A 539 g air-track glider attached to a spring withspring constant 8.2 N/m is sit
ID: 1752608 • Letter: A
Question
A 539 g air-track glider attached to a spring withspring constant 8.2 N/m is sitting at rest on a frictionless airtrack. A 268 g glider is pushed toward it from the far end of thetrack at a speed of 109.7 cm/s. It collides with and sticks to the539 g glider. What is the amplitude of the subsequentoscillations?What is the period of the subsequentoscillations? A 539 g air-track glider attached to a spring withspring constant 8.2 N/m is sitting at rest on a frictionless airtrack. A 268 g glider is pushed toward it from the far end of thetrack at a speed of 109.7 cm/s. It collides with and sticks to the539 g glider. What is the amplitude of the subsequentoscillations?
What is the period of the subsequentoscillations?
Explanation / Answer
The KE of the second glider = E = (1/2)(.268)(1.0972)J This is the total energy of the combined oscillator which is alsogiven by (1/2)kA2. (1/2)kA2 = (1/2)(.268)(1.0972) Knowing k, you can solve for amplitude A. The period of oscillation T = 2(k/m) where m is the combined mass .539+.268 = .807 kg Hope this helps!