Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 11, Problem 58PQ
(a)
To determine
The velocity of the third particle .
(b)
To determine
The increase in kinetic energy of the system after decay.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.0 ✕ 10−27 kg,moves in the positive y-direction with speed v1 = 5.2 ✕ 106 m/s.Another particle, of mass m2 = 9.0 ✕ 10−27 kg,moves in the positive x-direction with speed v2 = 3.0 ✕ 106 m/s.Find the magnitude and direction of the velocity of the third particle. (Assume that the +x-axis is to the right and the +y-axis is up along the page.)
An unstable nucleus of mass 1.7 ✕ 10−26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 1.8 ✕ 10−27 kg,moves in the positive y-direction with speed v1 = 5.4 ✕ 106 m/s. Another particle, of mass m2 = 9.0 ✕ 10−27 kg, moves in the positive x-direction with speed v2 = 3.2 ✕ 106 m/s. Find the magnitude and direction of the velocity of the third particle. Answer the following:
An unstable nucleus of mass 1.7 × 10–26 kg, initially at rest at the origin of a coordinate system, disintegrates into three particles. One particle, having a mass of m1 = 5.0 × 10–27 kg, moves in the positive y - direction with speed v1 = 6.0 × 106 m/s. Another particle, of mass m2 = 8.4 × 10–27 kg, moves in the positive x - direction with speed v2 = 4.0 × 106 m/s. Find the magnitude and direction of the velocity of the third particle.
Chapter 11 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 11.1 - Forensic Science Forensic science is the...Ch. 11.2 - Why does a coach instruct a gymnast to bend her...Ch. 11.3 - When two objects collide, the impulse exerted on...Ch. 11.3 - Prob. 11.4CECh. 11.5 - If a spacecraft is headed for the outer solar...Ch. 11.6 - The cue ball hits the eight-ball in a game of pool...Ch. 11 - When a spacecraft collides with a planet, it is...Ch. 11 - When a person feels that he is about to fall, he...Ch. 11 - A tall man walking at 1.25 m/s accidentally bumps...Ch. 11 - Prob. 4PQ
Ch. 11 - A basketball of mass m = 625 g rolls off the hoops...Ch. 11 - Prob. 6PQCh. 11 - Sven hits a baseball (m = 0.15 kg). He applies an...Ch. 11 - Prob. 8PQCh. 11 - Prob. 9PQCh. 11 - In a laboratory, a cart collides with a wall and...Ch. 11 - Prob. 11PQCh. 11 - A Show that Equation 11.4 (the impulsemomentum...Ch. 11 - A crate of mass M is initially at rest on a level,...Ch. 11 - Prob. 14PQCh. 11 - Two pucks in a laboratory are placed on an air...Ch. 11 - A truck collides with a small, empty parked car....Ch. 11 - Prob. 17PQCh. 11 - Prob. 18PQCh. 11 - A skater of mass m standing on ice throws a stone...Ch. 11 - A skater of mass 45.0 kg standing on ice throws a...Ch. 11 - Prob. 21PQCh. 11 - In a laboratory experiment, 1 a block of mass M is...Ch. 11 - Ezra (m = 25.0 kg) has a tire swing and wants to...Ch. 11 - A suspicious physics student watches a stunt...Ch. 11 - A 2.45-kg ball is shot into a 0.450-kg box that is...Ch. 11 - Prob. 26PQCh. 11 - Prob. 27PQCh. 11 - Prob. 28PQCh. 11 - A dart of mass m is fired at and sticks into a...Ch. 11 - A dart of mass m = 10.0 g is fired at and sticks...Ch. 11 - A bullet of mass m = 8.00 g is fired into and...Ch. 11 - Prob. 32PQCh. 11 - A bullet of mass m is fired into a ballistic...Ch. 11 - Prob. 34PQCh. 11 - One object (m1 = 0.200 kg) is moving to the right...Ch. 11 - Prob. 36PQCh. 11 - Prob. 37PQCh. 11 - Prob. 38PQCh. 11 - Two objects collide head-on (Fig. P11.39). The...Ch. 11 - Initially, ball 1 rests on an incline of height h,...Ch. 11 - Initially, ball 1 rests on an incline of height h,...Ch. 11 - In an attempt to produce exotic new particles, a...Ch. 11 - Pendulum bob 1 has mass m1. It is displaced to...Ch. 11 - Prob. 44PQCh. 11 - Prob. 45PQCh. 11 - Prob. 46PQCh. 11 - Prob. 47PQCh. 11 - Prob. 48PQCh. 11 - Two skateboarders, with masses m1 = 75.0 kg and m2...Ch. 11 - In a laboratory experiment, an electron with a...Ch. 11 - In Figure P11.51, a cue ball is shot toward the...Ch. 11 - A proton with an initial speed of 2.00 108 m/s in...Ch. 11 - A football player of mass 95 kg is running at a...Ch. 11 - Two bumper cars at the county fair are sliding...Ch. 11 - Two bumper cars at the county fair are sliding...Ch. 11 - Prob. 56PQCh. 11 - N A bomb explodes into three pieces A, B, and C of...Ch. 11 - Prob. 58PQCh. 11 - An object of mass m = 4.00 kg that is moving with...Ch. 11 - A wooden block of mass M is initially at rest at...Ch. 11 - Prob. 61PQCh. 11 - Prob. 62PQCh. 11 - In an experiment designed to determine the...Ch. 11 - From what might be a possible scene in the comic...Ch. 11 - Prob. 65PQCh. 11 - Two pucks in a laboratory are placed on an air...Ch. 11 - Assume the pucks in Figure P11.66 stick together...Ch. 11 - Prob. 68PQCh. 11 - Prob. 69PQCh. 11 - A ball of mass 50.0 g is dropped from a height of...Ch. 11 - Prob. 71PQCh. 11 - A pendulum consists of a wooden bob of mass M...Ch. 11 - Three runaway train cars are moving on a...Ch. 11 - Prob. 74PQCh. 11 - Rutherford fired a beam of alpha particles (helium...Ch. 11 - Prob. 76PQCh. 11 - Prob. 77PQCh. 11 - February 3, 2009, was a very snowy day along...Ch. 11 - A cart filled with sand rolls at a speed of 1.0...Ch. 11 - Prob. 80PQCh. 11 - Prob. 81PQCh. 11 - Prob. 82PQCh. 11 - Prob. 83PQCh. 11 - Prob. 84PQ
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_forwardThe momentum of an object is increased by a factor of 4 in magnitude. By what factor is its kinetic energy changed? (a) 16 (b) 8 (c) 4 (d) 2 (e) 1arrow_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
- A rocket has total mass Mi = 360 kg, including Mfuel = 330 kg of fuel and oxidizer. In interstellar space, it starts from rest at the position x = 0, turns on its engine at time t = 0, and puts out exhaust with relative speed ve = 1 500 m/s at the constant rate k = 2.50 kg/s. The fuel will last for a burn time of Tb = Mfuel/k = 330 kg/(2.5 kg/s) = 132 s. (a) Show that during the burn the velocity of the rocket as a function of time is given by v(t)=veln(1ktMi) (b) Make a graph of the velocity of the rocket as a function of time for times running from 0 to 132 s. (c) Show that the acceleration of the rocket is a(t)=kveMikt (d) Graph the acceleration as a function of time. (c) Show that the position of the rocket is x(t)=ve(Mikt)ln(1ktMi)+vet (f) Graph the position during the burn as a function of time.arrow_forwardThe kinetic energy of an object is increased by a factor of 4. By what factor is the magnitude of its momentum changed? (a) 16 (b) 8 (c) 4 (d) 2 (e) 1arrow_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
- One object (m1 = 0.200 kg) is moving to the right with a speed of 2.00 m/s when it is struck from behind by another object (m2 = 0.300 kg) that is moving to the right at 6.00 m/s. If friction is negligible and the collision between these objects is elastic, find the final velocity of each.arrow_forwardA 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_forwardFrom what might be a possible scene in the comic book The X-Men, the Juggernaut (mJ) is charging into Colossus (mC) and the two collide. The initial speed of the Juggernaut is vJi and the initial speed of Colossus is vCi. After the collision, the final speed of the Juggernaut is vJf and the final speed of Colossus is vCf as they each bounce off of the other, heading in opposite directions. a. What is the impulse experienced by the Juggernaut? b. What is the impulse experienced by Colossus? c. In your own words, explain how these impulses must compare with each other and how they are related to the average force each superhero experiences during the collision.arrow_forward
- A mother pushes her son in a stroller at a constant speed of 1.52 m/s. The boy tosses a 56.7-g tennis ball straight up at 1.75 m/s and catches it. The boys father sits on a bench and watches. a. According to the mother, what are the balls initial and final momenta? b. According to the father, what are the balls initial and final momenta? c. According to the mother, is the balls momentum ever zero? If so, when? If not, why not? d. According to the father, is the balls momentum ever zero? If so, when? If not, why not?arrow_forwardA space probe, initially at rest, undergoes an internal mechanical malfunction and breaks into three pieces. One piece of mass ml = 48.0 kg travels in the positive x-direction at 12.0 m/s, and a second piece of mass m2 = 62.0 kg travels in the xy-plane at an angle of 105 at 15.0 m/s. The third piece has mass m3 = 112 kg. (a) Sketch a diagram of the situation, labeling the different masses and their velocities, (b) Write the general expression for conservation of momentum in the x- and y-directions in terms of m1, m2, m3, v1, v2 and v3 and the sines and cosines of the angles, taking to be the unknown angle, (c) Calculate the final x-components of the momenta of m1 and m2. (d) Calculate the final y-components of the momenta of m1 and m2. (e) Substitute the known momentum components into the general equations of momentum for the x- and y-directions, along with the known mass m3. (f) Solve the two momentum equations for v3 cos and v3 sin , respectively, and use the identity cos2 + sin2 = 1 to obtain v3. (g) Divide the equation for v3 sin by that for v3 cos to obtain tan , then obtain the angle by taking the inverse tangent of both sides, (h) In general, would three such pieces necessarily have to move in the same plane? Why?arrow_forwardIn the figure, the incoming mass (m₁) is an alpha particle, with mass of 4.00 atomic mass units (4.00 amu). Target particle (m₂) is a carbon nucleus (m₂ = 12.0 amu). The alpha particle is scattered at an angle 0₁ = 56 degrees and the carbon nucleus moves off with a speed of 1.24 x 105 m/s at an angle 0₂ = 46 degrees. What is the final speed of the alpha particle (V₁f)? Your answer should be in m/s. You can use notation such as 9.99e5, where "e5" stands for "x 105" captie Mal m₁ V₁i m₂ y V2f 0₂ 81 Vif Xarrow_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 Learning
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
University Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University
Physics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Classical 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: 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
University Physics Volume 1
Physics
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:OpenStax - Rice University
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
Momentum | Forces & Motion | Physics | FuseSchool; Author: FuseSchool - Global Education;https://www.youtube.com/watch?v=DxKelGugDa8;License: Standard YouTube License, CC-BY