×
Log in to StudySoup

Forgot password? Reset password here

A little red wagon with mass 7.00 kg moves in a straight

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 27E Chapter 6

University Physics | 13th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

4 5 0 261 Reviews
26
2
Problem 27E

A little red wagon with mass 7.00 kg moves in a straight line on a frictionless horizontal surface. It has an initial speed of 4.00 m/s and then is pushed 3.0 m in the direction of the initial velocity by a force with a magnitude of 10.0 N. (a) Use the work–energy theorem to calculate the wagon’s final speed. (b) Calculate the acceleration produced by the force. Use this acceleration in the kinematic relationships of Chapter 2 to calculate the wagon’s final speed. Compare this result to that calculated in part (a).

Step-by-Step Solution:

Solution 27E Step 1: Data given Mass m = 7.00 kg Initial velocity vi= 4.00 m/s Distance travelled x = 3.00 m Force exerted F = 10.0 N We need to find the final speed of wagon wheel Let us find the work done The work done by the applied force over the 3.00 m distance It is obtained using W = Fx Substituting the values we get W = 10.0 N × 3.00 m W = 30.0 J Thus we have work done = 30.0 J As per the work energy relations We can write 2 2 W = 1/2 mv 1i2 mv f Substituting we get 2 2 30 J = 1/2 × 7.0 kg × (4 m/s) 1/2 × 7.0 kg × v f Rearranging and solving we get 2 v = 2(30J)+7.00 kg ×(4 m/s) 7.00 kg 2((30J)+7.00 kg ×(4 m/s) ) v = 7.00 kg v = 4.96 m/s Step 2: We need to find the acceleration produced by the force We know F = m × a Since we need to find acceleration We shall rearrange to get a = F/m Substituting values we get a = 10.0 N /7 kg 2 a = 1.43 m/s Thus we have acceleration as 1.43 m/s 2

Step 3 of 3

Chapter 6, Problem 27E is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

A little red wagon with mass 7.00 kg moves in a straight

×
Log in to StudySoup
Get Full Access to Physics - Textbook Survival Guide

Forgot password? Reset password here

Join StudySoup for FREE
Get Full Access to Physics - Textbook Survival Guide
Join with Email
Already have an account? Login here
Reset your password

I don't want to reset my password

Need an Account? Is not associated with an account
Sign up
We're here to help

Having trouble accessing your account? Let us help you, contact support at +1(510) 944-1054 or support@studysoup.com

Got it, thanks!
Password Reset Request Sent An email has been sent to the email address associated to your account. Follow the link in the email to reset your password. If you're having trouble finding our email please check your spam folder
Got it, thanks!
Already have an Account? Is already in use
Log in
Incorrect Password The password used to log in with this account is incorrect
Try Again

Forgot password? Reset it here