A neutron with mass my moving with velocity vo collides elastically and head-on with a target particle with mass m₂ that is at rest. After the collision, the neutron moves with velocity vifand the target particle moves with velocity v2f- (a) Consider collisions of the neutron (mass = 1.0 atomic mass units (amu)) with the following stationary target particles 1. an electron (mass = 5.49 x 104 amu) 2. a proton (mass = 1.00 amu) 3. the nucleus of a bismuth atom (mass = 209 amu) 4. the nucleus of a nitrogen atom (mass = 14.0 amu) Match collisions 1-3 above with one of the following head-on collisions that we discussed in lecture: • the collision between two identical billiard balls, one of the billiard balls initially at rest the collision between a ping pong ball and a bowling ball, the ping pong ball initially a rest • the collision between a ping pong ball and a bowling ball, the bowling ball initially at rest (b) Calculate the ratio of the neutron's final kinetic energy to its initial kinetic energy (Ke/Ki)neutron for each of the collisions in (a). (answer: electron: K/K;=0.998: proton: K/K;=0; bismuth: K+/K; = 0.981; nitrogen: K+K;= 0.751) (c) What percentage of the neutron's initial kinetic energy is transferred to each target particle? Hint: Calculate (K) target (Ki)neutron (answer: electron: 0.22%; proton: 100%; bismuth: 1.9%; nitrogen: 25%) (d) Each of the answers to parts (b) and (c) should add up to 100%. Do they?
A neutron with mass my moving with velocity vo collides elastically and head-on with a target particle with mass m₂ that is at rest. After the collision, the neutron moves with velocity vifand the target particle moves with velocity v2f- (a) Consider collisions of the neutron (mass = 1.0 atomic mass units (amu)) with the following stationary target particles 1. an electron (mass = 5.49 x 104 amu) 2. a proton (mass = 1.00 amu) 3. the nucleus of a bismuth atom (mass = 209 amu) 4. the nucleus of a nitrogen atom (mass = 14.0 amu) Match collisions 1-3 above with one of the following head-on collisions that we discussed in lecture: • the collision between two identical billiard balls, one of the billiard balls initially at rest the collision between a ping pong ball and a bowling ball, the ping pong ball initially a rest • the collision between a ping pong ball and a bowling ball, the bowling ball initially at rest (b) Calculate the ratio of the neutron's final kinetic energy to its initial kinetic energy (Ke/Ki)neutron for each of the collisions in (a). (answer: electron: K/K;=0.998: proton: K/K;=0; bismuth: K+/K; = 0.981; nitrogen: K+K;= 0.751) (c) What percentage of the neutron's initial kinetic energy is transferred to each target particle? Hint: Calculate (K) target (Ki)neutron (answer: electron: 0.22%; proton: 100%; bismuth: 1.9%; nitrogen: 25%) (d) Each of the answers to parts (b) and (c) should add up to 100%. Do they?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter11: Collisions
Section: Chapter Questions
Problem 50PQ: In a laboratory experiment, an electron with a kinetic energy of 50.5 keV is shot toward another...
Related questions
Question
![Head-on elastic collisions in one dimension
A neutron with mass m₁ moving with velocity vo collides elastically and head-on with a target
particle with mass me that is at rest. After the collision, the neutron moves with velocity vif and
the target particle moves with velocity v2f.
(a) Consider collisions of the neutron (mass = 1.0 atomic mass units (amu)) with the following
stationary target particles
1. an electron (mass = 5.49 x 10+4 amu)
2. a proton (mass = 1.00 amu)
3. the nucleus of a bismuth atom (mass = 209 amu)
4. the nucleus of a nitrogen atom (mass = 14.0 amu)
Match collisions 1-3 above with one of the following head-on collisions that we discussed in
lecture:
• the collision between two identical billiard balls, one of the billiard balls initially at rest
• the collision between a ping pong ball and a bowling ball, the ping pong ball initially at
rest
the collision between a ping pong ball and a bowling ball, the bowling ball initially at rest
(b) Calculate the ratio of the neutron's final kinetic energy to its initial kinetic energy (K/Ki)neutron
for each of the collisions in (a). (answer: electron: K/K₁=0.998; proton: K/K₁ = 0; bismuth: K+/Ki
= 0.981; nitrogen: K+/K; = 0.751)
(c) What percentage of the neutron's initial kinetic energy is transferred to each target particle?
Hint: Calculate (Kf)target (Ki)neutron.
(answer: electron: 0.22%; proton: 100%; bismuth: 1.9%; nitrogen: 25%)
(d) Each of the answers to parts (b) and (c) should add up to 100%. Do they?
K = ½ mv²
p = mv
vif = [(m1-m2) / (m1 + m2)]vo
v2f = [2m1/(m1 + m2)]vo](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F56cdda57-70a5-4d4f-8db2-c3e75050b484%2F122ba68a-8df8-49bc-b4e1-726ec04c8e4a%2Fuc5jku_processed.png&w=3840&q=75)
Transcribed Image Text:Head-on elastic collisions in one dimension
A neutron with mass m₁ moving with velocity vo collides elastically and head-on with a target
particle with mass me that is at rest. After the collision, the neutron moves with velocity vif and
the target particle moves with velocity v2f.
(a) Consider collisions of the neutron (mass = 1.0 atomic mass units (amu)) with the following
stationary target particles
1. an electron (mass = 5.49 x 10+4 amu)
2. a proton (mass = 1.00 amu)
3. the nucleus of a bismuth atom (mass = 209 amu)
4. the nucleus of a nitrogen atom (mass = 14.0 amu)
Match collisions 1-3 above with one of the following head-on collisions that we discussed in
lecture:
• the collision between two identical billiard balls, one of the billiard balls initially at rest
• the collision between a ping pong ball and a bowling ball, the ping pong ball initially at
rest
the collision between a ping pong ball and a bowling ball, the bowling ball initially at rest
(b) Calculate the ratio of the neutron's final kinetic energy to its initial kinetic energy (K/Ki)neutron
for each of the collisions in (a). (answer: electron: K/K₁=0.998; proton: K/K₁ = 0; bismuth: K+/Ki
= 0.981; nitrogen: K+/K; = 0.751)
(c) What percentage of the neutron's initial kinetic energy is transferred to each target particle?
Hint: Calculate (Kf)target (Ki)neutron.
(answer: electron: 0.22%; proton: 100%; bismuth: 1.9%; nitrogen: 25%)
(d) Each of the answers to parts (b) and (c) should add up to 100%. Do they?
K = ½ mv²
p = mv
vif = [(m1-m2) / (m1 + m2)]vo
v2f = [2m1/(m1 + m2)]vo
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 6 steps with 13 images
Knowledge Booster
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.Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Modern Physics
Physics
ISBN:
9781111794378
Author:
Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning
Modern Physics
Physics
ISBN:
9781111794378
Author:
Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:
Cengage Learning
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Principles of Physics: A Calculus-Based Text
Physics
ISBN:
9781133104261
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Physics for Scientists and Engineers with Modern …
Physics
ISBN:
9781337553292
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Classical Dynamics of Particles and Systems
Physics
ISBN:
9780534408961
Author:
Stephen T. Thornton, Jerry B. Marion
Publisher:
Cengage Learning