1. What coefficient of friction do cars need on a flat curve?(a) Calculate the centripetal force exerted on a 950 kg car that negotiates a 450 m radius curve at \( 20.0 \, \frac{m}{s} \).*Enter to 3 significant figures*\[ F_c = 844.44 \, N \](b) Assuming an unbanked curve, find the minimum static coefficient of friction between the tires and the road, static friction being the reason that keeps the car from slipping (see figure below).**Free-body diagram:**The diagram includes:- A car viewed from the rear.- Forces are illustrated with arrows: - \( N \): Normal force, pointing upward. - \( w \): Weight of the car, pointing downward. - \( f \): Frictional force, pointing to the side (left). - \( f = F_c \): Friction equated to centripetal force, pointing to the right.Caption: This car on level ground is moving away and turning to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. A minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway.*Enter to 3 significant figures*\[ \mu_s = 0.899 \]

Answered: Image /qna-images/answer/4e79e2a2-ad09-417f-b1e9-d5ea2bfff799.jpg

1. What coefficient of friction do cars need on a flat curve? (a) Calculate the centripetal force exerted on a 950 kg car that negotiates a 450 m radius curve at 20.0 . S Enter to 3 significant figures F = 844.44 N (b) Assuming an unbanked curve, find the minimum static coefficient of friction between the tires and the road, static friction being the reason that keeps the car from slipping (see figure below). × W Free-body diagram f N W 7=Fc с Caption: This car on level ground is moving away and turning to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. A minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway. Enter to 3 significant figures Hs= 0.899

1. What coefficient of friction do cars need on a flat curve? (a) Calculate the centripetal force exerted on a 950 kg car that negotiates a 450 m radius curve at 20.0 . S Enter to 3 significant figures F = 844.44 N (b) Assuming an unbanked curve, find the minimum static coefficient of friction between the tires and the road, static friction being the reason that keeps the car from slipping (see figure below). × W Free-body diagram f N W 7=Fc с Caption: This car on level ground is moving away and turning to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. A minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway. Enter to 3 significant figures Hs= 0.899

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

Related questions

Q: The coefficients of static A car drives around a turn with a radius of curvature of and kinetic…

A: Given:Radius of curvature,R=75mStatic friction,μs=0.875Kinetic friction,μk=0.725 Now,A) Find the…

Q: Fc = 0.224 N (b) Assuming an unbanked curve, find the minimum static coefficient of friction between…

A: This problem can be solved using basic formula of 2D motion.

Q: 3. A 2800-lb car enters an S-curve at A with a speed of 45 mi/hr with brakes applied to reduce the…

A: mass of the car m = 2800 lb = 1270.059 Kg initial velocity of car u = 45 mi/hr = 20.1168 m/s final…

Q: Calculate the banking angle for a curve of radius 200 m such that a car traveling at 108 km/h may…

A: Given Data: Radius (r) = 200 m.Speed of the car (v) = 108 km/h = 30 m/s. To Determine: The banking…

Q: Circular Motion: Please answer vertically. Thank You. A penny is put on a turntable 0.4 meters from…

Q: The maximum static coefficient of friction between the tires of a 2000 kg car and the road is µs,max…

A: Given data The car's mass is: m = 2000 kg The friction coefficient is: μs,max=0.25 The rotation's…

Q: A 2.0 kg cart is traveling at a constant speed in a horizontal circle of radius 3.0 meters. The…

A: Given value--- mass = 2kg. radius = 3m . centripetal force = 24 N. We have to find--- centripetal…

Q: A car of mass 1,325 kg travels along a circular road of radius 70.0 m at 25.0 m/s. (a) Calculate the…

Q: A car travels at a steady 30.9 m/s around a horizontal (unbanked) curve of radius 200 m. What…

A: Given, Speed of car(v)= 30.9 m/s Radius of curve (R) = 200.

Q: A child with mass 40. kg sits on the edge of a merry-go-round at a distance of 3.0 m from its axis…

Q: A model airplane of mass m = the end of an L = 60.0-m control wire as shown in the figure below. The…

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

A: We need to calculate the minimum speed, in meters per second?and What is the minimum coefficient of…

Q: 1. (a) What is the radius of a bobsled turn banked at 75° and taken at 34 m/s, assuming it is…

Q: An unbanked highway curve has a radius of 100 m. If the coefficient of static friction is 0.60, what…

A: The maximum speed in an unbanked curve is given by, vmax=rμg Here, r is the radius of the curve, μ…

Q: An engineer is trying to determine the speeds at which she can swing a 400kg wrecking ball without…

Q: 6. A car turning on a banked road, considered frictionless (say, covered with ice), negoti- ates the…

A: When moving on a banked turn, a car experiences a centripetal force, which is directed inwards along…

Q: A car makes a 50-m-radius turn on a flat road with no banking. The car speeds up until a book on the…

Q: Boyan is driving a car around a turn of radius r = 20 m. The road is on a banked curve of 30°. If…

Q: Two cars are traveling at the same speed of 21 m/s on a curve that has a radius of 116 m. Car A has…

Q: The car weighs 1720 lbs and drives up the hill at a constant speed. Assuming the static friction…

Q: A commercial airliner weighing 4x105 N (90,000 lbs) makes a 10º banked turn in a horizontal circle…

A: The given values are, w=4×105 Nθ=10°v=89.4 m/s

Q: 8. On a wet road, the coefficient of static friction between a car's tires and the flat road is…

A: Given: Coefficient of the static friction between the wet road and the car tires μ = 0.4 Radius of…

Q: What is the bank angle θ necessary to allow the car below to take a 100 m radius turn at a speed of…

A: Newton's Second Law of Motion According to Newton's Second Law of motion, the rate of change of…

Q: S7. You rou radius of cu 0.600. Wha sliding? sba

Q: 6. A circular curve of highway is designed for traffic traveling at 60 km/h (37 mi/H a) If the…

Q: QUESTION 15 A 1,000 kg car takes a circular freeway exit that has a radius of curvature of 50 m. If…

A: From the question, it is given that- Mass of car: m = 1000 kg Coefficient of friction: μ = 0.90…

Q: 1800 kg car moving on a flat, horizontal road negotiates a curve as shown. The radius of the curve…

A: Answer - The correct option is (B) 14.3 m/s The rate of change of position of an object in any…

Q: 16. A banked circular road is designed for traffic moving at 60.0 km/h, radius of the curve is 200.0…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: 31. TA 40.0-kg child takes a ride on a Ferris wheel that rotates four times each minute and has a…

A: Disclaimer: “Since you have asked posted a question with multiple sub-parts, we will solve the first…

Q: A car rounds a banked curve where the radius of curvature of the road is ?, the banking angle is ?,…

A: The normal force ia the force acting perpendicular ly to the surface that os road here and the…

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

100%

1. What coefficient of friction do cars need on a flat curve?

(a) Calculate the centripetal force exerted on a 950 kg car that negotiates a 450 m radius curve at \( 20.0 \, \frac{m}{s} \).

*Enter to 3 significant figures*

\[ F_c = 844.44 \, N \]

(b) Assuming an unbanked curve, find the minimum static coefficient of friction between the tires and the road, static friction being the reason that keeps the car from slipping (see figure below).

**Free-body diagram:**

The diagram includes:
- A car viewed from the rear.
- Forces are illustrated with arrows:
- \( N \): Normal force, pointing upward.
- \( w \): Weight of the car, pointing downward.
- \( f \): Frictional force, pointing to the side (left).
- \( f = F_c \): Friction equated to centripetal force, pointing to the right.

Caption: This car on level ground is moving away and turning to the left. The centripetal force causing the car to turn in a circular path is due to friction between the tires and the road. A minimum coefficient of friction is needed, or the car will move in a larger-radius curve and leave the roadway.

*Enter to 3 significant figures*

\[ \mu_s = 0.899 \]

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: Given data

VIEW

Step 2: Calculating coefficient of friction needed

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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 600 kg car is going around a banked curve with a radius of 110 m at a speed of 24.5 m/ s. What is the appropriate banking angle so that the car stays on its path without the assistance of friction? Can you draw a free body diagram for this problem and expain it as well.
A 2000 kg car is driving at a constant speed of 34.9 m/s takes a curve with a 80 m radius. The road is not banked (level road). What is the minimum value of the coefficient of static friction between the tires and the road so that the car can take this curve without slipping? Round your final answer to 1 decimal place. Side note: The speed's value is, in the range of 40 mph to 80 mph, given randomly in the question. If the coefficient of static friction is larger than 1, the car would slip. It is unrealistic to have that high the coefficient of friction in real life. Don't over-speed!
In an amusement park, a cylinder rotates with 30 rpm and it creates centripetal force on a boy with mass of 75.0 kg which it is cause to make him stuck on the wall of cylinder without touching the floor. The radius of cylinder is 3.80m. Find static friction coefficient between boy’s body and the wall of cylinder.
Circular Motion. Please answer vertically. Thank You. A 5000 kg airplane is flying in a circle. a) What is the weight of the airplane? b) How much force is needed to hold it in a 500 m circle with a speed of 60 m/s? c) The wings providea lift equal to the weight and also an inward centripetal force. What total force must the wings provide? d) At what angle should they be banked?
Not sure how to do this
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 real problem on icy mountain roads). a) Calculate the ideal speed, in km/h, to take a 140 m radius curve banked at 18.0°. b) What is the minimum coefficient of friction needed for a frightened driver to take the same curve at 25.0 km/h?
A car weighs 8500 N and is rounding a bend in the road. The radius of the curve is 200 m and the car is moving at 15 meters per second. The coefficient of friction is .5 What is the normal force what is the friction force
Pls help ASAP
positivephysics An engineer is trying to determine the maximum speed at which a 700kg car can travel around the curve. The coefficient of friction between the wheels and the road is 0.3. Answer questions for the case when the car is traveling at the maximum speed. Number of forces: Force(s) towards center: Are all forces balanced? X What is the magnitude of the turning friction? x X PREMIUM X 3 What is the centripetal net force on the car? X no X What is the car's centripetal acceleration? X X Unit 10: Circular Motion, Complete Problems 1 (In plane of screen for back view) friction At what maximum speed can the car navigate the curve? 4398 Dashboard A Translate Using g = 10m/s² Keep 3+ sig figs Check Answers Desmos Calculator DELL ISTOIS calis Reference 330m Completion: 7% Accuracy: 5% Lesson 1 Can Be Solved :( 2 3 4
Problem 1. What is the maximum speed with which a 2,000-kg car can round a turn of radius 75.0 m on a flat (horizontal) road if the coefficient of static friction between the tires and the road is 0.600? What angle should the turn be banked to keep the car on the bank at this speed if the coefficient of static friction is changed to 0 (an iey curve)?
b) The maximum speed that a car can turn a curve of 9.00 m radius without skidding is 70.0 mph (miles per hour). If the coefficient of friction between the tires and the road is 0.600, what is the rated speed of the banked curve? On a wet day, the same car begins to skid on the curve when its speed reaches 60.0 mph. What is the coefficient of friction in this case? Please answer with complete solution and fre body diagram
3. A car of mass m is traveling along a circular track of radius r with a constant speed v. Determine the minimum coefficient of static friction between the tires and the track required for the car to remain in circular motion if: a. the track is flat. b. the track has an angle