate
2.4 m
1.6 m
-1.2 m-
In the figure, a car is driven at constant speed over a circular hill and then into a circular valley with the same radius. At the top of the
hill, the normal force on the driver from the car seat is 0. The driver's mass is 98.0 kg. What is the magnitude of the normal force on the
driver from the seat when the car passes through the bottom of the valley?
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Chapter 5 Solutions
COLLEGE PHYSICS
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- Question 2 - Go Kart Track Your go karts have a mass of 450kg and travel around a circular curve on a flat, horizontal track at a radius of 42 m. a) Draw a diagram to show the go kart on the track and add an arrow to show the direction of the frictional force needed for the car to travel around the curve at a radius of 42 m. b) The maximum frictional force between the tyres and the road is equal to 20% of the weight of the car and driver. Calculate the coefficient of friction when an adult of mass 70kg is driving the kart. c) Calculate maximum angular velocity at which the car can travel round the curve at a constant radius of 42 m.arrow_forward1) Circular motion, vertical surface, with static friction: At an amusement park, you are on a ride which spins in a horizontal circle of radius R. Your back is to a vertical wall on the inside of the circle. The coefficient of static friction between you and the wall is ,. At a certain speed, the floor drops away, but you don't slide downward against the wall-you stay at "rest" relative to the wall. (Search "Rotor carnival ride" on YouTube to see an example.) a) Draw a FBD of you. b) Determine the minimum radial acceleration such that you don't slide when the floor is gone. dopust c) Determine the minimum tangential speed such that you don't slide when the floor is gone. d) Determine the period of time for you to go around once. e) Determine all these values if R = 10.0 m, , = 0.25. R +You No floor Taxisarrow_forwardA string can support a stationary hanging load of mass 25 kg before breaking. a) Calculate the maximum tension that the string can support. b) Suppose one end of the string is attached to an object of mass m = 3 kg, while the other end is fixed to the center of a frictionless table as shown in the figure. When given an initial speed, the object moves along a horizontal circle of radius R = 0.8 m. Calculate the maximum speed the object can have before the string breaks.arrow_forward
- A 1000-N car is proceeding on a roller coaster ride. The car enters a vertical loop of radius-30-meters. The speed of the car as it enters the loop is 50 m/s. The car slows owing to gravity and the speed at the top of the loop is 36 m/s. a) Determine the normal force acting on the car at the bottom of the loop. b) Determine the normal force acting on the car at the top of the loop. c) What speed must the car be traveling at the top of the loop for the passenger to appear weightless.arrow_forwardP2 = 6 m A 1000 kg car starts from rest at 12 m 3 point 1 and moves without friction down the track shown. 4-5 m Determine: 2 a) the force exerted by the track on the car at point 2, and b) the minimum safe value of the radius of curvature at point 3.arrow_forwardThe coefficient of static friction for the tires of a race car is 0.800 and the coefficient of kinetic friction is 0.600. The car is on a level circular track of 25.0 m radius on a planet where g=2.45m/s^2 compared to Earth's 9.80m/s^2 . The maximum safe speed on the track on the planet is ____ times as large as the maximum safe speed on Earth. Question 2 options: 0.75 4.00 0.500 2.00 0.250arrow_forward
- Driving in your car with a constant speed of v = 22 m/s, you encounter a bump in the road that has a circular cross-section, as indicated in the figure (Figure 1). Part A For the steps and strategies involved in solving a similar problem, you may view the following Quick Example 6-17 video: If the radius of curvature of the bump is 52 m, find the apparent weight of a 66-kg person in your car as you pass over the top of the bump. SOLUTION Express your answer in newtons. We use Newton's secend lew 2R, = may ? Wa = Submit Request Answer Provide Feedback Figurearrow_forward15. mmh Multiple-Concept Example 7 reviews the concepts that play a role in this problem. Car A uses tires for which the coefficient of static friction is 1.1 on a particular unbanked curve. The maximum speed at which the car can negotiate this curve is 25 m/s. Car B uses tires for which the coefficient of static friction is 0.85 on the same curve. What is the maximum speed at which car B can negotiate the curve?arrow_forwardIn a pickup game of dorm shuffleboard, students crazed by final exams use a broom to propel a calculus book along the dorm hallway. If the 3.5 kg book is pushed from rest through a distance of 0.83 m by the horizontal 31 N force from the broom and then has a speed of 1.0 m/s, what is the coefficient of kinetic friction between the book and floor? Number Unitsarrow_forward
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