Solution Found!
A 500 g air-track glider attached to a spring with spring
Chapter 14, Problem 60P(choose chapter or problem)
A 500 g air-track glider attached to a spring with spring constant 10 N/m is sitting at rest on a frictionless air track. A 250 g glider is pushed toward it from the far end of the track at a speed of 120 cm/s. It collides with and sticks to the 500 g glider. What are the amplitude and period of the subsequent oscillations?
Questions & Answers
QUESTION:
A 500 g air-track glider attached to a spring with spring constant 10 N/m is sitting at rest on a frictionless air track. A 250 g glider is pushed toward it from the far end of the track at a speed of 120 cm/s. It collides with and sticks to the 500 g glider. What are the amplitude and period of the subsequent oscillations?
ANSWER:
Step 1 of 4
Our aim is to find the amplitude and the period of the oscillations of the collided gliders connected to a spring.
The mass of the glider \(1 \mathrm{~m}_{\mathrm{l}}=250 \mathrm{~g}=0.25 \mathrm{~kg}\)
The mass of the glider \(2 \mathrm{~m}_{2}=500 \mathrm{~g}=0.5 \mathrm{~kg}\)
The force (spring) constant \(\mathrm{k}=10 \mathrm{~N} / \mathrm{m}\)
The speed of the glider \(1 \mathrm{v}_{1}=120 \mathrm{~cm} / \mathrm{s}=1.2 \mathrm{~m} / \mathrm{s}\)
The speed of the glider \(2 \mathrm{v}_{2}=0\)