A particle with mass m has speed 0.649c relative to inertial frame S. The particle collides with an identical particle at rest relative to frame S. Relative to S and in terms of c, what is the speed of a frame S' in which the total momentum of these particles is zero? This frame is called the center of momentum frame.
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A particle with mass m has speed 0.649c relative to inertial frame S. The particle collides with an identical particle at rest relative to frame S. Relative to S and in terms of c, what is the speed of a frame S' in which the total momentum of these particles is zero? This frame is called the center of momentum frame.
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- Two rockets, A and B, approach the earth from opposite directions at speed 0.800c. The length of each rocket measured in its rest frame is 100 m. What is the length of rocket A as measured by the crew of rocket B?Suppose 5 rocketships are all traveling in â in some frame S. The speeds are: St (min) 100 B 0 0.25 0.5 0.75 0.99 7 1 How much time passes on the clocks inside each rocketship if 100 minutes elapse on the stationary rocketship?A certain type of elementary particle travels at a speed of 2.53 x 108 m/s relative to a lab. The average lifetime in the particle's rest frame is calculated to be 62.6 us. What will be the lifetime of the particle (in us) as measured by someone in the lab? (Use c = 2.9979 × 108 m/s)
- An experimenter has studied the decay of a K° particle in which it emits a 7° at 0.8c. One such K° particle passes the experimenter at 0.5c and decays, emitting a 7° in the original direction of motion. In the experimenter's frame, the speed of the T° is measured to be O 1.3c. O between c and 1.3c. between .5c and .8c. O between .8c and c..The space and time coordinates for two events as measured in a frame S are as follows: Event 1: x1=x0 , t1=x0/c Event 2: x2=2x0, t2=x0/2c a. There exists a frame in which these events occur at the same time. Find the velocity of this frame with respect to S. b. What is the value of t at which both events occur in the new frame?Rockets A and C move with velocities +0.85c and -0.75c with respect to B, who is at rest in this frame of reference. A rod in rocket A has length L. What is the length of the rod according to an observer in rocket C?
- Observers in reference frame S see an explosion located at x1=620 m. A second explosion occurs 6.0 micro-s later at x2=1500 m.In reference frame S', which is moving along the +x-axis at speed V, the explosions occur at the same point in space. What is the separation in time delta t' between the two explosions as measured in frame S'? Express your answer in microseconds (micro-s). delta t' = ? micro-s1) A rocket with a proper length of 2000 m moves at a speed of 0.85c directly away from an observer on Earth. An astronaut standing at the centre of the rocket fires two electrons at a speed of 0.95c through a vacuum pipe; one electron is aimed toward the front of the rocket, the other toward the rear. a) In the astronaut's frame, calculate the time interval between the electron reaching the front of the rocket and the other electron reaching the rear. b) In the Earth observer's frame, calculate: i) the length of the rocket ii) the speed of the electron moving toward the front of the rocket i) the speed of the electron moving toward the rear of the rocketA particle Q move from left to right at a speed of 0.85c. A second particle R moves from left to right at a speed of 0.8c, and a third particle S moves from right to left at speed -0.8c. Find: A)The speed of particle R relative to particle Q. B)The speed of particle S relative to particle Q.
- A person on Earth observes two rocket ships moving directly toward each other and colliding as shown in the figure below. At time t = 0 in the Earth frame, the Earth observer determines that rocket A, travelling to the right at vA = 0.80c, is at point a, and rocket B is at point b, travelling to the left at vB = 0.60c. According to the Earth observer they are separated by a distance l = 4.2 x 108 m as shown in the other figure. How much time will elapse in frame A from the time rocket A passes point auntil collision?A rocket measures 100 m long in its own frame (S') and is travelling at 0.995c relative to a frame S. At the tail of the rocket, a laser sends out a pulse of light which is reflected by a mirror at the nose of the rocket. (a) At what time after emission, measured in S', does the light pulse arrive back at the tail of the rocket? (b) At what time after emission, measured in S, does the light pulse arrive back at the tail of the rocket? (c) What is the spatial distance, measured in S, between the emis- sion of the pulse and its arrival back at the tail of the rocket? (d) At what time after emission, measured in S, does the light pulse hit the mirror? (e) What is the spatial distance, measured in S, between the emis- sion of the pulse and its hitting the mirror? (f) Can you conclude from your answers that the light pulse travelled at a different speed, as seen in S, on its way to the mirror than on the way back? If not, explain your results