Question

a 450 g air-track glider attached to a spring with spring constant 8.00 n/m is sitting at rest on a frictionless air track. a 450 g glider is pushed toward it from the far end of the track at a speed of 150 cm/s . it collides with and sticks to the 450 g glider. What are the amplitude and period of the subsequent oscillations?

Answer 1

The amplitude and period of the subsequent oscillations 112.5 m/s

First the law of conservation of momentum,

(m1 + m2)*vf  =  m1*(vi)1 + m2*(vi)2

m1 = 450g

vi1 = 0

m2 = 450g

vi2 = 150 cm/s

(450 + 150)*vf = 0 + 450* 150

600*vf  = 67500

vf  = 112.5 cm/s = 112.5 m/s

An indicator of a periodic variable's change over a single period is its amplitude. When measured against a standard value, a non-periodic signal's amplitude is its magnitude. Amplitude has several definitions, all of which (listed below) depend on how much the extreme values of the variable deviate from one another. The amplitude of a periodic function is occasionally referred to as the phase in older writings. Peak amplitude is frequently employed in audio system measurements, telecommunications tests, and other applications where the measurand is a signal that oscillates above and below a reference value but is not sinusoidal. The greatest absolute value of the signal is this if the reference is zero; the mean value of the reference.

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