8) In a laboratory experiment (see figure) a 200g air track glider and a 400 g air track glider are pushed toward each other. From opposite ends of the track. The gliders have Velcro tabs on their fronts so that they will stick together when they Before: m, = 200 g m, = 400 g (v,), collide. The 400g glider is pushed with an initial speed of – 4.5m/s. The combined velocity after collision is – 0.5 m/s. a) Derive the equation for the initial velocity for After: 200 g glider? Assume momentum is conserved. m, + m, (v) * = -0.50 m/s 2 b) Compute the velocity of the 200 g glider?

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In a laboratory experiment, a 200g air track glider and a 400g air track glider are pushed toward each other from opposite ends of the track. The gliders have Velcro tabs on their fronts so that they will stick together when they collide. The 400g glider is pushed with an initial speed of \(-4.5\) m/s. The combined velocity after the collision is \(-0.5\) m/s.

a) Derive the equation for the initial velocity for the 200g glider. Assume momentum is conserved.

b) Compute the velocity of the 200g glider.

**Diagram Explanation:**

The diagram shows two phases:

- **Before Collision:** 
  - \(m_1 = 200 \, \text{g}\) glider moving with velocity \((v_{1x})_i\).
  - \(m_2 = 400 \, \text{g}\) glider moving with velocity \((v_{2x})_i = -4.5 \, \text{m/s}\).

- **After Collision:** 
  - The two gliders stick together, moving as one mass \((m_1 + m_2)\), with a combined velocity of \(-0.50 \, \text{m/s}\).
  
The experiment demonstrates the conservation of momentum in inelastic collisions.
Transcribed Image Text:In a laboratory experiment, a 200g air track glider and a 400g air track glider are pushed toward each other from opposite ends of the track. The gliders have Velcro tabs on their fronts so that they will stick together when they collide. The 400g glider is pushed with an initial speed of \(-4.5\) m/s. The combined velocity after the collision is \(-0.5\) m/s. a) Derive the equation for the initial velocity for the 200g glider. Assume momentum is conserved. b) Compute the velocity of the 200g glider. **Diagram Explanation:** The diagram shows two phases: - **Before Collision:** - \(m_1 = 200 \, \text{g}\) glider moving with velocity \((v_{1x})_i\). - \(m_2 = 400 \, \text{g}\) glider moving with velocity \((v_{2x})_i = -4.5 \, \text{m/s}\). - **After Collision:** - The two gliders stick together, moving as one mass \((m_1 + m_2)\), with a combined velocity of \(-0.50 \, \text{m/s}\). The experiment demonstrates the conservation of momentum in inelastic collisions.
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