2. Two gliders are on a very long air track with negligible friction. The 3 kg glider is initially located 2 meters from the left end of the track and moving at 2 m/s to the right. The 2 kg glider is initially 5 meters from the left end and is moving 6 m/s to the left. There are springs with k = 50 N/m at each end of the track. 3 kg 2 kg a. Where is the center of mass of the two-glider system initially located, measured from the left end of the track? b. The gliders are equipped with Velcro so they stick together after colliding, what will be their speed and direction (left/right) after the collision?

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Chapter1: Units, Trigonometry. And Vectors
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## Problem Statement

Two gliders are on a very long air track with negligible friction. The 3 kg glider is initially located 2 meters from the left end of the track and moving at 2 m/s to the right. The 2 kg glider is initially 5 meters from the left end and is moving 6 m/s to the left. There are springs with \( k = 50 \, \text{N/m} \) at each end of the track.

**Diagram Description:**
- The track is depicted as a horizontal line with a spring attached to each end.
- A 3 kg glider is shown moving to the right, starting at 2 meters from the left.
- A 2 kg glider is shown moving to the left, starting at 5 meters from the left.
- The springs are positioned on either end of the track.

### Questions

**a.** Where is the center of mass of the two-glider system initially located, measured from the left end of the track?

**b.** The gliders are equipped with Velcro so they stick together after colliding. What will be their speed and direction (left/right) after the collision?

**c.** The gliders eventually hit a spring. What is the maximum distance the gliders compress the spring?
Transcribed Image Text:## Problem Statement Two gliders are on a very long air track with negligible friction. The 3 kg glider is initially located 2 meters from the left end of the track and moving at 2 m/s to the right. The 2 kg glider is initially 5 meters from the left end and is moving 6 m/s to the left. There are springs with \( k = 50 \, \text{N/m} \) at each end of the track. **Diagram Description:** - The track is depicted as a horizontal line with a spring attached to each end. - A 3 kg glider is shown moving to the right, starting at 2 meters from the left. - A 2 kg glider is shown moving to the left, starting at 5 meters from the left. - The springs are positioned on either end of the track. ### Questions **a.** Where is the center of mass of the two-glider system initially located, measured from the left end of the track? **b.** The gliders are equipped with Velcro so they stick together after colliding. What will be their speed and direction (left/right) after the collision? **c.** The gliders eventually hit a spring. What is the maximum distance the gliders compress the spring?
Expert Solution
Step 1

Given:

Mass of gliders

 m1=3 kgm2= 2 kg

Consider the coordinate for the masses be x1 and x2 from left end.

Thus,

x1= 2 mx2=5 m

 

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