A car making a turn on a dry, banked highway ramp is experiencing friction. The coefficient of static friction between the tires and the road is 0.60. The banking angle is 40° and the radius of the turn is 200 m. a) Draw a free-body diagram of the car. b) Determine the minimum speed at which the car can safely negotiate the turn without sliding down the ramp.

A car making a turn on a dry, banked highway ramp is experiencing friction. The coefficient of static friction between the tires and the road is 0.60. The banking angle is 40° and the radius of the turn is 200 m. a) Draw a free-body diagram of the car. b) Determine the minimum speed at which the car can safely negotiate the turn without sliding down the ramp.

Name: A car making a turn on a dry, banked highway ramp is experiencing fri
Uploaded: 2024-03-20T06:56:46.000Z
Channel: Bartleby
Description: A car making a turn on a dry, banked highway ramp is experiencing friction. The coefficient of staticfriction between the tires and the road is 0.60. The banking angle is 40° and the radius of the turn is 200m.a) Draw a free-body diagram of the car.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

Please asap
For the conical pendulum shown below, the bob moves in a horizontalcircle of radius 0.1 m, at a constant speed v. The mass of the bob is 81 g. The cord sweeps a cone that makes an angle 31.5 o with respect to the vertical. The x and y axes are shown in the figure with positive x pointing towards the center of the circle and positive y pointing upwards. c) Calculate the tension T in the string. d) Calculate the speed v of the bob.
1. You are working as a letter sorter in the Post Office. Postal regulations require that employees' footwear must have a minimum coefficient of static friction of 0.5 on a specified tile surface. You are wearing athletic shoes for which you do not know the coefficient of static friction. In order to determine the coefficient, you imagine that there is an emergency and start running across the room. You have a co-worker time you, and find that you can begin at rest and move 4.23 m in 1.20 s. If you try to move faster than this, your feet slip. Assuming your acceleration is constant, does your footwear qualify for the postal regulation? 7
Problem 2: Princess Peach is competing in a Mario Kart race on Rainbow Road. Rainbow Road has no rails, so Peach has to be careful taking turns to make sure she doesn't fall off. There is a notoriously difficult turn on the track made up of a portion of a circle 120m in diameter. The road is angled at 30°. The track has a friction coefficient of μ = .40. Given that Peach and the car weigh 800 kg. a) Draw a free-body diagram for the car on the road. b) What is the magnitude of the normal force, and what angle does it make with the horizontal? c) Repeat part b for the the friction force d) How fast can Peach take the turn without flying or falling off the track?
A crate of eggs is located in the middle of the flat bed of a pickup truck as the truck negotiates a curve in the flat road. The curve may be regarded as an arc of a circle of radius 33.8 m. If the coefficient of static friction between crate and truck is 0.610, how fast can the truck be moving without the crate sliding? Vmax= m/s
Car A uses tires for which the coefficient of static friction is 0.281 on a particular unbanked curve. The maximum speed at which the car can negotiate this curve is 11.0 m/s. Car B uses tires for which the coefficient of static friction is 0.812 on the same curve. What is the maximum speed at which car B can negotiate the curve?
1. A racing bicycle with rider has a combined mass of 85 kg. The racer is on a velodrome (circular racing track) that has banked curves. The surface is banked at an angle of 35° from horizontal. The track has a radius of 60 m. a) Draw a free-body diagram of the racer viewing the racecar from the front (left) and from above (right.) Ignore friction. Indicate the direction of the acceleration of the racer next to your diagram. b) Based on your free-body diagram do you think the car could possibly stay on a circular path (the track) without friction? Explain. c) Which of the forces you drew has a component in the same direction as the acceleration? Explain. d) Write down your force equations and solve for the acceleration of the racer moving at a constant speed around the track with no friction. (Hint: Use the direction of the acceleration as one of your axes. Do not use along-the-incline and perpendicular-to- the-incline as your axes.) e) What speed would the racer have with this…
1. Show Free-Body Diagram (FBD) as necessary. You are riding a roller coasterand approaching a loop with a radius of 10.0 meters. Unfortunately, your seatbelt malfunctioned and become loose such that you can slip easily. If the speed is constant at 11.0 m/s while travelling thru the loop, are you going to make it?
Multiple part question: A worker in a factory slides a heavy box up a ramp into a truck. The box has a mass of 84 kg, and the ramp is 3 m long and makes an angle of 34° with the horizontal. The coefficient of friction between the box and ramp is 0.6. What is the weight of the box? What is the normal force acting on the box? What is the force of friction acting on the box? Assuming the worker pushes the box up the ramp with a constant velocity, how much work does the factory worker do on the box in order to get it into the truck? How much gravitational potential energy does the box have once it reaches the top of the ramp?
A box is initially sliding up a 32.5 ̊ incline at a speed of 13.0 m/s. The coefficients of friction between the incline and the box are μk = 0.680 and μs = 0.740. a)What is the acceleration of the box while it is sliding up the incline? b)How far will the box travel up the inline before coming to a stop? c)What would the coefficient of kinetic friction have to be for the box to be able to slide down the ramp at a constant speed?
During a physics inquiry, you place a 0.250kg dynamics cart on a ramp inclined at 25.0 degrees to the horizontal. The cart is initially at rest, before you pull it up the ramp with a force sensor. The force sensor exerts a force on the cart parallel to the ramp. The coefficient of friction is 0.300. Determine the force to pull the cart up the ramp at an acceleration of 1.50 m/s/s. Include a force diagram.
A 1.6 kg box is at rest on a ramp of angle 22°. The coefficient of maximum static friction is 0.56 and the coefficient of kinetic friction is 0.48. What is the magnitude of the friction force between the box and ramp?