The Velcro is removed from the gliders, so the gliders bounce apart after the collision. The initial velocities are the same but now the 3 kg glider moves at 1.5 m/s to the left after the collision. a. What was the final velocity of the 2 kg glider after the collision? Give speed and direction.

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Chapter1: Units, Trigonometry. And Vectors
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Only number 3 A and B

**Text Transcription for Educational Website:**

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**3.** The Velcro is removed from the gliders, so the gliders bounce apart after the collision. The initial velocities are the same but now the 3 kg glider moves at 1.5 m/s to the left after the collision.

   **a.** What was the final velocity of the 2 kg glider after the collision? Give speed and direction.

   **b.** How much kinetic energy was lost during the collision?

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*Notes: There are no graphs or diagrams included in the text for further explanation.*
Transcribed Image Text:**Text Transcription for Educational Website:** --- **3.** The Velcro is removed from the gliders, so the gliders bounce apart after the collision. The initial velocities are the same but now the 3 kg glider moves at 1.5 m/s to the left after the collision. **a.** What was the final velocity of the 2 kg glider after the collision? Give speed and direction. **b.** How much kinetic energy was lost during the collision? --- *Notes: There are no graphs or diagrams included in the text for further explanation.*
**Problem 2: Glider Collision on an Air Track**

Two gliders are on a very long air track with negligible friction. The setup includes:

- A 3 kg glider located 2 meters from the left end of the track, moving at 2 m/s to the right.
- A 2 kg glider initially located 5 meters from the left end, moving at 6 m/s to the left.
- Springs with a spring constant \( k = 50 \, \text{N/m} \) are positioned at each end of the track.

**Diagram:**
The diagram depicts a linear track. On the left side, a spring is positioned at the very start (0 meters). A 3 kg glider is shown moving rightward with an arrow indicating its direction. Further to the right, there's a 2 kg glider moving leftward, also depicted with an arrow. On the right end, another spring is shown.

**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 2: Glider Collision on an Air Track** Two gliders are on a very long air track with negligible friction. The setup includes: - A 3 kg glider located 2 meters from the left end of the track, moving at 2 m/s to the right. - A 2 kg glider initially located 5 meters from the left end, moving at 6 m/s to the left. - Springs with a spring constant \( k = 50 \, \text{N/m} \) are positioned at each end of the track. **Diagram:** The diagram depicts a linear track. On the left side, a spring is positioned at the very start (0 meters). A 3 kg glider is shown moving rightward with an arrow indicating its direction. Further to the right, there's a 2 kg glider moving leftward, also depicted with an arrow. On the right end, another spring is shown. **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

m₁ = 3 kg

m₂ = 2 kg

v₁ = 1.5 ms⁻¹

v₂ = v ms⁻¹

P = mv

As there is no loss of momentum, since there is no resistence, hence momentum must remain conserved

m₁ v₁ = m₂ v₂

3× (1.5) /2 = v₂ 

v₂ = 2.25 ms⁻¹

The glider will move to right direction with velocity of 2.25 m/s.

 

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