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Physics / Sears and Zemansky's University Physics with Modern Physics 13 / Chapter 7 / Problem 7.19

Sears and Zemansky's University Physics with Modern Physics | 13th Edition | ISBN: 9780321696861 | Authors: Hugh D. Young; Roger A. Freedman; A. Lewis Ford

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A spring of negligible mass has force constant (a) How far

Chapter 7, Problem 7.19

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QUESTION:

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 0.80 m above the top of the spring. Find the maximum distance the spring will be compressed.

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QUESTION:

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 0.80 m above the top of the spring. Find the maximum distance the spring will be compressed.

ANSWER:

Step 1 of 5

(a) We know that the elastic potential energy is given by equation (7.9)

…. Equation 1

Solving for , we get

We know that the force constant is

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