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and 433 m/s 2. Two particles of equal mass and the same initial speed collide in a completely inelastic collision. After the colli- sion, the two are found to move away together at half their initial speed. Find the angle between the initial velocities of the two particles. Answer: 120°

and 433 m/s 2. Two particles of equal mass and the same initial speed collide in a completely inelastic collision. After the colli- sion, the two are found to move away together at half their initial speed. Find the angle between the initial velocities of the two particles. Answer: 120°

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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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 2. Two particles of equal mass and the same initial speed collide in a completely inelastic collision. After the colli- sion, the two are found to move away together at half their initial speed. Find the angle between the initial velocities of the two particles. Answer: 120° 3. A railroad car weighing 32 tons and travelling at 5.0 ft/s overtakes another car weighing 24 tons and travelling at 3.0 ft/s in the same direction. If the cars couple together when they meet, find a) the speed of the cars after collision, and b) the loss of kinetic energy during the collision. c) If the collision is, though unlikely, completely elastic, find the speed of the cars after the collision. Answers: a) 4.1 ft/s b) 2332 ft -lbs c) 5.3 ft/s, 3.3 ft|s 4. An alpha particle of mass 4 u experiences an elastic head-on collision with a gold nucleus of mass 197 u initially at rest. What percentage of its original kinetic energy does the alpha particle lose? Answer: 7.8% loss 5. A 6.0 kg box sled is moving across frictionless ice at a speed of 9.0 m/s when a 12 kg package is dropped onto it from above. What is the new speed of the sled? Answer: 3.0 m/s 6. A barge of mass 1.50x10° kg is proceeding eastward on a lake at 6.2 m/s when it collides with a barge heading north. The second barge has mass 2.78×10 kg and was moving at 4.3 m/s before the collision. Just after the impact, the second barge is found to be moving in a direction 18° east of north with speed 5.1 m/s. There are no currents flowing in the lake. a) What are the speed and direction of motion of the first barge immediately after the collision? b) How much kinetic energy is lost in the collision? Answers: a) 3.4 m/s, 17°north of east
Transcribed Image Text: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 2. Two particles of equal mass and the same initial speed collide in a completely inelastic collision. After the colli- sion, the two are found to move away together at half their initial speed. Find the angle between the initial velocities of the two particles. Answer: 120° 3. A railroad car weighing 32 tons and travelling at 5.0 ft/s overtakes another car weighing 24 tons and travelling at 3.0 ft/s in the same direction. If the cars couple together when they meet, find a) the speed of the cars after collision, and b) the loss of kinetic energy during the collision. c) If the collision is, though unlikely, completely elastic, find the speed of the cars after the collision. Answers: a) 4.1 ft/s b) 2332 ft -lbs c) 5.3 ft/s, 3.3 ft|s 4. An alpha particle of mass 4 u experiences an elastic head-on collision with a gold nucleus of mass 197 u initially at rest. What percentage of its original kinetic energy does the alpha particle lose? Answer: 7.8% loss 5. A 6.0 kg box sled is moving across frictionless ice at a speed of 9.0 m/s when a 12 kg package is dropped onto it from above. What is the new speed of the sled? Answer: 3.0 m/s 6. A barge of mass 1.50x10° kg is proceeding eastward on a lake at 6.2 m/s when it collides with a barge heading north. The second barge has mass 2.78×10 kg and was moving at 4.3 m/s before the collision. Just after the impact, the second barge is found to be moving in a direction 18° east of north with speed 5.1 m/s. There are no currents flowing in the lake. a) What are the speed and direction of motion of the first barge immediately after the collision? b) How much kinetic energy is lost in the collision? Answers: a) 3.4 m/s, 17°north of east
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