1) Determine the maximum speed at which a car can take a curve banked at 37 degrees and with radius 50 m for: a) a frictionless surface; b) a surface with coefficient of static friction 0.4 with the tires of the car.

1) Determine the maximum speed at which a car can take a curve banked at 37 degrees and with radius 50 m for: a) a frictionless surface; b) a surface with coefficient of static friction 0.4 with the tires of the car.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter5: More Applications Of Newton’s Laws

Section: Chapter Questions

Problem 19P: A crate of eggs is located in the middle of the flatbed of a pickup truck as the truck negotiates a...

See similar textbooks

Related questions

Q: A car travels around a horizontal bend of radius 180.4 m at a constant speed. If the coefficient of…

Q: A circular road of mean radius 30.0 m is banked for 11.17 m/s. What is the angle of banking? If a…

Q: A vehicle travels along a curve of radius 150 m banked at an angle of 15°. If the static coefficient…

Q: A bank curve on a highway is designed for traffic to move at 60km/hr. The radius of thecurve is…

A: Given: vmax= 60 km/hr R= 200m v= 40 km/hr For…

Q: A car is safely negotiating an unbanked circular turn at a speed of 26 m/s. The road is dry, and the…

A: Given:Initial speed of the car = 26 m/s

Q: A 570-kg car traveling at 28 m/s is going around a curve having a radius of 118 m that is banked at…

A: The centripetal force on the car is equal to the sum of the horizontal components of the friction…

Q: Curves on some test tracks and race courses, such as the Daytona International Speedway in Florida,…

Q: A high-speed test track for cars has a curved section an arc of a circle of radius R = - 858 m. The…

A: Detailed solution of given question is given in below steps.

Q: A car takes a banked curve at less than the ideal speed , speed , friction is needed to keep it from…

Q: Determine the minimum angle at which a roadbed should be banked so that a car traveling at 20.0 m/s…

Q: A 600-kg car is going around a curve with a radius of 120 m that is banked at an angle of 20° with a…

A: The free body diagram can be shown as below, Here N is the normal force, f is the friction, FC is…

Q: A car rounds a curve that is banked inward. The radius of curvature of the road is R = 104 m, the…

Q: A 14000N car traveling at 25 m/s rounds a curve of radius 200 m. Find the following 1. The…

A: The expression for the centripetal acceleration, ac=v2r Substitute, ac=25 m/s2200 m=3.125 m…

Q: A car rounds a level turn with an 85-m radius. Suppose it is an icy day when the coefficients of…

A: Let v be the velocity of the car. Let r be the radius of the circular track, us is the static…

Q: Determine the velocity that a car should have while traveling around a frictionless curve of radius…

Q: 3. If the coefficient of static friction for the tires on a road of 0.25, at what maximum speed can…

Q: Determine the minimum angle at which a road should be banked so that a car travelling at 20 m/s can…

Q: Curved portions of highways are always banked (tilted) to prevent cars from sliding off the…

Q: Determine the rated speed of a highway curve of radius p= 120 m banked through an angle 0= 18°. The…

Q: If a car takes a banked curve at less than a given speed, friction is needed to keep it from sliding…

A: Given: The angle of banking is 13o. The radius of the curvature is 108 m.

Q: A stunt pilot is flying through the bottom of a vertical loop of radius 150.0 m. Determine the plane…

A: The free-body diagram of the plane at the bottom of the vertical loop is shown below. Here, m is…

Q: Determine the maximum speed at which a car turn a banked curve with radius r = 60m. The bank angle…

A: The formula for the maximum speed of a banked curve on a road is:

Q: A flat (unbanked) curve on a highway has a radius of 220 m. A car rounds the curve at a speed of…

Q: velodrome is a circular race-track with inclined "banked" turns, for bicycle racing. Consider ack…

A: Given Radius of track r = 50 m Coefficient of friction μ =0.25 mass m= 15 kg angle of banking θ =…

Q: A traffic circle has a radius of 42 m. The traffic circle is not banked, and it is to be designed…

Q: 9. What is the maximum speed at which a car can round a curve of 25m radius on a level road if the…

Q: One 1050 kg car rounds curve of radius 75 m banked at an angle of 15 degrees, if the car is…

Q: A curve of radius 150 m is banked at an angle of 10°. An 800-kg car negotiates the curve at 85 km/h…

A: Radius of curve is r = 150 m Banking angle is 10 degree Mass of the car is m = 800 kg Speed of the…

Q: A car travels at a steady 40.0 m/s around a horizontal curve of radius 200 m. What is the minimum…

A: Given: Velocity is denoted by , v=40 m/s Radius is denoted by , r= 200m To find: Minimum coefficient…

Q: A car travels around a horizontal bend of radius 169.6 m at a constant speed. If the coefficient of…

A: Given : Radius of a horizontal bend (r) = 169.6 m Coefficient of static friction (μs) = 3.7

Q: The vehicle is designed to combine the feel of a motorcycle with the comfort and safety of an…

Q: The infamous Lombard Street in San Francisco has an abnormally steep block which consists of several…

Q: An engineer designs a freeway exit ramp so that cars can round the curve without relying on…

Q: For a car traveling with speed 20 m/s around a curve of radius 10 m, determine the approximate angle…

A: The expression for find angle is FNsinθ=mv2RFNcosθ-mg=0tanθ=v2Rgθ=tan-1v2Rg

Q: A bus passenger has her laptop sitting on the flat seat beside her as the bus, travelling at 10.0…

A: Given data: Speed (v) = 10.0 m/s Radius (r) = 25.0 m Required: Minimum coefficient of static…

Q: What is the maximum speed at which the car can round a curve of 30-m radius on a level road is the…

A: Given Data: r = 30 m μ = 0.8 v = ? Solution: The force equations for the given scenario are N = mg…

Q: 1000-kg car rounds a curve on flat road of radius 50 m at a speed of 50 k/h. Will the car make the…

A: 1000-kg car rounds a curve on flat road of radius 50 m at a speed of 50 k/h. Will thecar make the…

Q: A block is hung by a string from the inside roof of a van. When the van goes straight ahead at a…

Q: On a wet road, the coefficient of static friction between a car's tires and the flat road is 0.40.…

A: The equation for the maximum speed the car can have is given by,

Q: if the coefficient of friction between vehicles and the road is 0.4 and the radius of curvature of a…

A: Given data *The coefficient of friction between vehicles and the road is μ=0.4 *The radius of…

Q: A car rounds a level (unbanked) curve with a radius of 95 m without skidding at a speed of 25 m/s.…

A: In the problem statement it is given that a car rounds an unbanked turn without skidding and this…

Q: During a snow where the road is almost frictionless, a car can round a curve of radius 100 m at a…

A: Radius , R = 100 m Maximum speed when snowy , Vmax(s) = 15 m/s Safe velocity , V = 25 m/s To find =…

Concept explainers

Centripetal Force

A particle, body, object or certain mass while travelling in a rotational path or semicircular path, experiences an inertia force. If that inertia force pulls the towards the inward of the imaginary circle in the rotation, it is termed as centripetal force.

Question

1) Determine the maximum speed at which a car can take a curve banked at 37 degrees
and with radius 50 m for: a) a frictionless surface; b) a surface with coefficient of static
friction 0.4 with the tires of the car.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A banked highway is designed for traffic moving at 90.0 km/h. The radius of the curve is 310 m. What is the angle of banking of the highway?
Railroad tracks follow a circular curve of radius 500.0 m and are banked at an angle of 5.0 . For trains of what speed are these tracks designed?
What Is the ideal banking angle for a gentle turn of 1.20-km radius on a highway with a 105 km/h speed limit (about 65 mi/h), assuming everyone travels at the limit?
Modem roller coasters have vertical loops like the one shown here. The radius of curvature is smaller at the top than on the sides so that the downward centripetal acceleration at the top will be greater than the acceleration due to gravity, keeping the passengers pressed firmly into their seats. (a) What is the speed of the roller coaster at the top of the loop if the radius of curvature there is 15.0 m and the downward acceleration of the car is 1.50 g ? (b) How high above the top of the loop must the roller coaster start from rest, assuming negligible friction? (c) If it actually starts 5.00 m higher than your answer to (b), how much energy did it lose to friction? Its mass is 1.50103kg .
An 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?
What is the ideal banking angle for a gentle turn of 1.20 km radius on a highway with a 105 km/h speed limit (about 65 mi/h), assuming everyone travels at the limit?
A car rounds an unbanked curve of radius 65 m. If the coefficient of static friction between the road and car is 0.70, what is the maximum speed at which the car can traverse the curve without slipping?
A fairground ride spins its occupants inside a flying saucer-shaped container. If the horizontal circular path the riders follow has an 8.00-m radius, at how many revolutions per minute are the riders subjected to a centripetal acceleration equal to that of gravity?
A space station, in the form of a wheel 120 m in diameter, rotates to provide an artificial gravity of 3.00 m/s2 for persons who walk around on the inner wall of the outer rim. Find the rate of the wheels rotation in revolutions per minute that will produce this effect.
A 30.O-g ball at the end of a stung is swung in a vertical circle with a radius of 25.0 m. The rotational velocity Is 200.0 cm/s. Find the tension in the string: (a) at the top of the circle, (b) at the bottom of the circle, and (c) at a distance of 12.5 cm from the center of the circle (r=12.5cm).
A door in a hospital has a pneumatic closer that pulls the door shut such that the doorknob moves with constant speed over most of its path. In this part of its motion, (a) does the doorknob experience a centripetal acceleration? (b) Does it experience a tangential acceleration?
If a car takes a banked curve at less than the ideal speed, friction is needed to keep It from sliding toward the inside of the curve (a problem on icy mountain roads). (a) Calculate the ideal speed to take a 100.0 m radius curve banked at 15.0. (b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 20.0 km/h?