Sample Problem 1 The coefficient of static friction between a person's shoe and the ground is 0.70. Determine the maximum magnitude of acceleration of the 62 kg person, if he starts running on a horizontal surface from rest. Given: μ = 0.70; m = 62 kg s Required: a Analysis: Draw the FBD of the person (Figure 7). FN Figure 7 Fax In this case, the max force since the norm need to calculate F he mace of Foet=FF Solution: Fs = μg. (0. F = 42 Now calculate the m Fnet ma (62 kg) a FS 425 425 a 6.9 = Statement: The maxi 6.9 m/s². Practice 1. Two people start running from rest. The first person has a mass of 59 kg and is wearing dress shoes with a coefficient of static friction of 0.52. The other person is wearing running shoes with a coefficient of static friction of 0.66. (a) Calculate the maximum possible initial acceleration of the person wearing dress shoes. [ans: 5.1 m/s² [forward]] (h) Explain why we do not really need poreon whon finding the initial
Sample Problem 1 The coefficient of static friction between a person's shoe and the ground is 0.70. Determine the maximum magnitude of acceleration of the 62 kg person, if he starts running on a horizontal surface from rest. Given: μ = 0.70; m = 62 kg s Required: a Analysis: Draw the FBD of the person (Figure 7). FN Figure 7 Fax In this case, the max force since the norm need to calculate F he mace of Foet=FF Solution: Fs = μg. (0. F = 42 Now calculate the m Fnet ma (62 kg) a FS 425 425 a 6.9 = Statement: The maxi 6.9 m/s². Practice 1. Two people start running from rest. The first person has a mass of 59 kg and is wearing dress shoes with a coefficient of static friction of 0.52. The other person is wearing running shoes with a coefficient of static friction of 0.66. (a) Calculate the maximum possible initial acceleration of the person wearing dress shoes. [ans: 5.1 m/s² [forward]] (h) Explain why we do not really need poreon whon finding the initial
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)...
Related questions
Question
Do 1 question 1 on pratice please
![Sample Problem 1
The coefficient of static friction between a person's shoe
and the ground is 0.70. Determine the maximum magnitude
of acceleration of the 62 kg person, if he starts running on a
horizontal surface from rest.
Given: μ = 0.70; m = 62 kg
Required: a
Analysis: Draw the FBD of the person (Figure 7).
F₁
Figure 7
Fax
In this case, the maximum force of static friction is the net
force since the normal force and gravity cancel. First we
need to calculate F
Fnet = F F = μSFN
Solution: F= μSFN
Fμmg
- (0.70) (62 kg) (9.8 m/s²)
FS 425.3 N (two extra digits carried)
Now calculate the magnitude of the acceleration:
=
Fnet = FS
ma =
425.3N
(62 kg) a = 425.3 N
a = 6.9 m/s²
Statement: The maximum magnitude of the acceleration is
6.9 m/s².
Practice
1. Two people start running from rest. The first person has a mass of 59 kg and is wearing
dress shoes with a coefficient of static friction of 0.52. The other person is wearing
running shoes with a coefficient of static friction of 0.66.
(a) Calculate the maximum possible initial acceleration of the person wearing dress
shoes. [ans: 5.1 m/s²³ [forward]]
(b) Explain why we do not really need the mass of either person when finding the initial
maximum possible acceleration.
(c) Determine the ratio of the two accelerations and compare it to the ratio of the two
coefficients of friction. [ans: 0.79; they are equal](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbb34cbd8-1292-461f-8596-c9cf9db3fcf9%2Fc32e95b1-e5e2-4198-8e87-41bb3698d6a9%2Fhsx9qyr_processed.png&w=3840&q=75)
Transcribed Image Text:Sample Problem 1
The coefficient of static friction between a person's shoe
and the ground is 0.70. Determine the maximum magnitude
of acceleration of the 62 kg person, if he starts running on a
horizontal surface from rest.
Given: μ = 0.70; m = 62 kg
Required: a
Analysis: Draw the FBD of the person (Figure 7).
F₁
Figure 7
Fax
In this case, the maximum force of static friction is the net
force since the normal force and gravity cancel. First we
need to calculate F
Fnet = F F = μSFN
Solution: F= μSFN
Fμmg
- (0.70) (62 kg) (9.8 m/s²)
FS 425.3 N (two extra digits carried)
Now calculate the magnitude of the acceleration:
=
Fnet = FS
ma =
425.3N
(62 kg) a = 425.3 N
a = 6.9 m/s²
Statement: The maximum magnitude of the acceleration is
6.9 m/s².
Practice
1. Two people start running from rest. The first person has a mass of 59 kg and is wearing
dress shoes with a coefficient of static friction of 0.52. The other person is wearing
running shoes with a coefficient of static friction of 0.66.
(a) Calculate the maximum possible initial acceleration of the person wearing dress
shoes. [ans: 5.1 m/s²³ [forward]]
(b) Explain why we do not really need the mass of either person when finding the initial
maximum possible acceleration.
(c) Determine the ratio of the two accelerations and compare it to the ratio of the two
coefficients of friction. [ans: 0.79; they are equal
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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!
Trending now
This is a popular solution!
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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.Recommended textbooks for you
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![College Physics](https://www.bartleby.com/isbn_cover_images/9781305952300/9781305952300_smallCoverImage.gif)
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
![University Physics (14th Edition)](https://www.bartleby.com/isbn_cover_images/9780133969290/9780133969290_smallCoverImage.gif)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
![Introduction To Quantum Mechanics](https://www.bartleby.com/isbn_cover_images/9781107189638/9781107189638_smallCoverImage.jpg)
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
![Physics for Scientists and Engineers](https://www.bartleby.com/isbn_cover_images/9781337553278/9781337553278_smallCoverImage.gif)
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
![Lecture- Tutorials for Introductory Astronomy](https://www.bartleby.com/isbn_cover_images/9780321820464/9780321820464_smallCoverImage.gif)
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
![College Physics: A Strategic Approach (4th Editio…](https://www.bartleby.com/isbn_cover_images/9780134609034/9780134609034_smallCoverImage.gif)
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON