Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 9, Problem 31Q
In observations of nuclear β-decay, the electron and recoil nucleus often do not separate along the same line. Use conservation of momentum in two dimensions to explain why this implies the emission of at least one other particle in the disintegration.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Pls help ASAP on both pls i beg
In a dark matter direct detection experiment, a dark matter particle is supposed to directly
interact with the atoms in the detector, causing either a nucleus or an electron to recoil
after the collision has occurred. The dark matter particles in our galaxy should be moving at
non-relativistic speeds, so this scattering process can be described using the conservation of
momentum governed by Newton's laws without the need for quantum mechanics. One of
the most common target materials for these experiments is xenon. Your goal is to answer
the following question.
Assuming there is a dark matter particle with incident velocity v1 that will scatter from a
Xe-136 nucleus (with a mass of 136 amu) that was initially at rest as shown below. What is
the dark matter mass?
You should solve for the answer symbolically first. Then you will substitute in the values
shown below to get out an actual numerical value for the mass, in amu.
Dark Matter Particle
02
01
Өз
Xe nucleus
A neutron with mass m1 moving with velocity v0 collides elastically and head-on with a target particle with mass m2 that is at rest. After the collision, the neutron moves with velocity v1f and the target particle moves with velocity v2f.
Write the two equations that express conservation of momentum and conservation of kinetic energy for this collision.
Consider collisions of the neutron (mass = 1.0 atomic mass unit (amu)) with the following stationary target particles
an electron (mass =5 x 10-4 amu)
a proton (mass = 1.0 amu)
the nucleus of a carbon atom (mass = 12.0 amu)
the nucleus of a uranium atom (mass = 238 amu)
Match some of the collisions above with each of the following head-on collisions that we discussed in lecture:
the collision between two 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…
Chapter 9 Solutions
Physics for Scientists and Engineers with Modern Physics
Ch. 9.1 - Light carries momentum, so if a light beam strikes...Ch. 9.1 - Prob. 1BECh. 9.2 - A 50-kg child runs off a dock at 2.0 m/s...Ch. 9.2 - In Example 93, what result would you get if (a)...Ch. 9.2 - Return to the Chapter-Opening Questions, page 214,...Ch. 9.8 - Calculate the CM of the three people in Example...Ch. 9.8 - Prob. 1GECh. 9.9 - A woman stands up in a rowboat and walks from one...Ch. 9 - We claim that momentum is conserved. Yet most...Ch. 9 - Two blocks of mass m1, and m2 rest on a...
Ch. 9 - A light object and a heavy object have the same...Ch. 9 - When a person jumps from a tree to the ground,...Ch. 9 - Explain, on the basis of conservation of momentum,...Ch. 9 - Two children float motionlessly in a space...Ch. 9 - A truck going 15 km/h has a head-on collision with...Ch. 9 - If a falling ball were to make a perfectly elastic...Ch. 9 - Prob. 9QCh. 9 - It is said that in ancient times a rich man with a...Ch. 9 - The speed of a tennis ball on the return of a...Ch. 9 - Is it possible for an object to receive a larger...Ch. 9 - How could a force give zero impulse over a nonzero...Ch. 9 - In a collision between two cars, which would you...Ch. 9 - A superball is dropped from a height h onto a hard...Ch. 9 - Prob. 16QCh. 9 - At a hydroelectric power plant, water is directed...Ch. 9 - A squash hall hits a wall at a 45 angle as shown...Ch. 9 - Why can a batter hit a pitched baseball farther...Ch. 9 - Describe a collision in which all kinetic energy...Ch. 9 - Inelastic and elastic collisions are similar in...Ch. 9 - If a 20-passenger plane is not full, sometimes...Ch. 9 - Prob. 23QCh. 9 - Why is the CM of a 1-m length of pipe at its...Ch. 9 - Show on a diagram how your CM shifts when you move...Ch. 9 - Describe an analytic way of determining the CM of...Ch. 9 - Place yourself facing the edge of an open door....Ch. 9 - If only an external force can change the momentum...Ch. 9 - A rocket following a parabolic path through the...Ch. 9 - How can a rocket change direction when it is far...Ch. 9 - In observations of nuclear -decay, the electron...Ch. 9 - Bob and Jim decide to play tug-of-war on a...Ch. 9 - At a carnival game you try to knock over a heavy...Ch. 9 - (I) Calculate the force exerted on a rocket when...Ch. 9 - (I) A constant friction force of 25 N acts on a...Ch. 9 - (II) The momentum of a particle, in SI units, is...Ch. 9 - (II) The force on a panicle of mass m is given by...Ch. 9 - (II) A 145-g baseball, moving along the x axis...Ch. 9 - (II) A 0.145-kg baseball pitched horizontally at...Ch. 9 - (II) A rocket of total mass 3180 kg is traveling...Ch. 9 - (III) Air in a 120-km/h wind strikes head-on the...Ch. 9 - (I) A 7700-kg boxcar traveling 18 m/s strikes a...Ch. 9 - (I) A 9150-kg railroad car travels alone on a...Ch. 9 - (I) An atomic nucleus at rest decays radioactively...Ch. 9 - (I) A 130-kg tackler moving at 2.5 m/s meets...Ch. 9 - (II) A child in a boat throws a 5.70-kg package...Ch. 9 - (II) An atomic nucleus initially moving at 420 m/s...Ch. 9 - (II) An object at rest is suddenly broken apart...Ch. 9 - (II) A 22-g bullet traveling 210 m/s penetrates a...Ch. 9 - (II) A rocket of mass m traveling with speed v0...Ch. 9 - (II) The decay of a neutron into a proton, an...Ch. 9 - A mass mA = 2.0 kg, moving with velocity...Ch. 9 - (II) A 925-kg two-stage rocket is traveling at a...Ch. 9 - (III) A 224-kg projectile, fired with a speed of...Ch. 9 - (I) A 0.145-kg baseball pitched at 35.0 m/s is hit...Ch. 9 - (II) A golf ball of mass 0.045 kg is hit off the...Ch. 9 - (II) A 12-kg hammer strikes a nail at a velocity...Ch. 9 - (II) A tennis ball of mass m = 0.060 kg and speed...Ch. 9 - (II) A 130-kg astronaut (including space suit)...Ch. 9 - (II) Rain is falling at the rate of 5.0 cm/h and...Ch. 9 - (II) Suppose the force acting on a tennis hall...Ch. 9 - (II) With what impulse does a 0.50-kg newspaper...Ch. 9 - (II) The force on a bullet is given by the formula...Ch. 9 - (II) (a) A molecule of mass m and speed v strikes...Ch. 9 - (III) (a) Calclale the impulse experienced when a...Ch. 9 - (III) A scale is adjusted so that when a large,...Ch. 9 - (II) A 0.060-kg tennis ball, moving with a speed...Ch. 9 - (II) A 0.450-kg hockey puck, moving east with a...Ch. 9 - (II) A 0.280-kg croquet ball makes an elastic...Ch. 9 - (II) A hall of mass 0.220 kg that is moving with a...Ch. 9 - (II) A ball of mass m makes a head-on elastic...Ch. 9 - (II) Determine the fraction of kinetic energy lost...Ch. 9 - (II) Show that, in general, for any head-on...Ch. 9 - (III) A 3.0 kg block slides along a frictionless...Ch. 9 - (I) In a ballistic pendulum experiment, projectile...Ch. 9 - (II) (a) Derive a formula for the fraction of...Ch. 9 - (II) A 28-g rifle bullet traveling 210 m/s buries...Ch. 9 - (II) An internal explosion breaks an object,...Ch. 9 - (II) A 920-kg spoils car collides into the rear...Ch. 9 - (II) You drop a 12-g ball from a height of 1.5 m...Ch. 9 - (II) Car A hits car B (initially at rest and of...Ch. 9 - (II) A measure of inelasticity in a head-on...Ch. 9 - (II) A pendulum consists of a mass M hanging at...Ch. 9 - (II) A build of mass m = 0.0010 kg embeds itself...Ch. 9 - (II) A 144-g baseball moving 28.0 m/s strikes a...Ch. 9 - (II) A 6.0-kg object moving in the +x direction at...Ch. 9 - (II) Billiard ball A of mass mA = 0.120 kg moving...Ch. 9 - (II) A radioactive nucleus at rest decays into a...Ch. 9 - (II) Two billiard balls of equal mass move at...Ch. 9 - (II) An atomic nucleus of mass m traveling with...Ch. 9 - (II) A neutron collides elastically with a helium...Ch. 9 - (III) A neon atom (m = 20.0 u) makes a perfectly...Ch. 9 - (III) For an elastic collision between a...Ch. 9 - (III) Prove that in the elastic collision of two...Ch. 9 - (I) The CM of an empty 1250-kg car is 2.50 m...Ch. 9 - (I) The distance between a carbon atom (m = 12 u)...Ch. 9 - (II) Three cubes, of side l0,2l0, and 3l0 are...Ch. 9 - (II) A square uniform raft, 18 m by 18 m, of mass...Ch. 9 - (II) A uniform circular plate of radius 2R has a...Ch. 9 - (II) A uniform thin wire is bent into a semicircle...Ch. 9 - (II) Find the center of mass of the ammonia...Ch. 9 - (III) Determine the CM of a machine part that is a...Ch. 9 - (III) Determine the CM of a uniform pyramid that...Ch. 9 - (III) Determine the CM of a thin, uniform,...Ch. 9 - (II) Mass MA = 35 kg and mass MB = 25 kg. They...Ch. 9 - (II) The masses of the Earth and Moon are 5.98 ...Ch. 9 - (II) A mallet consists of a uniform cylindrical...Ch. 9 - (II) A 55-kg woman and a 72-kg man stand 10.0 m...Ch. 9 - (II) Suppose that in Example 918 (Fig. 932), mII =...Ch. 9 - (II) Two people, one of mass 85 kg and the other...Ch. 9 - (III) A 280-kg flatcar 25 m long is moving with a...Ch. 9 - (III) A huge balloon and its gondola, of mass M,...Ch. 9 - (II) A 3500-kg rocket is to be accelerated at 3.0...Ch. 9 - (II) Suppose the conveyor bell of Example 919 is...Ch. 9 - (II) The jet engine of an airplane takes in 120 kg...Ch. 9 - (II) A rocket traveling 1850 m/s away from the...Ch. 9 - (III) A sled filled with sand slides without...Ch. 9 - A novice pool player is faced with the corner...Ch. 9 - During a Chicago storm, winds can whip...Ch. 9 - A ball is dropped from a height of 1.50 m and...Ch. 9 - In order to convert a tough split in bowling, it...Ch. 9 - A gun fires a bullet vertically into a 1.40-kg...Ch. 9 - A hockey puck of mass 4 m has been rigged 10...Ch. 9 - For the completely inelastic collision of two...Ch. 9 - A 4800-kg open railroad car coasts along with a...Ch. 9 - Consider the railroad car of Problem 92, which is...Ch. 9 - Two blocks of mass mA and mB, resting on a...Ch. 9 - You have been hired as an expert witness in a...Ch. 9 - A meteor whose mass was about 2.0 108 kg struck...Ch. 9 - Two astronauts, one of mass 65 kg and the other 85...Ch. 9 - A 22-g bullet strikes and becomes embedded in a...Ch. 9 - Two balls, of masses mA = 45 g and mB = 65 g, are...Ch. 9 - A block of mass m = 2.20 kg slides down a 30.0...Ch. 9 - In Problem 100 (Fig. 953), what is the upper limit...Ch. 9 - After a completely inelastic collision between two...Ch. 9 - A 0.25-kg skeet (clay target) is fired at an angle...Ch. 9 - A massless spring with spring constant k is placed...Ch. 9 - The gravitational slingshot effect. Figure 955...Ch. 9 - Two bumper cars in an amusement park ride collide...Ch. 9 - In a physics lab, a cube slides down a...Ch. 9 - The space shuttle launches an 850-kg satellite by...Ch. 9 - You are the design engineer in charge of the...Ch. 9 - Astronomers estimate that a 2.0-km-wide asteroid...Ch. 9 - An astronaut of mass 210 kg including his suit and...Ch. 9 - An extrasolar planet can be detected by observing...Ch. 9 - Suppose two asteroids strike head on. Asteroid A...Ch. 9 - (III) A particle of mass mA traveling with speed...
Additional Science Textbook Solutions
Find more solutions based on key concepts
The charge per unit length on the thin semicircular wire shown below is . What is the electric force on die po...
University Physics Volume 2
18. (I) How much work must be done to stop a 925-kg car travelling at 95 km/h?
Physics: Principles with Applications
We can learn a lot about Earth’s early history by studying the Moon.
Life in the Universe (4th Edition)
8. Cells in the nervous system have a potential difference of 70 mV across the cell membrane separating the int...
College Physics: A Strategic Approach (3rd Edition)
28. As the earth mates, what is the speed of (a) a physics student in Miami. Florida. at latitude 26°, and (b) ...
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
The speed of the person sitting on the chair relative to the chair and relative to Earth.
Conceptual Physics (12th Edition)
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.Similar questions
- A particle of mass m moving along the x-axis with a velocity component +u collides head-on and sticks to a particle of mass m/3 moving along the x-axis with the velocity component −u. What is the mass M of the resulting particle?arrow_forwardGiven the following data for a fire extinguisher-toy wagon rocket experiment, calculate the average exhaust velocity of the gases expelled from the extinguisher. Starting from rest, the final velocity is 10.0 m/s. The total mass is initially 75.0 kg and is 70.0 kg after the extinguisher is fired.arrow_forwardA 2-kg object moving to the right with a speed of 4 m/s makes a head-on, elastic collision with a 1-kg object that is initially at rest. The velocity of the 1-kg object after the collision is (a) greater than 4 m/s, (b) less than 4 m/s, (c) equal to 4 m/s, (d) zero, or (e) impossible to say based on the information provided.arrow_forward
- A hockey puck of mass 150 g is sliding due east on a frictionless table with a speed of 10 m/s. Suddenly, a constant force of magnitude 5 N and direction due north is applied to the puck for 1.5 s. Find the north and east components of the momentum at the end of the 1.3-s interval.arrow_forwardA 2.0-g particle moving at 8.0 m/s makes a perfectly elastic head-on collision with a resting 1.0-g object. (a) Find the speed of each particle after the collision. (b) Find the speed of each particle after the collision if the stationary particle has a mass of 10 g. (c) Find the final kinetic energy of the incident 2.0-g particle in the situations described in parts (a) and (b). In which case does the incident particle lose more kinetic energy?arrow_forwardIn a laboratory experiment, an electron with a kinetic energy of 50.5 keV is shot toward another electron initially at rest (Fig. P11.50). (1 eV = 1.602 1019 J) The collision is elastic. The initially moving electron is deflected by the collision. a. Is it possible for the initially stationary electron to remain at rest after the collision? Explain. b. The initially moving electron is detected at an angle of 40.0 from its original path. What is the speed of each electron after the collision? FIGURE P11.50arrow_forward
- A 5 kg block moving along a frictionless surface at 2 m/s to the right collides with a 10 kg block moving to the left at 5 m/s. Determine their velocities after collision if a) they stick together after collision; b) the collision is elastic; and c) the collision is inelastic wherein the coefficient of restitution is 0.8. How much kinetic energy is lost in this particular collision?arrow_forwardA particle with mass mA is struck head-on by another particle with mass mB that isinitially moving at speed v0 . The collision is elastic.(a) What percentage of the original energy does each particle have after the collision?(b) For what values, if any, of the mass ratio mA /mB is the original kinetic energy sharedequally by the two particles after the collision?arrow_forwarda) A proton (p) of mass 1.43-u(unified atomic mass units) traveling with a speed 4.13 x 104 m/s of has an elastic head-on collision with a helium (He) nucleus (mHe = 4.00 u) initially at rest. What is the velocity of helium nucleus after the collision? (As mentioned in Chapter 1, 1 u = 1.66 x 10–27 kg but we won’t need this fact.) Assume the collision takes place in nearly empty space. b) A proton (p) of mass 2.48-u(unified atomic mass units) traveling with a speed 2.64 x 104 m/s of has an elastic head-on collision with a helium (He) nucleus (mHe = 4.00 u) initially at rest. What is the velocity of helium nucleus after the collision? (As mentioned in Chapter 1, 1 u = 1.66 x 10–27 kg but we won’t need this fact.) Assume the collision takes place in nearly empty space.arrow_forward
- (a) If the system's kinetic energy, as measured from the Earth reference frame, decreases by 20% because of the collision, what are the final velocities of the balls? (b) What change in internal energy has occurred? (c) An observer watches this collision from a reference frame moving at a velocity of 15 m/ s to the east relative to the Earth reference frame. What changes in kinetic energy does this observer measure?arrow_forwardMass A is initially moving with some unknown velocity in the +x-direction. Mass B is twice as massive as mass A and initially at rest. The two objects collide, and after the collision, they move together with a speed of 6 m/s in the +x-direction. (a) Is this collision elastic or inelastic? Explain. (b) Determine the initial velocity of mass A.arrow_forwardThe velocity of the 7m mass particle is Vî, and the m mass particle is at rest. After the collision, the angle between the velocity vector of the particle of mass m and the x-axis(î) is 30°. Find the angle between the velocity vector of the 7m mass particle after the collision and the x-axis(î). Hint is given in the figurearrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher:Cengage LearningCollege PhysicsPhysicsISBN:9781305952300Author:Raymond A. Serway, Chris VuillePublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningCollege PhysicsPhysicsISBN:9781938168000Author:Paul Peter Urone, Roger HinrichsPublisher:OpenStax CollegeUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
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
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
College Physics
Physics
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:OpenStax College
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
Elastic and Inelastic Collisions; Author: Professor Dave Explains;https://www.youtube.com/watch?v=M2xnGcaaAi4;License: Standard YouTube License, CC-BY