A particle a travelling along the positive x-axis of frame S with speed 0.5c decays into two identical particles ,a=b+b ,both of which continue to travel on the x-axis.(a)Given that ma=2.5mb,find the speed of either b particle in the rest of frame of particle a.(b)By making the necessary transformation on the result of part(a),find the velocity of the two b particles in the original frame S.
A particle a travelling along the positive x-axis of frame S with speed 0.5c decays into...
Suppose a relativistic particle A with speed v relative to frame S decays into 2 particles B and C. One of these particles is found to be at rest in frame S. The rest masses of A, B and Care ma, me and mc respectively. (a) Expressing your answer in terms of ma, me and mc (and the speed of light c), what is the kinetic energy of the particle A? (b) Expressing your answer in terms of ma, me...
A particle moves along the x' axis of frame S' with velocity 0.34c. Frame S' moves with velocity 0.67c with respect to frame S. What is the speed of the particle with respect to frame S?
A reference frame S' moves with a constant speed v=0.800c along the x axis relative to a second reference frame S. A particle is observed from reference frame S' to be moving with velocity 0.400c (along the positive x' axis). What would be the velocity of the particle as measured by an observer in reference frame S?
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,...
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...
A particle is travelling along a 1D axis (s-axis) and it's velocity is given as a function of time as, v(t) 3t2-5 in m/s. The initial position of the particle is so 10 m, at time t 0 seconds a) Derive expressions for acceleration, a(t), and position, s(t), using the integral/derivative relationships for acceleration, velocity, and position as functions of time. b) Using your formulas from part a, calculate the velocity, acceleration, and position of the particle for every 1...
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...
Suppose in a reference frame S, two objects collide elastically. Particle 1 of mass m1 = 2m is initally at rest, and particle 2 of mass m2 = m is moving with an initial velocity of u2i = −0.75c (negative means moving in the −x direction). The two particles collide elastically. Using classical momentum and energy conservation, an observer in frame S calculates the velocities after collision to be u1f = −0.5c, u2f = 0.25c. (a) Verify that the kinetic...
Two particles are moving along the x axis. Particle 1 has a mass m1 and a velocity v1 = +4.5 m/s. Particle 2 has a mass m2 and a velocity v2 = -7.3 m/s. The velocity of the center of mass of these two particles is zero. In other words, the center of mass of the particles remains stationary, even though each particle is moving. Find the ratio m1/m2 of the masses of the particles.
A. A rocket is travelling in space with a speed of 0.6c away from the origin along the negative x-axis. A second rocket passes by the first. The second rocket has speed 0.6c, heading in a direction in the x-y plane at an angle of 40° above the positive x-axis. Find the magnitude and direction of the velocity of the second rocket as measured in the rest frame of the first rocket.