1. A proton with a speed of 500 m/s collides elastically with another proton at rest. The projectile proton is scattered 60° from its initial trajectory. a) What is the direction of the target proton after the collision? b) What are the speeds of the two protons after the collision? Answers: a) 30 ° b) 250 m/s and 433 m/s

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Please solve 1A and 1B

### Educational Website Content

#### Physics Problems on Collisions

1. **Proton Collision**
   - A proton with a speed of 500 m/s collides elastically with another proton at rest. The moving proton is deflected by 60° from its original path.
     - a) Determine the direction of the target proton after the collision.
     - b) Calculate the speeds of both protons after the collision.
   - **Answers:**
     - a) 30°
     - b) 250 m/s and 433 m/s

2. **Inelastic Collision of Equal Masses**
   - Two particles of equal mass and the same initial speed collide in a completely inelastic manner. After the impact, they move together at half their initial speed. Find the angle between their initial velocities.
   - **Answer:** 120°

3. **Railroad Car Collision**
   - A 32-ton railroad car traveling at 5.0 ft/s overtakes a 24-ton car traveling at 3.0 ft/s in the same direction. Upon coupling, determine:
     - a) The speed of the cars post-collision.
     - b) The kinetic energy lost during the collision.
     - c) If an elastic collision occurs (though unlikely), find the speed of the cars post-collision.
   - **Answers:**
     - a) 4.1 ft/s
     - b) 2332 ft-lbs
     - c) 5.3 ft/s, 3.3 ft/s

4. **Alpha Particle Collision**
   - An alpha particle with a mass of 4 u collides elastically with a gold nucleus of mass 197 u at rest. What percentage of its initial kinetic energy does the alpha particle lose?
   - **Answer:** 7.8% loss

5. **Box Sled and Package Collision**
   - A 6.0 kg sled slides on frictionless ice at 9.0 m/s. A 12 kg package is dropped vertically onto it. What is the sled’s new speed?
   - **Answer:** 3.0 m/s

6. **Barge Collision**
   - A barge with mass 1.50 × 10⁵ kg moves eastward at 6.2 m/s and collides with a north-heading barge. The second barge (2.78 × 10⁵ kg) travels at
Transcribed Image Text:### Educational Website Content #### Physics Problems on Collisions 1. **Proton Collision** - A proton with a speed of 500 m/s collides elastically with another proton at rest. The moving proton is deflected by 60° from its original path. - a) Determine the direction of the target proton after the collision. - b) Calculate the speeds of both protons after the collision. - **Answers:** - a) 30° - b) 250 m/s and 433 m/s 2. **Inelastic Collision of Equal Masses** - Two particles of equal mass and the same initial speed collide in a completely inelastic manner. After the impact, they move together at half their initial speed. Find the angle between their initial velocities. - **Answer:** 120° 3. **Railroad Car Collision** - A 32-ton railroad car traveling at 5.0 ft/s overtakes a 24-ton car traveling at 3.0 ft/s in the same direction. Upon coupling, determine: - a) The speed of the cars post-collision. - b) The kinetic energy lost during the collision. - c) If an elastic collision occurs (though unlikely), find the speed of the cars post-collision. - **Answers:** - a) 4.1 ft/s - b) 2332 ft-lbs - c) 5.3 ft/s, 3.3 ft/s 4. **Alpha Particle Collision** - An alpha particle with a mass of 4 u collides elastically with a gold nucleus of mass 197 u at rest. What percentage of its initial kinetic energy does the alpha particle lose? - **Answer:** 7.8% loss 5. **Box Sled and Package Collision** - A 6.0 kg sled slides on frictionless ice at 9.0 m/s. A 12 kg package is dropped vertically onto it. What is the sled’s new speed? - **Answer:** 3.0 m/s 6. **Barge Collision** - A barge with mass 1.50 × 10⁵ kg moves eastward at 6.2 m/s and collides with a north-heading barge. The second barge (2.78 × 10⁵ kg) travels at
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