include the sig figs | 25 of 25 return to as Part A How far must the spring be c
ID: 1787667 • Letter: I
Question
include the sig figs
| 25 of 25 return to as Part A How far must the spring be compressed for 180 J of potential energy to be stored in it? Express your answer to three significant figures and include the appropriate units. A spring of alue Units Part B You place the spring vertically with one end on the floor. You then lay a 1.60-kg book on top of the spring and release the book from rest Fifnd the maximum distance the spring will be compressed Express your answer to three significant figures and include the appropriate units. SubmitExplanation / Answer
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Energy Stored in a spring is U = 0.5 kx^2
k is spring constant
x is compression
so
180 = 0.5 * 900 * x^2
x^2 = 2* 180/900
x = 0.632 m or 63.2 cm
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part B:
total distance traveeled by the book
PE lost by the boom = m g d
PE = 1.6* 9.81 * d
PE gained = 0.5 k x^2
= 0.5* 900* x^2
thus 0.5 kx^2 = m g x
x = 2 mg /k
x = 2* 1.6 * 9.81/900
x = 0.0348 m
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