show full work and solve all parts
show full work and solve all parts Problem 8 (momentum and energy in special relativity) (8...
Special Relativity A photon of energy E collides with a stationary particle of rest mass m0 and is absorbed. What is the velocity of the resulting composite particle? NOTE: I used consrvation of momentum: p(before) = p(after), therefore p/c (energy of photon) = gamma*m0*v and solved for v. Apparently this is incorrect????
answer this question with steps: 3. In special relativity, the kinetic energy of a particle of mass m and velocity v is given byKE=yme-me, where γ = 1/ and c is the speed of light. (a) (2 points) Find the first three non-zero terms of the Taylor series expansion of γ, in the non-relativistic limit u/c 1. Hint: You can expand in either v/c orv/c2 (b) (1 point) What is the first non-zero term for the kinetic energy KE in...
Problem (3) A particle of mass M is at rest in the laboratory when it decays into three identical particles, each of mass m. Two of the particles, labeled #1 and #2, have velocity magnitudes and perpendicular directions as shown, with e representing the speed of light. Please use conservation of relativistic momentum to compute the direction and speed, expressed in terms of c, of particle #3 with respect to the laboratory (a) (b) Please compute the ratio M/m. Problem...
PHYS101 21 . a) Write down expressions for the total energy, E, and the momentum, p, of a particle. Express your answers in terms of the rest mass, m, and velocity, u, of the particle. 4 marks) Using these expressions, show that E2-ap of the momentum. m2ct, where p Ipl is the magnitude (4 marks) b) A photon of frequency v is scattered trough 180° by an electron initially at rest in the laboratory. Show that the frequency of the...
-14 points SeiPsETo J0 The dimensions of the quantity kinetic energy, designated by K, are kg m2/s2. It can be written in terms of the momentum p and mass m as K =-. 2m (a) What are the units of momentum in terms of fundamental SI units? (Use the following as necessary: kg, m, and s.) (b) Force is meas sured in units of newtons, N, where 1 N 1 kg m/s2. What are the units of momentum p in...
K=p² The dimensions of the quantity kinetic energy, designated by K, are kg. m2/s2. It can be written in terms of the momentum p and mass m as che non (a) What are the units of momentum in terms of fundamental SI units? (Use the following as necessary: kg, m, and s.) [p] = (b) Force is measured in units of newtons, N, where 1 N = 1 kg m/s? What are the units of momentum p in terms of...
-31 1 Electrons have a rest mass of 9.1095x103"kg(0.511 MeV/c2) and an energy of 0.511 MeV million electron volts) when at rest. In a colliding beam experiment, a beam of electrons accelerated to a high speed is sent toward a beam of antielectrons (same mass as electrons) moving in the opposite direction at the same speed. a.) Experimenters hope to create the J/y particle that has a rest mass energy of 3097 MeV through one of these collisions. The J/y...
What is the de Broglie wavelength (in meters) of a neutron traveling at a speed of 0.92 c? Since the neutron's speed is close to the speed of light (c), Special Relativity must be used when calculating the linear momentum (p). The mass of the neutron is 1.675 x 10-27 kg. Suppose that an alpha particle (mαα = 6.646 x 10-27 kg) has a kinetic energy of 75 keV. What is the alpha particle's speed (v) (in terms of "c")?...
--Physics --PROBLEM #2 --Solution is provided but partially covered up. --Please show all steps clearly. --Will thumbs up. 2) Consider a head-on collision of the particle of mass M, moving with the velocity V and having kinetic energy E=MV2/2, with another particle of mass M1, staying at rest. Find the energy Ej transferred to the second particle in the course of the collision. Solution: From the conservation of both momentum and energy we have MV = MV'+M,V, and MV2 =...