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)
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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)"
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- A spaceship whose rest length is 490 m has a speed of 0.88c with respect to a certain reference frame. A micrometeorite, also with a speed of 0.88c in this frame, passes the spaceship on an antiparallel track. How long does it take this object to pass the spaceship as measured on the ship?TJ,CJ & DJ are working at a particle accelerator facility. In one experiment, they observe that particles A and B collide head on at relativistic speeds. If the velocity of A is 0.764c to the left, and the velocity of B is 0.324c to the right (both of these speeds are measured in Earth's rest frame), how fast are the particles moving with respect to each other?Consider a particle with total relativistic energy equal to 1.7 times its rest energy. The speed of the particle is v. What is v/c? OA: 0.5049 B: 0.5908 OC: 0.6912 OD: 0.8087 OE: 0.9462 OF: 1.1070 OG: 1.2952 OH: 1.5154
- A spaceship goes past a planet at a speed of 0.80c relative to the planet. An observer on the planet measures the length of the moving spaceship to be 40.0 m. The observer also finds that the planet has a diameter of 2.0 X 106 m. The astronaut in the spaceship determines the length of the ship. What is this length? The astronaut, while not in a position to actually measure the diameter of the planet, does succeed in computing a diameter indirectly. What is the resulting value?An alien spaceship travels at v=0.999c-299482km/s (where 'c' is the speed of light equal to 299782 km/s) past the International Space Station (ISS) which orbits the Earth. According to NASA, the ISS is approximately 109m long when they finished building it. What length would the alien spaceship measure? Just under 5m. Just over 200m. The same length, 109m. Just under 100m.A particle has a rest mass of 7.15×10−27 kg and a momentum of 5.75×10−18 kg·m/s. Determine the total relativistic energy ? of the particle. ?= J Find the ratio of the particle's relativistic kinetic energy ? to its rest energy ?rest. ??rest=
- A particle detector can be used to measure the speed of an unstable particle if the lifetime is known. Particle 'X' has mean lifetime 7 in its rest frame. Suppose 'X' particles are created in an experiment inside the detector by a nuclear reaction. If the 'X' particles leave tracks with mean length L before they decay into other particles, what is the mean speed of the 'X' particles? Express the answer in terms of the speed of light. T = 282.0 ps; L= 10.5 cm;A rocket travels along a line from the Sun to Saturn at a constant speed of 0.862c relative to the Sun. The distance from the Sun to Saturn is 1.43 x 1012 m, as measured by someone at rest with respect to the Sun. How long does the journey take (in minutes) as measured by an astronaut on the rocket? (Use c = 2.9979 × 108 m/s) minA particle has a lifetime, as measured in its own reference frame, of 2.86 µs. It propagates at a speed of 0.933c. How far does it go before disintegrating? Express your answer in meters and keep three significant digits.
- A subatomic particle moves through the laboratory at 0.90c. Laboratory experimenters measure its lifetime, from creation to annihilation, to be 2.3 ps (1 ps = 1 picosecond = 10-12 s). According to the particle, how long did it live?Question 24. Suppose a cosmic ray colliding with a nucleus in the Earth’s upper atmosphere produces a muon that has a velocity ?=0.950?. The muon then travels at constant velocity and lives 1.52?s as measured in the muon’s frame of reference. (You can imagine this as the muon’s internal clock.) a. How far does it travel as viewed by an observer moving with it? Base your calculation on its velocity relative to the Earth and the time it lives (proper time). b. What distance does the muon travel according to an Earth-bound observer? *for first part 0.433 km can you help with the second part?Electromagnetic radiation from a star is observed with an earth-based telescope. The star is moving away from the earth with a speed of 0.590c. If the radiation has a frequency of 8.64 x 10 Hz in the rest frame of the star, what is the frequency measured by an observer on earth? a) Of = 4.39 x 1014 Hz b) Of = 4.93 x 1014HZ c)Of = 4.45 x 1014 Hz d) Of = 4.39 x 1015 Hz e) Of = 4.69 x 1014 Hz