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Get Full Access to College Physics - 1 Edition - Chapter 16 - Problem 44pe
Get Full Access to College Physics - 1 Edition - Chapter 16 - Problem 44pe

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# (a) How much will a spring that has a force constant of ISBN: 9781938168000 42

## Solution for problem 44PE Chapter 16

College Physics | 1st Edition

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Problem 44PE

Problem 44PE

(a) How much will a spring that has a force constant of 40.0 N/m be stretched by an object with a mass of 0.500 kg when hung motionless from the spring? (b) Calculate the decrease in gravitational potential energy of the 0.500-kg object when it descends this distance. (c) Part of this gravitational energy goes into the spring. Calculate the energy stored in the spring by this stretch, and compare it with the gravitational potential energy. Explain where the rest of the energy might go.

Step-by-Step Solution:
Step 1 of 3

Solution 44PE

PE el = 0.5(40.0 N/m)(0.1225 m)2

= 0.300 J

So, the spring has gained a potential energy of 0.300 J. From part (b) it was found that the potential energy decrease was 0.600 J and out of this, the system has regained 0.300 J energy as the potential energy of the spring. The rest of the 0.300 J has disappeared from the system. The difference in energy has come due to the presence of frictional forces. There is air resistance, friction between the joining part of mass and spring, generation of heat in spring as it stretches, and other dissipating forces causes the loss of 0.300 J from the system.

Step 2 of 3

Step 3 of 3

##### ISBN: 9781938168000

This textbook survival guide was created for the textbook: College Physics , edition: 1. The answer to “(a) How much will a spring that has a force constant of 40.0 N/m be stretched by an object with a mass of 0.500 kg when hung motionless from the spring? (b) Calculate the decrease in gravitational potential energy of the 0.500-kg object when it descends this distance. (c) Part of this gravitational energy goes into the spring. Calculate the energy stored in the spring by this stretch, and compare it with the gravitational potential energy. Explain where the rest of the energy might go.” is broken down into a number of easy to follow steps, and 85 words. College Physics was written by and is associated to the ISBN: 9781938168000. The full step-by-step solution to problem: 44PE from chapter: 16 was answered by , our top Physics solution expert on 07/07/17, 04:39PM. This full solution covers the following key subjects: Energy, spring, gravitational, Object, potential. This expansive textbook survival guide covers 34 chapters, and 3125 solutions. Since the solution to 44PE from 16 chapter was answered, more than 724 students have viewed the full step-by-step answer.

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