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°

Physics for Scientists and Engineers
10th Edition
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter9: Linear Momentum And Collisions
Section: Chapter Questions
Problem 47AP: A 0.500-kg sphere moving with a velocity expressed as (2.00i3.00j+1.00k)m/s strikes a second,...
icon
Related questions
Question

Please solve 2

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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Unit conversion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781938168000
Author:
Paul Peter Urone, Roger Hinrichs
Publisher:
OpenStax College
Principles of Physics: A Calculus-Based Text
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning