COLLEGE PHYSICS-CONNECT ACCESS
COLLEGE PHYSICS-CONNECT ACCESS
5th Edition
ISBN: 9781260486834
Author: GIAMBATTISTA
Publisher: MCG
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 5, Problem 49P

(a)

To determine

The speed of the car after travelled one fourth of the circumference of the circular path.

(a)

Expert Solution
Check Mark

Answer to Problem 49P

The speed of the car after travelled one fourth of the circumference of the circular path is 17.7m/s_.

Explanation of Solution

Write the expression for the circumference of the circle.

    C=2πr        (I)

Here, C is the circumference of the circle, r is the radius of the circle.

Write the expression for the kinematic equation for the velocity.

    v2=u2+2aTs        (II)

Here, v is the final velocity, aT is the acceleration, s is the distance travelled by the car.

The initial velocity of the car is zero and the distance travelled is one fourth of the circumference of the circular path.

Use equation (I) and (II) to write the expression of velocity for the one fourth of the circumference of the circular path travelled by the car.

    v=2aT(C4)        (III)

Use equation (I) in (III) to solve for v.

    v=2aT(2πr4)=aTπr        (IV)

Conclusion:

Substitute 2.00m/s2 for aT, 50.0m for r in equation (IV) to find v.

    v=(2.00m/s2)π(50.0m)=17.7m/s

Therefore, the speed of the car after travelled one fourth of the circumference of the circular path is 17.7m/s_.

(b)

To determine

The radial acceleration of the car.

(b)

Expert Solution
Check Mark

Answer to Problem 49P

The radial acceleration of the car is 6.26m/s2_.

Explanation of Solution

Write the expression for the radial acceleration.

    ar=v2r        (V)

Here, ar is the radial acceleration.

Conclusion:

Substitute 17.7m/s for v, 50.0m for r in equation (V) to find ar.

    ar=(17.7m/s2)250.0m=6.26m/s2

Therefore, the radial acceleration of the car is 6.26m/s2_.

(c)

To determine

The total acceleration of the car.

(c)

Expert Solution
Check Mark

Answer to Problem 49P

The total acceleration of the car is 6.57m/s2_.

Explanation of Solution

Write the expression for the total acceleration.

    a=aT(i^)+ar(j^)        (VI)

Here, a is the total acceleration.

Write the expression for the magnitude of a.

    a=aT2+ar2        (VII)

Conclusion:

Substitute 2.00m/s2 for aT, 6.26m/s2 for ar in equation (VII) to find a.

    a=(2.00m/s2)2+(6.26m/s2)2=6.57m/s2

Therefore, the total acceleration of the car is 6.57m/s2_.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 5 Solutions

COLLEGE PHYSICS-CONNECT ACCESS

Ch. 5.4 - Prob. 5.8PPCh. 5.4 - Prob. 5.4CPCh. 5.4 - Prob. 5.9PPCh. 5.4 - Prob. 5.10PPCh. 5.5 - Prob. 5.5CPCh. 5.5 - Prob. 5.11PPCh. 5.5 - Prob. 5.12PPCh. 5.6 - Prob. 5.6CPCh. 5.6 - Prob. 5.13PPCh. 5.7 - Prob. 5.14PPCh. 5 - Prob. 1CQCh. 5 - Two children ride on a merry-go-round. One is 2 m...Ch. 5 - Explain why the orbital radius and the speed of a...Ch. 5 - In uniform circular motion, is the velocity...Ch. 5 - In uniform circular motion, the net force is...Ch. 5 - The speed of a satellite in circular orbit around...Ch. 5 - A flywheel (a massive disk) rotates with constant...Ch. 5 - Explain why the force of gravity due to Earth does...Ch. 5 - When a roller coaster takes a sharp turn to the...Ch. 5 - Is there anywhere on Earth where a bathroom scale...Ch. 5 - A physics teacher draws a cutaway view of a car...Ch. 5 - A bridal party is at a rehearsal dinner. The best...Ch. 5 - A leopard starts from rest at t = 0 and runs in a...Ch. 5 - What is the direction of the satellite’s...Ch. 5 - Questions 1–4: A satellite in orbit travels around...Ch. 5 - What is the direction of the satellite’s...Ch. 5 - An object moving in a circle at a constant speed...Ch. 5 - A spider sits on a DVD that is rotating at a...Ch. 5 - Two satellites are in orbit around Mars with the...Ch. 5 - Questions 8–9: A boy swings in a tire swing....Ch. 5 - Prob. 9MCQCh. 5 - Prob. 10MCQCh. 5 - Prob. 11MCQCh. 5 - Prob. 12MCQCh. 5 - Prob. 1PCh. 5 - Prob. 2PCh. 5 - Prob. 3PCh. 5 - Prob. 4PCh. 5 - Prob. 5PCh. 5 - Prob. 6PCh. 5 - Prob. 7PCh. 5 - Dung beetles are renowned for building large...Ch. 5 - Prob. 9PCh. 5 - Prob. 10PCh. 5 - Prob. 11PCh. 5 - Prob. 12PCh. 5 - Prob. 13PCh. 5 - Prob. 14PCh. 5 - Prob. 15PCh. 5 - Prob. 16PCh. 5 - Prob. 17PCh. 5 - Prob. 18PCh. 5 - A child’s toy has a 0.100 kg ball attached to two...Ch. 5 - Prob. 20PCh. 5 - Prob. 21PCh. 5 - A curve in a stretch of highway has radius 512 m....Ch. 5 - Prob. 23PCh. 5 - Prob. 24PCh. 5 - Prob. 25PCh. 5 - Prob. 26PCh. 5 - A car drives around a curve with radius 410 m at a...Ch. 5 - Prob. 28PCh. 5 - A road with a radius of 75.0 m is banked so that...Ch. 5 - Prob. 30PCh. 5 - Prob. 31PCh. 5 - Prob. 32PCh. 5 - Prob. 33PCh. 5 - Prob. 34PCh. 5 - Prob. 35PCh. 5 - Prob. 36PCh. 5 - Prob. 37PCh. 5 - Prob. 38PCh. 5 - Prob. 39PCh. 5 - Prob. 40PCh. 5 - Prob. 41PCh. 5 - Prob. 42PCh. 5 - Prob. 43PCh. 5 - Prob. 44PCh. 5 - Prob. 45PCh. 5 - Prob. 46PCh. 5 - Prob. 47PCh. 5 - Prob. 48PCh. 5 - Prob. 49PCh. 5 - Prob. 50PCh. 5 - Prob. 51PCh. 5 - Prob. 52PCh. 5 - Prob. 53PCh. 5 - Prob. 54PCh. 5 - Prob. 56PCh. 5 - Prob. 57PCh. 5 - Prob. 58PCh. 5 - Prob. 59PCh. 5 - Prob. 60PCh. 5 - A person of mass M stands on a bathroom scale...Ch. 5 - Prob. 62PCh. 5 - Prob. 63PCh. 5 - Prob. 64PCh. 5 - Prob. 65PCh. 5 - Prob. 66PCh. 5 - Prob. 67PCh. 5 - Prob. 68PCh. 5 - Prob. 70PCh. 5 - Prob. 71PCh. 5 - A jogger runs counterclockwise around a path of...Ch. 5 - Prob. 73PCh. 5 - Prob. 74PCh. 5 - Prob. 75PCh. 5 - Prob. 76PCh. 5 - Prob. 77PCh. 5 - Prob. 78PCh. 5 - Prob. 79PCh. 5 - Prob. 81PCh. 5 - Prob. 82PCh. 5 - Prob. 83PCh. 5 - Prob. 84PCh. 5 - Prob. 86PCh. 5 - Prob. 87PCh. 5 - In Chapter 19 we will see that a charged particle...Ch. 5 - Prob. 89PCh. 5 - Prob. 90PCh. 5 - Prob. 91PCh. 5 - Prob. 92PCh. 5 - Prob. 93PCh. 5 - Prob. 94P
Knowledge Booster
Background pattern image
Physics
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.
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Text book image
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
Text book image
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON
SIMPLE HARMONIC MOTION (Physics Animation); Author: EarthPen;https://www.youtube.com/watch?v=XjkUcJkGd3Y;License: Standard YouTube License, CC-BY