8. Two objects of mass m and 3m are moving toward each other on a level, frictionless surface. They collide and then move apart. Initial and final velocities are shown below: Vo 3m Initial velocities 0.2vo 1.4vo Vo m 3m Measured final velocities Which of the following statements is true: A) You must have made a measurement mistake, because momentum should have been conserved and isn't. B) Your measurements are consistent with a perfectly elastic collision C) Your measurements are consistent with a totally inelastic collison. D) Momentum isn't conserved in this experiment, but that is okay. E) Your measurements are consistent with a partially inelastic collison.

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**Educational Content: Analysis of Collisions**

**Problem 8:** Two objects of mass \(m\) and \(3m\) are moving toward each other on a level, frictionless surface. They collide and then move apart. Initial and final velocities are shown below:

1. **Initial Velocities Diagram:**
   - Object with mass \(m\) moving to the right with velocity \(v_0\).
   - Object with mass \(3m\) moving to the left with velocity \(v_0\).

2. **Measured Final Velocities Diagram:**
   - Object with mass \(m\) moving to the left with velocity \(1.4v_0\).
   - Object with mass \(3m\) moving to the left with velocity \(0.2v_0\).

**Question:** Which of the following statements is true?

A) You must have made a measurement mistake, because momentum should have been conserved and isn’t.

B) Your measurements are consistent with a perfectly elastic collision.

C) Your measurements are consistent with a totally inelastic collision.

D) Momentum isn’t conserved in this experiment, but that is okay.

E) Your measurements are consistent with a partially inelastic collision.

**Analysis of Options:**

- **Conservation of Momentum:** In any collision in a closed system, momentum should be conserved.
- **Elastic Collision:** Both momentum and kinetic energy are conserved.
- **Inelastic Collision:** Only momentum is conserved; kinetic energy is not fully conserved.

**Correct Answer:** Your measurements are consistent with a partially inelastic collision.

Explanation: During a partially inelastic collision, momentum is conserved, but some kinetic energy is lost. You can verify this by calculating the initial and final momentum and energy to see which statements align with these definitions.
Transcribed Image Text:**Educational Content: Analysis of Collisions** **Problem 8:** Two objects of mass \(m\) and \(3m\) are moving toward each other on a level, frictionless surface. They collide and then move apart. Initial and final velocities are shown below: 1. **Initial Velocities Diagram:** - Object with mass \(m\) moving to the right with velocity \(v_0\). - Object with mass \(3m\) moving to the left with velocity \(v_0\). 2. **Measured Final Velocities Diagram:** - Object with mass \(m\) moving to the left with velocity \(1.4v_0\). - Object with mass \(3m\) moving to the left with velocity \(0.2v_0\). **Question:** Which of the following statements is true? A) You must have made a measurement mistake, because momentum should have been conserved and isn’t. B) Your measurements are consistent with a perfectly elastic collision. C) Your measurements are consistent with a totally inelastic collision. D) Momentum isn’t conserved in this experiment, but that is okay. E) Your measurements are consistent with a partially inelastic collision. **Analysis of Options:** - **Conservation of Momentum:** In any collision in a closed system, momentum should be conserved. - **Elastic Collision:** Both momentum and kinetic energy are conserved. - **Inelastic Collision:** Only momentum is conserved; kinetic energy is not fully conserved. **Correct Answer:** Your measurements are consistent with a partially inelastic collision. Explanation: During a partially inelastic collision, momentum is conserved, but some kinetic energy is lost. You can verify this by calculating the initial and final momentum and energy to see which statements align with these definitions.
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