×
Log in to StudySoup
Get Full Access to University Physics - 13 Edition - Chapter 7 - Problem 14e
Join StudySoup for FREE
Get Full Access to University Physics - 13 Edition - Chapter 7 - Problem 14e

Already have an account? Login here
×
Reset your password

An ideal spring of negligible mass is 12.00 cm long when

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

Solution for problem 14E Chapter 7

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 1 277 Reviews
17
5
Problem 14E

An ideal spring of negligible mass is 12.00 cm long when nothing is attached to it. When you hang a 3.15-kg weight from it, you measure its length to be 13.40 cm. If you wanted to store 10.0 J of potential energy in this spring, what would be its ?total? length? Assume that it continues to obey Hooke’s law.

Step-by-Step Solution:
Step 1 of 3

Solution 14E Hooke’s law is given by F = kx, where k is the force constant of a spring and x is its elongation. When the 3.15 kg weight is hung from the spring, its length changes by x = 13.40 12.00 cm = 1.40 cm = 0.014 m Now, the force needed to extend the spring will be balanced by the weight of the object, So, mg = kx k = mg/x k = 3.15 × 9.8 N/0.014 m = 2205 N/m Now, the potential energy of a spring with force constant k and elongation x is given by, 1 2 P = k2 …..(1) Given that, P = 10.0 J From equation (1), 1 2 10.0 J = 2 × 2205 N/m × x x = 2205m 2 x = 0.009 m 2 x = 0.095 m x = 9.5 cm Initial length of the spring is = 12.00 cm Total length of the spring afterward = 12.00 + 9.5 cm = 21.5 cm Thus, the total length of the spring after the elongation is 21.5 cm.

Step 2 of 3

Chapter 7, Problem 14E is Solved
Step 3 of 3

Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The full step-by-step solution to problem: 14E from chapter: 7 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This textbook survival guide was created for the textbook: University Physics, edition: 13. University Physics was written by and is associated to the ISBN: 9780321675460. The answer to “An ideal spring of negligible mass is 12.00 cm long when nothing is attached to it. When you hang a 3.15-kg weight from it, you measure its length to be 13.40 cm. If you wanted to store 10.0 J of potential energy in this spring, what would be its ?total? length? Assume that it continues to obey Hooke’s law.” is broken down into a number of easy to follow steps, and 59 words. Since the solution to 14E from 7 chapter was answered, more than 1064 students have viewed the full step-by-step answer. This full solution covers the following key subjects: its, spring, length, long, hang. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

An ideal spring of negligible mass is 12.00 cm long when