What is the amplitude of the subsequent oscillations?

AI Thread Summary
The discussion revolves around a collision between two gliders on a frictionless air track, where a 425 g glider collides with a 375 g glider attached to a spring. The key calculations involve determining the amplitude of the subsequent oscillations using the formula .5(0.8)(0.51)² = .5(9.5)A². The user has successfully derived the amplitude and is now focused on calculating the period of oscillation. The period is calculated using the formula 2π * sqrt(m/k), resulting in a period of approximately 1.686 seconds. Overall, the thread highlights the application of conservation of momentum and harmonic motion principles in solving the problem.
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A 375 g air-track glider attached to a spring with spring constant 9.50 N/m is sitting at rest on a frictionless air track. A 425 g glider is pushed toward it from the far end of the track at a speed of 96.0 cm/s . It collides with and sticks to the 375 g glider.a)What is the amplitude of the subsequent oscillations?

b) What is there period?

What formulas should I use, I don't seem to be using the right one.
 
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i think i figured the first part out

.5(0.8)(0.51)² = .5(9.5)A²

and now i can get the second part

period = 2pi* sqrt(m/k) = 2pi * sqrt(0.8/9.5) = 1.686 s
 

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