In a linear collider, two particles travel toward each other from opposite directions before colliding. If, in the lab reference frame, an electron travels toward the collision point at 2/3 c and a positron travels at 3/4 c, at what speed does the electron travel toward the positron in the positron's reference frame?
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- 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..A spaceship approaching an asteroid at a speed of 0.77c launches a rocket forward with a speed of 0.27c relative to the spaceship. At what factor of the speed of light c is the rocket approaching the asteroid as measured by an astronaut on the asteroid?
- A particle is accelerated from 0.975c to 0.992c as measured in a laboratory reference frame. This is a change in speed of only 1.7% and the ratio of the velocities is 1.017 (as measured in the lab frame). What is the ratio of the particle momentum when moving at 0.992c as compared to when it was moving at 0.975c? This ratio should be expressed as a decimal number. P2 P₁An alarm clock is set to sound in 10.0 = h. Att 0, the clock is placed in a spaceship moving with a speed of 0.736 c (relative to Earth). What distance, as determined by an Earth observer, does the spaceship travel before the alarm clock sounds? (Hint: Keep track of your units!) answer in mThe muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a reference frame in which the muons are stationary, if the number of muons at t = 0 is N0, the number at time t is given by , where τ is the mean lifetime, equal to 2.2 ms. Suppose the muons move at a speed of 0.95 c and there are 5.0 × 104 muons at t = 0. (a) What is the observed lifetime of the muons? (b) How many muons remain after traveling a distance of 3.0 km?
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