f(x) in 6+ 5- 4- 2- -6 -5 -4 -3 -2 -1 1 3. 4 9. -1+ Use the graph above to answer the following question. Assume that the x axis is in seconds and the f (x) axis is in centimeters. If this is a mass of 1520 grams attached to a horizontal a spring, what is the spring constant?

Principles of Physics: A Calculus-Based Text
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ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 29P
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f(x)
6+
5+
4+
3-
2+
-6 -5 -4 -3 -2 -1 0
1 2 3 4 5 6
-1+
Use the graph above to answer the following question. Assume
that the x axis is in seconds and the f(x) axis is in centimeters. If
this is a mass of 1520 grams attached to a horizontal a spring,
what is the spring constant?
k =
%3D
unit
Transcribed Image Text:f(x) 6+ 5+ 4+ 3- 2+ -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1+ Use the graph above to answer the following question. Assume that the x axis is in seconds and the f(x) axis is in centimeters. If this is a mass of 1520 grams attached to a horizontal a spring, what is the spring constant? k = %3D unit
Expert Solution
Concept:

The spring constant k is related to angular frequency ω by, ω=km. Again angular frequency is written as ω=2πTwhere T is  period of oscillation (time taken to complete one cycle). Then, km=2πT

                    or,        k=m4π2T2

Given: Mass attached to spring m=1520 grams = 1.520 kg, From figure the time required to complete one cycle is T=5 s.

Required: Spring constant k.

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