Problem (3) A particle of mass M is at rest in the laboratory when it decays into three identical...
Please answer question (b) part (iii) (a) Particle A decays at rest into particles B and C, i.e., A + B +C. Find the (i) energies, (ii) the magnitudes of the 3-momenta, and (iii) the speeds of the outgoing particles in terms of the rest masses of the three particles. (b) Suppose now particle A moves in the x-direction with a momentum pa, and particle B is emitted at an angle a relative to the x-axis. -a (i) Use conservation...
2) A particle of mass m at rest in the Home frame decays into two particles of mass that move apart in opposite directions at the same speed. Let event A be the detection of one of the particles at a distance of 10 m from the original particle, and event B be the detection of the second particle at a distance of 20 m from the original particle. a) What is the speed of each of the decay particles,...
Use Conservation of Mass-Energy to determine how much kinetic energy is released when Radium-224 decays into Radon-220 and Helium-4 (an alpha particle). The relevant masses are mRa = 224.020186u, mRn = 220.011368u, and mHe = 4.002603u. Kinetic energy released: A Uranium-236 nucleus that is initially at rest has a mass of 2.9e-25 kg and is initially at rest. When it decays, it creates two fragments that fly off in opposite directions. Fragment #1 moves to the left at a velocity...
A team discovered an m-mass tetron, an 8-quark particle decaying into four identical muons in a symmetrical tetrahedral pattern. The tetron is stationary until it decays. The four daughter muons carry the same total energy and have a resting mass of 0.149M 1). M, determine the magnitude of the energy E and the momentum p0 meson. Conservation laws may at least partially apply to this problem. 2). suppose that the four muons of relativistic momentum decayed by the doppler are:...
9. Three particles A, B and C, each of mass m, are at rest on a smooth horizontal table at the vertices of an triangle of side 2a. The particle A is connected to particles B and C by light inextensible strings each of length 2a. The particle A is given of the table and in a direction perpendicular to the line joining B and C, so that both strings receive an Find equilateral impulse of magnitude mu, in the...
What is the rest mass of a particle with a relativistic momentum of 5.32 x 10^-19 kg*m/s and is moving at 0.75 c (c is the speed of light)?
3. A particle of rest mass m moving in the a direction at a speed of c/3 abruptly decays electromagnetically, yielding two photons. From the perspective of the home frame, the photon moving in the positive r direction is more energetic than the photon moving in the negative r direction - (a) Determine the energies and frequencies of both photons in the rest frame of the decaying particle. -(b) Using Lorentz transformations, determine the energies and frequencies of both photons...
(d) A particle of mass m is moving at a speed u and hits an identical particle that is siting at rest. What are their four-momenta in the center of mass frame (e) In the center of mass frame, the collision of the two particles in part (d) causes the particles to fuse and create a single particle with mass M »m (i.e. the two particle turn into one, the opposite of a decay) that is completely at rest in...
There is a (hypothetical) subatomic particle of mass 2.9e-28 kg at rest. It decays into a daughter subatomic particle of mass 1.1e-28 kg while emiting a photon. (Assume the speed of the daughter is lower than the speed of light.) Find the kinetic energy of the daughter particle. (In Joules) (i got the answer 1.49e-11 but this is not correct)
A particle has a rest mass of 6.95×10^-27 and a momentum of 4.73×10^−18 kg⋅m/s. Determine the total relativistic energy of the particle. E = ______________ J Find the ratio of the particle's relativistic kinetic energy to its rest energy. ?? rest = _________________