/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 110 A car is driving on a straight... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A car is driving on a straight, level road at constant speed. Draw an FBD for the car, showing the significant forces that act upon it.

Short Answer

Expert verified
Question: Draw a free body diagram for a car driving on a straight, level road at a constant speed and explain the forces acting upon it. Answer: To draw a free body diagram for a car driving on a straight, level road at a constant speed, we need to identify the significant forces acting upon the car. There are four main forces: gravitational force (W), normal force (N), frictional force (Fr), and traction force (T). The diagram should show these forces as vectors, with W and N being vertical forces and Fr and T being horizontal forces. The net force acting on the car is zero, allowing it to maintain its constant speed.

Step by step solution

01

Identifying the significant forces

There are four main forces acting on the car: 1. Gravitational force (Weight) - The force due to the Earth's gravity acting vertically downwards on the car. 2. Normal force - The force exerted by the road surface vertically upwards on the car to counterbalance the gravitational force. 3. Frictional force - The force acting opposite to the direction of motion, which prevents the car from sliding along the road surface. 4. Traction force - The driving force provided by the car's engine to ensure the car maintains its constant speed.
02

Set up coordinates

To set up the FBD, first, we need to choose a coordinate system for representing the forces. Since the car moves only horizontally, we can choose a 2D coordinate system with: - x-axis: horizontal direction (positive to the right) - y-axis: vertical direction (positive upwards)
03

Representing the forces in the FBD

Now, we will represent the identified forces as arrows in the FBD, pointing in their respective directions according to the chosen coordinate system. 1. Gravitational force (W): Draw a downward arrow from the center of mass of the car, to represent the vertical downward force acting on the car due to gravity. 2. Normal force (N): Draw an upward arrow from the point of contact between the car and the road surface to represent the force exerted by the road on the car. 3. Frictional force (Fr): Draw a horizontal arrow pointing in the direction opposite to the car's motion, to represent the friction between the road surface and the car's tires. 4. Traction force (T): Draw a horizontal arrow pointing in the direction of the car's motion from the point where the car's tires are in contact with the road surface.
04

Label the forces

Lastly, label each force vector with its respective symbol (W, N, Fr, T) and the angle at which it acts with respect to the coordinate system. Since W and N are vertically upward and downward, they are acting at 90° with respect to the x-axis. Fr and T forces are acting horizontally along the x-axis, so they have angles of 0° and 180° with respect to the x-axis. The free body diagram for the car driving on a straight, level road at a constant speed should now show all significant forces acting upon the car, with their respective magnitudes and directions. By analyzing this FBD, we can conclude that the forces acting on the car are balanced, resulting in a net force of zero, which allows it to maintain a constant speed.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Refer to Problem \(36 .\) Consider the skydiver and parachute to be a single system. What are the external forces acting on this system?
Spring scale \(A\) is attached to the ceiling. A 10.0 -kg mass is suspended from the scale. A second spring scale, \(\mathrm{B}\), is hanging from a hook at the bottom of the 10.0 -kg mass and a 4.0 -kg mass hangs from the second spring scale. (a) What are the readings of the two scales if the masses of the scales are negligible? (b) What are the readings if each scale has a mass of $1.0 \mathrm{kg} ?$
A skier with a mass of \(63 \mathrm{kg}\) starts from rest and skis down an icy (frictionless) slope that has a length of \(50 \mathrm{m}\) at an angle of \(32^{\circ}\) with respect to the horizontal. At the bottom of the slope, the path levels out and becomes horizontal, the snow becomes less icy, and the skier begins to slow down, coming to rest in a distance of \(140 \mathrm{m}\) along the horizontal path. (a) What is the speed of the skier at the bottom of the slope? (b) What is the coefficient of kinetic friction between the skier and the horizontal surface?
A book rests on the surface of the table. Consider the following four forces that arise in this situation: (a) the force of the Earth pulling on the book, (b) the force of the table pushing on the book, (c) the force of the book pushing on the table, and (d) the force of the book pulling on the Earth. The book is not moving. Which pair of forces must be equal in magnitude and opposite in direction even though they are not an interaction pair?
A woman who weighs \(600 \mathrm{N}\) sits on a chair with her feet on the floor and her arms resting on the chair's armrests. The chair weighs $100 \mathrm{N}\(. Each armrest exerts an upward force of \)25 \mathrm{N}$ on her arms. The seat of the chair exerts an upward force of \(500 \mathrm{N}\). (a) What force does the floor exert on her feet? (b) What force does the floor exert on the chair? (c) Consider the woman and the chair to be a single system. Draw an FBD for this system that includes all of the external forces acting on it.
See all solutions

Recommended explanations on Physics Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.