UNIVERSITY PHYSICS UCI PKG
11th Edition
ISBN: 9781323575208
Author: YOUNG
Publisher: PEARSON C
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 8, Problem 8.26E
An atomic nucleus suddenly bursts apart (fissions) into two pieces. Piece A, of mass mA, travels off to the left with speed υA, Piece B, of mass mB, travels off to the right with speed υB. (a) Use conservation of momentum to solve for υB in terms of mA, mB, and υA. (b) Use the results of part (a) to show that KA/KB = mB/mA, where KA, and KB are the kinetic energies of the two pieces.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
An atomic nucleus suddenly bursts apart (fission) into two pieces. Piece A with mass mA travels to the left with a speed of vA. Piece B with mass mB travels to the right with speed vB. Show the velocity of piece B in terms of mA, mB and VA.
Solution:
Consider that the nucleus is not acted by an external force. Thus, momentum is conserved, so:
pBf + pAf = 0
Substituting the expression for momentum results to
mBv + mAv = 0
Deriving the expression for the velocity of piece B results to
An atomic nucleus suddenly bursts apart (fission) into two pieces. Piece A with mass mA travels to the left with a speed of vA. Piece B with mass mB travels to the right with speed vB. Show the velocity of piece B in terms of mA, mB and VA.
Solution:
Consider that the nucleus is not acted by an external force. Thus, momentum is conserved, so:
pBf + pAf = 0
Substituting the expression for momentum results to
mBv + mAv = 0
Deriving the expression for the velocity of piece B results to
v=(mA/m)vA
An atomic nucleus suddenly bursts apart (fission) into two pieces. Piece A with mass ma travels to the left with
Piece B with mass mg travels to the right with speed vB. Show the velocity of piece B in terms of
a speed of
VA.
ma, mB and VA.
Solution:
Consider that the nucleus is not acted by an external force. Thus, momentum is conserved, so:
PBf +
PAf
= 0
Substituting the expression for momentum results to
mBV
mAV
= 0
Deriving the expression for the velocity of piece B results to
V
=(mA/m
VA
Chapter 8 Solutions
UNIVERSITY PHYSICS UCI PKG
Ch. 8.1 - Rank the following situations according to the...Ch. 8.2 - A spring-loaded toy sits at rest on a horizontal,...Ch. 8.3 - For each situation, state whether the collision is...Ch. 8.4 - Prob. 8.4TYUCh. 8.5 - Will the center of mass in Fig. 8.32 continue on...Ch. 8.6 - (a) If a rocket in gravity-free outer space has...Ch. 8 - In splitting logs with a hammer and wedge, is a...Ch. 8 - Suppose you catch a baseball and then someone...Ch. 8 - When rain falls from the sky, what happens to its...Ch. 8 - A car has the same kinetic energy when it is...
Ch. 8 - A truck is accelerating as it speeds down the...Ch. 8 - (a) If the momentum of a single point object is...Ch. 8 - A woman holding a large rock stands on a...Ch. 8 - In Example 8.7 (Section 8.3), where the two...Ch. 8 - In a completely inelastic collision between two...Ch. 8 - Since for a particle the kinetic energy is given...Ch. 8 - In each of Examples 8.10, 8.11, and 8.12 (Section...Ch. 8 - A glass dropped on the floor is more likely to...Ch. 8 - In Fig. 8.23b, the kinetic energy of the Ping-Pong...Ch. 8 - A machine gun is fired at a steel plate. Is the...Ch. 8 - A net force of 4 N acts on an object initially at...Ch. 8 - A net force with x-component Fx acts on an object...Ch. 8 - A tennis player hits a tennis ball with a racket....Ch. 8 - Prob. 8.18DQCh. 8 - An egg is released from rest from the roof of a...Ch. 8 - A woman stands in the middle of a perfectly...Ch. 8 - At the highest point in its parabolic trajectory,...Ch. 8 - When an object breaks into two pieces (explosion,...Ch. 8 - An apple falls from a tree and feels no air...Ch. 8 - Two pieces of clay collide and stick together....Ch. 8 - Two objects of mass M and 5M are at rest on a...Ch. 8 - A very heavy SUV collides head-on with a very...Ch. 8 - (a) What is the magnitude of the momentum of a...Ch. 8 - In a certain track and field event, the shotput...Ch. 8 - Objects A, B, and C are moving as shown in Fig....Ch. 8 - Two vehicles are approaching an intersection. One...Ch. 8 - One 110-kg football lineman is running to the...Ch. 8 - BIO Biomechanics. The mass of a regulation tennis...Ch. 8 - Force of a Golf Swing. A 0.0450-kg golf ball...Ch. 8 - Force of a Baseball Swing. A baseball has mass...Ch. 8 - A 0.160-kg hockey puck is moving on an icy,...Ch. 8 - A bat strikes a 0.145-kg baseball. Just before...Ch. 8 - CALC At time t = 0 a 2150-kg rocket in outer space...Ch. 8 - BIO Bone Fracture. Experimental tests have shown...Ch. 8 - A 2.00-kg stone is sliding to the right on a...Ch. 8 - CALC Starting at t = 0, a horizontal net force F =...Ch. 8 - To warm up for a match, a tennis player hits the...Ch. 8 - A 68.5-kg astronaut is doing a repair in space on...Ch. 8 - The expanding gases that leave the muzzle of a...Ch. 8 - Two figure skaters, one weighing 625 N and the...Ch. 8 - BIO Animal Propulsion. Squids and octopuses propel...Ch. 8 - You are standing on a sheet of ice that covers the...Ch. 8 - On a frictionless. horizontal air table, puck A...Ch. 8 - When cars are equipped with flexible bumpers, they...Ch. 8 - Two identical 0.900-kg masses are pressed against...Ch. 8 - Block A in Fig. E8.24 has mass 1.00 kg, and block...Ch. 8 - A hunter on a frozen, essentially frictionless...Ch. 8 - An atomic nucleus suddenly bursts apart (fissions)...Ch. 8 - Two ice skaters. Daniel (mass 65.0 kg) and Rebecca...Ch. 8 - You are standing on a large sheet of frictionless...Ch. 8 - You (mass 55 kg) are riding a frictionless...Ch. 8 - An astronaut in space cannot use a conventional...Ch. 8 - Asteroid Collision. Two asteroids of equal mass in...Ch. 8 - Two skaters collide and grab on to each other on...Ch. 8 - A 15.0-kg fish swimming at 1.10 m/s suddenly...Ch. 8 - Two fun-loving otters are sliding toward each...Ch. 8 - Deep Impact Mission. In July 2005, NASAs Deep...Ch. 8 - A 1050-kg sports car is moving westbound at 15.0...Ch. 8 - On a very muddy football field, a 110-kg...Ch. 8 - Accident Analysis. Two cars collide at an...Ch. 8 - Jack (mass 55.0 kg) is sliding due east with speed...Ch. 8 - BIO Bird Defense. To protect their young in the...Ch. 8 - At the intersection of Texas Avenue and University...Ch. 8 - A 5.00-g bullet is fired horizontally into a...Ch. 8 - A Ballistic Pendulum. A 12.0-g rifle bullet is...Ch. 8 - Combining Conservation Laws. A 15.0-kg block is...Ch. 8 - CP A 0.800-kg ornament is hanging by a 1.50-m wire...Ch. 8 - A 0.150-kg glider is moving to the right with a...Ch. 8 - Blocks A (mass 2.00 kg) and B (mass 6.00 kg) move...Ch. 8 - A 10.0-g marble slides to the left at a speed of...Ch. 8 - Moderators. Canadian nuclear reactors use heavy...Ch. 8 - You are at the controls of a particle accelerator,...Ch. 8 - Three odd-shaped blocks of chocolate have the...Ch. 8 - Prob. 8.52ECh. 8 - Pluto and Charon. Plutos diameter is approximately...Ch. 8 - A 1200-kg SUV is moving along a straight highway...Ch. 8 - Prob. 8.55ECh. 8 - At one instant, the center of mass of a system of...Ch. 8 - In Example 8.14 (Section 8.5), Ramon pulls on the...Ch. 8 - CALC A system consists of two particles. At t = 0...Ch. 8 - CALC A radio-controlled model airplane has a...Ch. 8 - Prob. 8.60ECh. 8 - A 70-kg astronaut floating in space in a 110-kg...Ch. 8 - A small rocket burns 0.0500 kg of fuel per second,...Ch. 8 - Obviously, we can make rockets to go very fast,...Ch. 8 - A steel ball with mass 40.0 g is dropped from a...Ch. 8 - Just before it is struck by a racket, a tennis...Ch. 8 - Three identical pucks on a horizontal air table...Ch. 8 - Blocks A (mass 2.00 kg) and B (mass 10.00 kg, to...Ch. 8 - A railroad handcar is moving along straight,...Ch. 8 - Spheres A (mass 0.020 kg), B (mass 0.030 kg), and...Ch. 8 - You and your friends are doing physics experiments...Ch. 8 - CP An 8.00-kg block of wood sits at the edge of a...Ch. 8 - CP A small wooden block with mass 0.800 kg is...Ch. 8 - Combining Conservation Laws. A 5.00-kg chunk of...Ch. 8 - CP Block B (mass 4.00 kg) is at rest at the edge...Ch. 8 - Two blocks have a spring compressed between them,...Ch. 8 - Automobile Accident Analysis. You are called as an...Ch. 8 - Accident Analysis. A 1500-kg sedan goes through a...Ch. 8 - CP A 0.150-kg frame, when suspended from a coil...Ch. 8 - A rifle bullet with mass 8.00 g strikes and embeds...Ch. 8 - A Ricocheting Bullet. A 0.100-kg stone rests on a...Ch. 8 - Prob. 8.81PCh. 8 - Prob. 8.82PCh. 8 - A ball with mass M, moving horizontally at 4.00...Ch. 8 - PA 20.00-kg lead sphere is hanging from a hook by...Ch. 8 - A 4.00-g bullet, traveling horizontally with a...Ch. 8 - A 5.00-g bullet is shot through a 1.00-kg wood...Ch. 8 - CP In a shipping company distribution center, an...Ch. 8 - Neutron Decay. A neutron at rest decays (breaks...Ch. 8 - Antineutrino. In beta decay, a nucleus emits an...Ch. 8 - Jonathan and Jane are sitting in a sleigh that is...Ch. 8 - Friends Burt and Ernie stand at opposite ends of a...Ch. 8 - A 45.0-kg woman stands up in a 60.0-kg canoe 5.00...Ch. 8 - You are standing on a concrete slab that in turn...Ch. 8 - CP In a fireworks display, a rocket is launched...Ch. 8 - A 7.0-kg shell at rest explodes into two...Ch. 8 - CP A 20.0-kg projectile is fired at an angle of...Ch. 8 - CP A fireworks rocket is fired vertically upward....Ch. 8 - A 12.0-kg shell is launched at an angle of 55.0...Ch. 8 - CP An outlaw cuts loose a wagon with two boxes of...Ch. 8 - DATA A 2004 Prius with a 150-lb driver and no...Ch. 8 - DATA In your job in a police lab, you must design...Ch. 8 - DATA For the Texas Department of Public Safety,...Ch. 8 - CALC A Variable-Mass Raindrop. In a...Ch. 8 - Prob. 8.104CPCh. 8 - CALC Use the methods of Challenge Problem 8.104 to...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...Ch. 8 - BIO MOMENTUM AND THE ARCHERFISH. Archerfish are...
Additional Science Textbook Solutions
Find more solutions based on key concepts
22.50 CP Thomson’s Model of the Atom. Early in the 20th century, a leading model of the structure of the atom w...
University Physics (14th Edition)
Youre given two lenses with different diameters. Knowing nothing else, you can conclude that a. the larger lens...
Essential University Physics (3rd Edition)
A meter stick is suspended from a frictionless rod through a small hole at the 25-cm mark. Find the period of s...
Essential University Physics: Volume 1 (3rd Edition)
The pV-diagram of the Carnot cycle.
Sears And Zemansky's University Physics With Modern Physics
(II) A 180-km/h wind blowing over the flat roof of a house causes the roof to lift off the house. If the house ...
Physics for Scientists and Engineers with Modern Physics
Does the superposition principle hold for electric-field energy densities? That is, if you double the field str...
Essential University Physics: Volume 2 (3rd 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) Find the momentum of a asteroid heading towards Earth at 30.0 km/s. (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that at low velocities.)arrow_forwardAccording to special relativity, a particle of rest mass m0 accelerated in one dimension by a force F obeys the equation of motion dp/dt = F. Here p = m0v/(1 –v2/c2)1/2 is the relativistic momentum, which reduces to m0v for v2/c2 << 1. (a) For the case of constant F and initial conditions x(0) = 0 = v(0), find x(t) and v(t). (b) Sketch your result for v(t). (c) Suppose that F/m0 = 10 m/s2 ( ≈ g on Earth). How much time is required for the particle to reach half the speed of light and of 99% the speed of light?arrow_forwardA 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_forward
- An observer in a rocket moves toward a mirror at speed v relative to the reference frame labeled by S in Figure P1.30. The mirror is stationary with respect to S. A light pulse emitted by the rocket travels toward the mirror and is reflected back to the rocket. The front of the rocket is a distance d from the mirror (as measured by observers in S) at the moment the light pulse leaves the rocket. What is the total travel time of the pulse as measured by observers in (a) the S frame and (b) the front of the rocket? Figure P1.30arrow_forwardIn a frame at rest with respect to the billiard table, a billiard ball of mass m moving with speed v strikes another billiard ball of mass m at rest. The first ball comes to rest after the collision while the second ball takes off with speed v in the original direction of the motion of the first ball. This shows that momentum is conserved in this frame. (a) Now, describe the same collision from the perspective of a frame that is moving with speed v in the direction of the motion of the first ball. (b) Is the momentum conserved in this frame?arrow_forwardAn observer in a coasting spacecraft moves toward a mirror at speed v relative to the reference frame labeled S in Figure P39.85. The mirror is stationary with respect to S. A light pulse emitted by the spacecraft travels toward the mirror and is reflected back to the spacecraft. The spacecraft is a distance d from the mirror (as measured by observers in S) at the moment the light pulse leaves the spacecraft. What is the total travel time of the pulse as measured by observers in (a) the S frame and (b) the spacecraft?arrow_forward
- The Sun produces energy at a rate of 4.001026 W by the fusion of hydrogen. (a) How many kilograms of hydrogen undergo fusion each second? (b) If the Sun is 90.0% hydrogen and half of this can undergo fusion before the Sun changes character, how long could it produce energy at its current rate? (c) How many kilograms of mass is the Sun losing per second? (d) What fraction of its mass will it have lost in the time found in part (b)?arrow_forwardA rod of length L0 moving with a speed v along the horizontal direction makes an angle 0 with respect to the x axis. (a) Show that the length of the rod as measured by a stationary observer is L = L0[1 (v2/c2)cos2 0]1/2. (b) Show that the angle that the rod makes with the x axis is given by tan = tan 0. These results show that the rod is both contracted and rotated. (Take the lower end of the rod to be at the origin of the primed coordinate system.)arrow_forwardA particle has a momentum of magnitude 40.0 kg m/s and a kinetic energy of 3.40 102 J. a. What is the mass of the particle? b. What is the speed of the particle?arrow_forward
- Spacecraft I, containing students taking a physics exam, approaches the Earth with a speed of 0.600c (relative to the Earth), while spacecraft II, containing professors proctoring the exam, moves at 0.280c (relative to the Earth) directly toward the students. If the professors stop the exam after 50.0 min have passed on their clock, for what time interval does the exam last as measured by (a) the students and (b) an observer on the Earth?arrow_forwardAn atomic nucleus suddenly bursts apart (fission) into two pieces. Piece A with mass ma travels to the left with a speed of vA. Piece B with mass mg travels to the right with speed vg. Show the velocity of piece B in terms of ma, mg and VA. Solution: Consider that the nucleus is not acted by an external force. Thus, momentum is conserved, so: PBf + PAf = 0 Substituting the expression for momentum results to mBV mAV = 0 Deriving the expression for the velocity of piece B results to =(mA/m VAarrow_forwardAn atomic nucleus suddenly bursts apart (fission) into two pieces. Piece A with mass ma travels to the left with a speed of VA. Piece B with mass mg travels to the right with speed vg. Show the velocity of piece B in terms of ma, mg and VA. Solution: Consider that the nucleus is not acted by an external force. Thus, momentum is conserved, so: PBf + PAf = 0 Substituting the expression for momentum results to mgv mAV = 0 Deriving the expression for the velocity of piece B results to V =(ma/m VAarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningModern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningGlencoe Physics: Principles and Problems, Student...PhysicsISBN:9780078807213Author:Paul W. ZitzewitzPublisher:Glencoe/McGraw-HillClassical Dynamics of Particles and SystemsPhysicsISBN:9780534408961Author:Stephen T. Thornton, Jerry B. MarionPublisher: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, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
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: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Glencoe Physics: Principles and Problems, Student...
Physics
ISBN:9780078807213
Author:Paul W. Zitzewitz
Publisher:Glencoe/McGraw-Hill
Classical Dynamics of Particles and Systems
Physics
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Cengage Learning
Elastic and Inelastic Collisions; Author: Professor Dave Explains;https://www.youtube.com/watch?v=M2xnGcaaAi4;License: Standard YouTube License, CC-BY