Chapter 36: Q.35 (page 1060)
What is the speed, as a fraction of c, of a particle whose momentum is mc?
Short Answer
Speed of particle is 0.707c.
Chapter 36: Q.35 (page 1060)
What is the speed, as a fraction of c, of a particle whose momentum is mc?
Speed of particle is 0.707c.
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Get started for freeA -long rocket train car is traveling from Los Angeles to New York at when a light at the center of the car flashes. When the light reaches the front of the car, it immediately rings a bell. Light reaching the back of the car immediately sounds a siren.
a. Are the bell and siren simultaneous events for a passenger seated in the car? If not, which occurs first and by how much time?
b. Are the bell and siren simultaneous events for a bicyclist waiting to cross the tracks? If not, which occurs first and by how much time?
At what speed, in would a moving clock lose role="math" localid="1649531760117" in day according to experimenters on the ground?
Hint: Use the binomial approximation.
The star Delta goes supernova. One year later and away, as measured by astronomers in the galaxy, star Epsilon explodes. Let the explosion of Delta be at role="math" localid="1649750409129" and. The explosions are observed by three spaceships cruising through the galaxy in the direction from Delta to Epsilon at velocities, , and . All three spaceships, each at the origin of its reference frame, happen to pass Delta as it explodes.
a. What are the times of the two explosions as measured by scientists on each of the three spaceships?
b. Does one spaceship find that the explosions are simultaneous? If so, which one?
c. Does one spaceship find that Epsilon explodes before Delta? If so, which one?
d. Do your answers to parts b and c violate the idea of causality? Explain.
Some particle accelerators allow protonsand antiprotonsto circulate at equal speeds in opposite directions in a device called a storage ring. The particle beams cross each other at various points to causecollisions. In one collision, the outcome is, where g represents a high-energy gamma-ray photon. The electron and positron are ejected from the collision atand the gamma-ray photon wavelengths are found to be. What were the proton and antiproton speeds, as a fraction of , prior to the collision?
A laboratory experiment shoots an electron to the left at . What is the electron’s speed, as a fraction of c, relative to a proton moving to the right at ?
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