(a) Explanation The friction force between the tires and the road opposes the motion of the car on the road and makes it stop. Write the expression for the normal reaction of the car as. n = m g (I) Here, m is the mass of the car and g is the acceleration due to gravity. Write the expression for the maximum friction force acting on the car as. f s = μ s n Substitute m g for n in above equation. f s = μ s m g (II) Here, f s is the friction force, μ s is the coefficient of the static friction and n is the normal reaction of the car. The friction force acting on the car balances the force of acceleration of the car. Write the expression for the equilibrium of the car as. − f s = m a (III) Here, a is the acceleration of the car. The negative sign shows that the force acts in the negative direction of acceleration. Substitute μ s m g for f s in equation (III). − μ s m g = m a Rearrange the above equation. a = − μ s g (IV) The car now moves in a straight line and follows the newton’s law of motion. Finally the car comes to rest. So the final velocity of the car will be zero. Write the expression for the newton’s third equation of motion as. v 2 = u 2 + 2 a x (V) Here, v is the final velocity, u is the initial velocity and x is the displacement of car (b) To determine The minimum distance in which the car stops.

Physics for Scientists and Engineers with Modern Physics, Technology Update

9th Edition

ISBN: 9781305401969

Author: SERWAY, Raymond A.; Jewett, John W.

Publisher: Cengage Learning

See similar textbooks

Concept explainers

Static and Kinetic Friction

Kinetic friction comes into existence when there are moving surfaces means in other words we can say that the force which comes into existing between moving surfaces is known as kinetic friction.

Videos

Question

Chapter 5, Problem 54P

(a)

To determine

The minimum distance in which the car stops.

(b)

To determine

The minimum distance in which the car stops.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 5, Problem 53P

Chapter 5, Problem 55P

Students have asked these similar questions

No chatgpt pls will upvote Already

Two objects get pushed by the same magnitude of force. One object is 10x more massive. How does the rate of change of momentum for the more massive object compare with the less massive one? Please be able to explain why in terms of a quantitative statement found in the chapter.

A box is dropped on a level conveyor belt that is moving at 4.5 m/s in the +x direction in a shipping facility. The box/belt friction coefficient is 0.15. For what duration will the box slide on the belt? In which direction does the friction force act on the box? How far will the box have moved horizontally by the time it stops sliding along the belt?

Chapter 5 Solutions

Physics for Scientists and Engineers with Modern Physics, Technology Update

Ch. 5.2 - Which of the following statements is correct? (a)...Ch. 5.4 - An object experiences no acceleration. Which of...Ch. 5.4 - You push an object, initially at rest, across a...Ch. 5.5 - Suppose you are talking by interplanetary...Ch. 5.6 - (i) If a fly collides with the windshield of a...Ch. 5.8 - You press your physics textbook flat against a...Ch. 5.8 - Prob. 5.7QQ Ch. 5 - The driver of a speeding empty truck slams on the...Ch. 5 - In Figure OQ5.2, a locomotive has broken through...Ch. 5 - Prob. 3OQ

Ch. 5 - Prob. 4OQ Ch. 5 - Prob. 5OQ Ch. 5 - The manager of a department store is pushing...Ch. 5 - Two objects are connected by a string that passes...Ch. 5 - Prob. 8OQ Ch. 5 - A truck loaded with sand accelerates along a...Ch. 5 - A large crate of mass m is place on the flatbed of...Ch. 5 - If an object is in equilibrium, which of the...Ch. 5 - A crate remains stationary after it has been...Ch. 5 - An object of mass m moves with acceleration a down...Ch. 5 - Prob. 1CQ Ch. 5 - Your hands are wet, and the restroom towel...Ch. 5 - In the motion picture It Happened One Night...Ch. 5 - If a car is traveling due westward with a constant...Ch. 5 - A passenger sitting in the rear of a bus claims...Ch. 5 - A child tosses a ball straight up. She says that...Ch. 5 - A person holds a ball in her hand. (a) Identify...Ch. 5 - Prob. 8CQ Ch. 5 - Prob. 9CQ Ch. 5 - Twenty people participate in a tug-of-war. The two...Ch. 5 - Prob. 11CQ Ch. 5 - Prob. 12CQ Ch. 5 - A weightlifter stands on a bathroom scale. He...Ch. 5 - Prob. 14CQ Ch. 5 - Suppose you are driving a classic car. Why should...Ch. 5 - Prob. 16CQ Ch. 5 - Describe two examples in which the force of...Ch. 5 - The mayor of a city reprimands some city employees...Ch. 5 - Give reasons for the answers to each of the...Ch. 5 - Prob. 20CQ Ch. 5 - Identify actionreaction pairs in the following...Ch. 5 - Prob. 22CQ Ch. 5 - Prob. 23CQ Ch. 5 - A certain orthodontist uses a wire brace to align...Ch. 5 - If a man weighs 900 N on the Earth, what would he...Ch. 5 - A 3.00-kg object undergoes an acceleration given...Ch. 5 - Prob. 4P Ch. 5 - Prob. 5P Ch. 5 - The average speed of a nitrogen molecule in air is...Ch. 5 - Prob. 7P Ch. 5 - Prob. 8P Ch. 5 - Review. The gravitational force exerted on a...Ch. 5 - Review. The gravitational force exerted on a...Ch. 5 - Review. An electron of mass 9. 11 1031 kg has an...Ch. 5 - Prob. 12P Ch. 5 - One or more external forces, large enough to be...Ch. 5 - A brick of mass M has been placed on a rubber...Ch. 5 - Two forces, F1=(6.00i4.00j)N and...Ch. 5 - Prob. 16P Ch. 5 - Prob. 17P Ch. 5 - Prob. 18P Ch. 5 - Prob. 19P Ch. 5 - You stand on the seat of a chair and then hop off....Ch. 5 - Prob. 21P Ch. 5 - Review. Three forces acting on an object are given...Ch. 5 - Prob. 23P Ch. 5 - Prob. 24P Ch. 5 - Review. Figure P5.15 shows a worker poling a boata...Ch. 5 - An iron bolt of mass 65.0 g hangs from a string...Ch. 5 - Prob. 27P Ch. 5 - The systems shown in Figure P5.28 are in...Ch. 5 - Prob. 29P Ch. 5 - A block slides down a frictionless plane having an...Ch. 5 - The distance between two telephone poles is 50.0...Ch. 5 - A 3.00-kg object is moving in a plane, with its x...Ch. 5 - A bag of cement weighing 325 N hangs in...Ch. 5 - A bag of cement whose weight is Fg hangs in...Ch. 5 - Prob. 35P Ch. 5 - Prob. 36P Ch. 5 - An object of mass m = 1.00 kg is observed to have...Ch. 5 - Prob. 38P Ch. 5 - Prob. 39P Ch. 5 - An object of mass m1 = 5.00 kg placed on a...Ch. 5 - Prob. 41P Ch. 5 - Two objects are connected by a light string that...Ch. 5 - Prob. 43P Ch. 5 - Prob. 44P Ch. 5 - In the system shown in Figure P5.23, a horizontal...Ch. 5 - An object of mass m1 hangs from a string that...Ch. 5 - A block is given an initial velocity of 5.00 m/s...Ch. 5 - A car is stuck in the mud. A tow truck pulls on...Ch. 5 - Prob. 49P Ch. 5 - Prob. 50P Ch. 5 - In Example 5.8, we investigated the apparent...Ch. 5 - Consider a large truck carrying a heavy load, such...Ch. 5 - Prob. 53P Ch. 5 - Prob. 54P Ch. 5 - A 25.0-kg block is initially at rest on a...Ch. 5 - Why is the following situation impassible? Your...Ch. 5 - Prob. 57P Ch. 5 - Before 1960m people believed that the maximum...Ch. 5 - Prob. 59P Ch. 5 - A woman at an airport is towing her 20.0-kg...Ch. 5 - Review. A 3.00-kg block starts from rest at the...Ch. 5 - The person in Figure P5.30 weighs 170 lb. As seen...Ch. 5 - A 9.00-kg hanging object is connected by a light,...Ch. 5 - Three objects are connected on a table as shown in...Ch. 5 - Prob. 65P Ch. 5 - A block of mass 3.00 kg is pushed up against a...Ch. 5 - Prob. 67P Ch. 5 - Prob. 68P Ch. 5 - Prob. 69P Ch. 5 - A 5.00-kg block is placed on top of a 10.0-kg...Ch. 5 - Prob. 71P Ch. 5 - A black aluminum glider floats on a film of air...Ch. 5 - Prob. 73AP Ch. 5 - Why is the following situation impossible? A book...Ch. 5 - Prob. 75AP Ch. 5 - A 1.00-kg glider on a horizontal air track is...Ch. 5 - Prob. 77AP Ch. 5 - Prob. 78AP Ch. 5 - Two blocks of masses m1 and m2, are placed on a...Ch. 5 - Prob. 80AP Ch. 5 - An inventive child named Nick wants to reach an...Ch. 5 - Prob. 82AP Ch. 5 - Prob. 83AP Ch. 5 - An aluminum block of mass m1 = 2.00 kg and a...Ch. 5 - Prob. 85AP Ch. 5 - Prob. 86AP Ch. 5 - Prob. 87AP Ch. 5 - Prob. 88AP Ch. 5 - A crate of weight Fg is pushed by a force P on a...Ch. 5 - Prob. 90AP Ch. 5 - A flat cushion of mass m is released from rest at...Ch. 5 - In Figure P5.46, the pulleys and pulleys the cord...Ch. 5 - What horizontal force must be applied to a large...Ch. 5 - Prob. 94AP Ch. 5 - A car accelerates down a hill (Fig. P5.95), going...Ch. 5 - Prob. 96CP Ch. 5 - Prob. 97CP Ch. 5 - Initially, the system of objects shown in Figure...Ch. 5 - A block of mass 2.20 kg is accelerated across a...Ch. 5 - Prob. 100CP Ch. 5 - Prob. 101CP Ch. 5 - In Figure P5.55, the incline has mass M and is...Ch. 5 - Prob. 103CP Ch. 5 - Prob. 104CP

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.

The minimum distance in which the car stops.

Solution Summary: The author explains the friction force between the tires and the road opposes the motion of the car and makes it stop.

Concept explainers

Videos

The minimum distance in which the car stops.

The minimum distance in which the car stops.

Want to see the full answer?

Chapter 5 Solutions