The final answer is
a) 0.120 m
b) 1.75 s
c) 0.57 Hz
Given,
Distance = 0.120 m
Time = 0.785 s
a)To solve the amplitude in this problem, initial displacement A=0.120m was displaced and released with zero initial speed.
The amplitude is the maximum displacement from equilibrium and it was maximum at the moment t=0.(∴The object goes from x=+A to x=-A and back to complete one cycle)
So the amplitude will be equal to the initial displacement A=0.120m
Therefore, the amplitude of the spring is 0.120m
b) movement from +A( max positive displacement) to -A (max negative displacement) took place during half the period of SHM
therefore interval by the spring will be,
0.785 s= T/2 ---> by further solving for T
T= 0.785 x 2
T=1.57 s
The period of the spring is 1.75 s
c) As we know that frequency is inversely proportional to the time period.
To find frequency of the spring:
f=1/T (∴T=1.75)
f=1/1.75
f=0.57Hz
Therefore, the frequency of the spring is 0.57 Hz with the time period of 1.75 s and amplitude 0.120 m.
To learn more about spring, refer: https://brainly.com/question/16966751
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