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# A spring of negligible mass has force constant k = 1600 ISBN: 9780321675460 31

## Solution for problem 19E Chapter 7

University Physics | 13th Edition

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Problem 19E

A spring of negligible mass has force constant k = 1600 N/m. (a) How far must the spring be compressed for 3.20 J of potential energy to be stored in it? (b) You place the spring vertically with one end on the floor. You then drop a 1.20-kg book onto it from a height of 0.800 m above the top of the spring. Find the maximum distance the spring will be compressed.

Step-by-Step Solution:

Solution 19E Step 1: a) potential energy of the spring, PE = 3.20 J Force constant of the spring, k = 1600 N/m 2 The equation for potential energy in terms of force constant, PE = ½ kx Where, x - change in length for the spring 2 So, we can write, 3.20 J = ½ × 1600 N/m × x 2 2 Rearranging, x = 3.20 J/ 800 N/m = 0.004 m Taking square roots on both sides, x = 0.063 m x = 6.3 cm The spring should be compressed for 6.3 cm to store 3.20 J of PE

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##### ISBN: 9780321675460

The full step-by-step solution to problem: 19E from chapter: 7 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. This full solution covers the following key subjects: spring, compressed, height, distance, Drop. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. University Physics was written by and is associated to the ISBN: 9780321675460. Since the solution to 19E from 7 chapter was answered, more than 509 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. The answer to “A spring of negligible mass has force constant k = 1600 N/m. (a) How far must the spring be compressed for 3.20 J of potential energy to be stored in it? (b) You place the spring vertically with one end on the floor. You then drop a 1.20-kg book onto it from a height of 0.800 m above the top of the spring. Find the maximum distance the spring will be compressed.” is broken down into a number of easy to follow steps, and 72 words.

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A spring of negligible mass has force constant k = 1600

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