One end of a stretched ideal spring is attached to an airtrack and the other is

Question

One end of a stretched ideal spring is attached to an airtrack and the other is attached to a glider with a mass of 0.350kg . The glider is released and allowed to oscillate in SHM.

Part A

If the distance of the glider from the fixed end of the spring varies between 1.55m and 1.06 m, and the period of the oscillation is 2.15 s, find the force constant of the spring.

Express your answer with the appropriate units.

.245m

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Part B

Find the maximum speed of the glider.

Express your answer with the appropriate units.

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Part C

Find the magnitude of the maximum acceleration of the glider.

Express your answer with the appropriate units.

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.245m

Explanation / Answer

A)

time period T=2pi*sqrt(m/k)

===>

k=4*pi^2*(m/T^2)

=4*3.14^2*(0.35/2.15^2)

=2.98 N/m

or

K=3 N/m

B)

2A=1.55-1.06 m

A=0.245 m

now

Vmax=w*A

=(2pi/T)*A
=

(2*3.14/2.15)*0.245

=0.715 m/sec

C)

amax=w^2*A

=(2*3.14/2.15)^2*0.245

=2.1 m/sec^2

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