Modern Physics
3rd Edition
ISBN: 9781111794378
Author: Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Videos
Question
Chapter 2, Problem 30P
To determine
In perfectly inelastic collision of fast moving proton with the similar target particle, the energy available to create a product particle is given by
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
About 9 light years separate Earth from the closest star system. There is a rocket that we are sending. Let the speed of the exhaust be 1/64 the speed of light. Make the beginning fuel mass twice as large as the load. How how long will it take to arrive the star system if it takes 200 hours to burn off the whole rocket's fuel and the fuel tank is not evacuated from the rocket?
this is a dynamics question.
About 9 light years separate Earth from the closest star system. There is a rocket that we are sending. Let the speed of the exhaust be 1/64 the speed of light. Make the beginning fuel mass twice as large as the load. How how long will it take to arrive the star system if it takes 200 hours to burn off the whole rocket's fuel and the fuel tank is not evacuated from the rocket?
In 1977 the planet Alderaan, with a mass of 3 × 1024 kg, exploded. Assume it was initially at rest and experienced no external interactions.
Problem 3.1. If the planet blew apart into two pieces with 40% of its mass flying away in one piece at 4,000 km/s, what speed did the rest of the planet have relative to its original frame?
Problem 3.2. Consider instead that the planet instead blew apart into three pieces, with 30% of its mass flying away at 3, 000 km/s, and 20% of its mass flying away at 5, 000 km/s at an angle of 120o relative to the velocity direction of the first fragment. Draw a diagram of this situation. What velocity did the rest of the planet have? Report the direction by specifying its angle relative to the velocity direction of the first fragment.
Chapter 2 Solutions
Modern Physics
Ch. 2 - A particle is moving at a speed of less than c/2....Ch. 2 - Give a physical argument showing that it is...Ch. 2 - Prob. 3QCh. 2 - Prob. 4QCh. 2 - Prob. 5QCh. 2 - Prob. 6QCh. 2 - Prob. 8QCh. 2 - Prob. 9QCh. 2 - Calculate the momentum of a proton moving with a...Ch. 2 - Prob. 2P
Ch. 2 - Consider the relativistic form of Newtons second...Ch. 2 - A charged particle moves along a straight line in...Ch. 2 - Prob. 5PCh. 2 - Prob. 6PCh. 2 - Prob. 7PCh. 2 - A proton moves at a speed of 0.95c. Calculate its...Ch. 2 - An electron has a kinetic energy 5 times greater...Ch. 2 - Find the speed of a particle whose total energy is...Ch. 2 - A proton in a high-energy accelerator is given a...Ch. 2 - An electron has a speed of 0.75c. Find the speed...Ch. 2 - Protons in an accelerator at the Fermi National...Ch. 2 - How long will the Sun shine, Nellie? The Sun...Ch. 2 - Electrons in projection television sets are...Ch. 2 - Prob. 16PCh. 2 - Prob. 17PCh. 2 - Prob. 18PCh. 2 - Prob. 19PCh. 2 - Prob. 20PCh. 2 - An electron having kinetic energy K = 1.000 MeV...Ch. 2 - The K0 meson is an uncharged member of the...Ch. 2 - An unstable particle having a mass of 3.34 1027...Ch. 2 - As measured by observers in a reference frame S, a...Ch. 2 - An object having mass of 900 kg and traveling at a...Ch. 2 - Prob. 27PCh. 2 - Prob. 28PCh. 2 - Prob. 29PCh. 2 - Prob. 30PCh. 2 - A particle of mass m moving along the x-axis with...Ch. 2 - Prob. 32PCh. 2 - Energy reaches the upper atmosphere of the Earth...
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
- According 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_forward(a) What is the momentum of a 2000 kg satellite orbiting at 4.00 km/s? (b) Find the ratio of this momentum to the classical momentum. (Hint: Use the approximation that =1+(1/2)v2/c2 at low velocities.)arrow_forwardA muon has a rest mass energy of 105.7 MeV, and it decays into an electron and a massless particle. (a) If all the lost mass is converted into the electron's kinetic energy, find for the electron. (b) What is the electron's velocity?arrow_forward
- Give a physical argument showing that it is impossible to accelerate an object of mass m to the speed of light, even with a continuous force acting on it.arrow_forwardAn unstable particle with mass m = 3.34 1027 kg is initially at rest. The particle decays into two fragments that fly off along the x axis with velocity components u1 = 0.987c and u2 = 0.868c. From this information, we wish to determine the masses of fragments 1 and 2. (a) Is the initial system of the unstable particle, which becomes the system of the two fragments, isolated or nonisolated? (b) Based on your answer to part (a), what two analysis models are appropriate for this situation? (c) Find the values of for the two fragments after the decay. (d) Using one of the analysis models in part (b), find a relationship between the masses m1 and m2 of the fragments. (e) Using the second analysis model in part (b). find a second relationship between the masses m1 and m2. (f) Solve the relationships in parts (d) and (c) simultaneously for the masses m1 and m2.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_forward
- The truck in Figure P39.1 is moving at a speed of 10.0 m/s relative to the ground. The person on the truck throws a baseball in the backward direction at a speed of 20.0 m/s relative to the truck. What is the velocity of the baseball as measured by the observer on the ground? Figure P39.1arrow_forwardConsider the inelastic collision. Two lumps of matter are moving directly toward each other. Each lump has a mass of 0.500 kgand is moving at a speed of 0.910?. The two lumps collide and stick together. Answer the questions, keeping in mind that relativistic effects cannot be neglected in this case. What is the final speed ?f of the combined lump, expressed as a fraction of ?? ?f= ? What is the final mass ?f of the combined lump immediately after the collision, assuming that there has not yet been significant energy loss due to radiation or fragmentation? ?f=arrow_forwardOne of the many fundamental particles in nature is the muon μ. This particle acts very much like a "heavy electron." It has a mass of 106 MeV/c².compared to the electron's mass of just 0.511 MeV/c². (We are using E=mc² to obtain the mass in units of energy and the speed of light c). Unlike the electron, though, the muon has a finite lifetime, after which it decays into an electron and two very light particles called neutrinos (V). We'll ignore the neutrinos throughout this problem. If the muon is at rest, the characteristic time that it takes it to decay is about 2.2 μs (Tμ = 2.2 × 10 s). Most of the time, though, particles such as muons are not at rest and, if they are moving relativistically, their lifetimes are increased by time dilation. In this problem we will explore some of these relativistic effects. Figure Earth μ 27 Proton A stream of particles, often called cosmic rays, is constantly raining down on the earth from outer space. (Figure 1) Most cosmic-ray particles are…arrow_forward
- One of the many fundamental particles in nature is the muon μ. This particle acts very much like a "heavy electron." It has a mass of 106 MeV/c2, compared to the electron's mass of just 0.511 MeV/c2. (We are using E=mc2 to obtain the mass in units of energy and the speed of light c). Unlike the electron, though, the muon has a finite lifetime, after which it decays into an electron and two very light particles called neutrinos (ν). We'll ignore the neutrinos throughout this problem. If the muon is at rest, the characteristic time that it takes it to decay is about 2.2μs (τμ=2.2×10−6s). Most of the time, though, particles such as muons are not at rest and, if they are moving relativistically, their lifetimes are increased by time dilation. In this problem we will explore some of these relativistic effects. Part A: If a muon is traveling at 70% of the speed of light, how long does it take to decay in the observer's rest frame (i.e., what is the observed lifetime τμ of the muon)? Express…arrow_forwardcompared to the speed of light c. Then the relation between energy E and velocity v of the particles becomes: moc? VI- (v²/c²) E = with mo the mass of the particle at rest. Question: Now, we consider a proton accelerator where the protons have at a certain moment a velocity of half the speed of light. Using special equipment we transfer energy to the protons so that we (exactly) quadruplicate (4x) their energy. How fast are the protons going now? Use that the speed of light is 3.00 - 10°m/s and give your answer in 3 significant figures Solution: v = | m/sarrow_forwardSuppose two identical particles, each with identical masses and kinetic energies collide head-on. What is the kinetic energy of the other particle as measured from a reference frame where one particle is stationary?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
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
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...PhysicsISBN:9781305116399Author:Raymond A. Serway, John W. JewettPublisher: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
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Time Dilation - Einstein's Theory Of Relativity Explained!; Author: Science ABC;https://www.youtube.com/watch?v=yuD34tEpRFw;License: Standard YouTube License, CC-BY