Could someone explain to me the value of K or how it is solve for me to solve the table?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Could someone explain to me the value of K or how it is solve for me to solve the table? 

Mass on a Spring
The motion of a mass on a spring can be described as Simple Harmonic Motion (SHM) as shown in Fig
2, where the net force can be described by Hooke's law. We can now determine how to calculate the
periodic time and frequency of an oscillating mass (m).
Newton's second law gives the equation of motion:
=
d²x
mg – kx = ma = m
dt2
.(6)
-kx
The solution of this equation is:
mg
x = Asin(wt).
Hooke's Law:
.(7)
Forine=-kx
spring
Where, o is the angular velocity of the oscillatory motion and is given by:
Fig. 2
W =
.(8)
m
Then the periodic time of oscillation is given by T=2r/0
m
then,
T = 2n
Where T: is the periodic time, m: is the mass hanged on the spring and
k: is the spring constant.
3
0000
Transcribed Image Text:Mass on a Spring The motion of a mass on a spring can be described as Simple Harmonic Motion (SHM) as shown in Fig 2, where the net force can be described by Hooke's law. We can now determine how to calculate the periodic time and frequency of an oscillating mass (m). Newton's second law gives the equation of motion: = d²x mg – kx = ma = m dt2 .(6) -kx The solution of this equation is: mg x = Asin(wt). Hooke's Law: .(7) Forine=-kx spring Where, o is the angular velocity of the oscillatory motion and is given by: Fig. 2 W = .(8) m Then the periodic time of oscillation is given by T=2r/0 m then, T = 2n Where T: is the periodic time, m: is the mass hanged on the spring and k: is the spring constant. 3 0000
Table 2
(kg) | T(s)
T² (s³)
m
50
100
140
180
220
260
300
ng
Transcribed Image Text:Table 2 (kg) | T(s) T² (s³) m 50 100 140 180 220 260 300 ng
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