(1) Two objects, moving towards each other with speed v. collide head on, stick together, and then move on with speed 1/4 after the collision. (a) What is the ratio of the kinetic energy after the collision to the kinetic energy before the collision? (answer: 1/16) (b) What is the ratio of the mass of the more massive object to the mass of the less massive object? (answer: 5/3)

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Chapter1: Units, Trigonometry. And Vectors
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**Problem:**
Two objects, moving towards each other with speed \( v \), collide head-on, stick together, and then move on with speed \( v/4 \) after the collision.

**Questions:**

(a) What is the ratio of the kinetic energy after the collision to the kinetic energy before the collision?  
**Answer:** \( \frac{1}{16} \)

(b) What is the ratio of the mass of the more massive object to the mass of the less massive object?  
**Answer:** \( \frac{5}{3} \)
Transcribed Image Text:**Problem:** Two objects, moving towards each other with speed \( v \), collide head-on, stick together, and then move on with speed \( v/4 \) after the collision. **Questions:** (a) What is the ratio of the kinetic energy after the collision to the kinetic energy before the collision? **Answer:** \( \frac{1}{16} \) (b) What is the ratio of the mass of the more massive object to the mass of the less massive object? **Answer:** \( \frac{5}{3} \)
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