An electron moves in a detector with a relativistic energy of 24 MeV. The electron takes 203.6 s to pass through the detector (measured in the detector frame of reference). In which frame of reference do we measure the proper time?
Q: a. You and a friend pass each other in spaceships that are each traveling 0.77c relative to the…
A:
Q: 10. If an astronaut who has only aged 3 years returns to Earth 15 years later, how fast was his ship…
A:
Q: A 500 ft long spaceship with a mass of slugs is traveling at .8 c towards a distant star system 4…
A: (a) Time t° = 3years (b) length L= 833 ft
Q: 2. (Einstein's Theory of Relativity) One of the most important results found by Einstein's Theory of…
A: Einstein gave his two relativity theories the general relativity and special relativity. In special…
Q: An electron has a speed of 0.75c. Calculate the relativistic kinetic energy and the non-relativistic…
A:
Q: A muon is zipping through your lab, moving at 2.08x108 m/s. In its frame, it has a lifetime of 29…
A: Given that:v=2.08×108 m/sTo=20 μs (proper time)
Q: A rocket traveling at speed v = 0.74c with respect to Earth launches a space probe at speed 5 =…
A: Velocity of rocket with respect to the earth = 0.74c means Vr - Ve = 0.74c ........eq1 where Vr…
Q: A particle of mass 2m and velocity v comes from the left and collides with a particle of mass m and…
A: Given: Mass of particle is 2 m, m1=2 m m2=m u1=v u2=2v
Q: earth's frame of reference, i
A:
Q: A spaceship leaves Earth traveling at 0.70c. A second spaceship leaves the first at a speed of 0.90c…
A:
Q: An alien spaceship passes earth at velocity v = 0.74c. The spaceship is headed to the moon, which is…
A:
Q: A pion is an unstable particle that has an average lifetime of 2.55 x 10$ s. This is the time…
A:
Q: 1. An object measures 70 m in length, mass 3.5 kg when it is at rest. It travels with a spacecraft…
A: We are suppose to do only first three subpart from multipart question. Please Post it again…
Q: A spaceship whose rest length is 406 m has a speed of 0.83c with respect to a certain reference…
A: Given: The rest length of spaceship is L=406 m. The speed of spaceship relative to reference frame…
Q: A muon is created 70 km above the surface of the earth. In the earth's frame, the muon is traveling…
A: (A) The time elapses between the muon’s creation and the time it reaches the surface, that is, the…
Q: Which of the following statements are IMPOSSIBLE? Choose all that apply. The rocket's speed was…
A: The statement "The rocket's speed was measured to be 1.04c" is impossible, as the speed of an object…
Q: 3. When at rest an elementary particle has an average lifetime of 2.60*10^-8s. An astrophysics lab…
A:
Q: A proton moves at .25c. What is it's momentum? Choose the best answer. a) 2.575*10^-16kgm/s
A:
Q: 1. Muons are unstable subatomic particles with an average lifetime of 2.2 us that decay into…
A: Given that: - Average lifetime of a muon: 2.2 μs - Muon's speed: 0.999c (0.999 times the speed of…
Q: A particle has a rest mass of 6.95 × 10-27 kg and a momentum of 5.59 x 10-18 kg-m/s. Determine the…
A:
Q: Problem A new particle, the aarnion, has just been discovered! Careful measurements show that the…
A:
Q: stronomer David observes that a distant quasar is receding from the Earth at a speed of 0.80c. He…
A:
Q: Problem A A woman on a rocket traveling at 0.68c (with respect to Earth) observes a meteor come from…
A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Does any clock in this problem measure the spacetime interval between the events? If so, which one…
A: The clock onboard the alien spacecraft measures spacetime intervals.
Q: 10. A cube of aluminum 1.00 m X 1.00 m × 1.00 m is moving at 0.90c, in the orientation shown in…
A:
Q: A woman leaves the earth in a spacecraft that makes a round trip to a star, 6 light- years distant,…
A: It is given that the speed of the aircraft is, v=0.8c=0.8×3×108 m/s=2.4×108 m/s and the distance…
Q: 3. An electron and a proton are each accelerated starting from rest through a potential difference…
A:
Q: A muon is created 60 km above the surface of the earth. In the earth’s frame, the muon is traveling…
A: a. t=dv=60×103 m0.9999×3×108 ms=2.0002×10-4s b. ∆tmuon=∆tearth1-vc2 =2.0002×10-4…
Q: An astronaut flying at 0.65c takes a 3-h sleep period. How long does mission controlthink that the…
A: Given values:Time for sleep in the astronaut's frame:to = 3 h Velocity of spacecraft:v = 0.65c…
Q: A particle has a rest mass of 6.35 × 10-27 kg and a momentum of 5.39 × 10-18 kg-m/s. Determine the…
A:
Q: Find the relativistic mass of the rocket when its moving.
A:
Q: A proton moves at .25c. What is it's momentum? Choose the best answer. Question 16 options:…
A: "A proton is a subatomic particle that is found in the nucleus of an atom. It is one of the three…
Q: Particle-X has a speed of 0.730 c and a momentum of 6.240x10-19 kgm/s. What is the mass of the…
A:
An electron moves in a detector with a relativistic energy of 24 MeV. The electron takes 203.6 s to pass through the detector (measured in the detector frame of reference).
In which frame of reference do we measure the proper time?
A) The electron frame of reference
B) None of these answers
C) The detector's repository
D) Always in the teacher's repository

Step by step
Solved in 2 steps

- 2. The average lifetime of a muon is about 2 µs. a) Estimate the average lifetime of a muon traveling at the speed of (i) 0.5 c, (ii) 0.9 c, (iii) 0.99 c. b) In a laboratory experiment, a muon is observed to travel a distance of 800 m before disintegrating. Estimate the speed of this muon in the laboratory frame.Two rockets fly away from the Earth in opposite directions. Each rocket is moving at a speed of v = 0.83 c as seen from the Earth. a. How fast is rocket "B" moving as seen by the astronaut in rocket "A"? Express your answer as a decimal fraction of the speed of light. b. If the astronaut on rocket "A" measures a time interval of 60 minutes, how much time would they say goes by for the astronaut on rocket "B"? minutes c. Rocket "A" travels out from Earth at a speed of v = 0.83 c for a period of one year as measured on Earth, turns around, and then travels back to the Earth at the same speed for another Earth year. How much did the astronaut on the rocket age? yearsSection C: Relativity Question 8 "Cosmic rays" are high-energy particles, typically protons, that can enter the Earth's atmosphere from space. Suppose a cosmic-ray proton is travelling directly towards the centre of the Earth with kinetic energy, relative to the Earth, of 3.5 GeV. (a) If, in the reference frame of the Earth, the height of the Earth's atmosphere is 10 km, how much time does it take the proton to pass through the atmosphere and reach the Earth's surface in the reference frame of the proton? Er =(7ー)mc 3.5X10-(7-1)(938 x 10) = 4.13, v =0986 レ=10km - 3.41 X10 ニ I0 000 ニ 4.73 -4 E 1.6136X1J 's L= 2113.5bm
- 22. A 45.0 m long rocket travels at a speed of 0.945c past an observer who is at rest. What is the length of the moving rocket according to the observer? a) 14.7 m b) 32.7 m c) 45.0 m d) 138 m e) 61.9 m 3. FlootA neutron lives 900 s when at rest relative to an observer. How fast (as a fraction of the speed of light, c) is the neutron moving relative to an observer who measures its lifespan to be 2065 s? A. 0.938 c B. 0.965 c C. 0.982 c D. 0.910 c2. Suppose a space vehicle with a rest mass of 150 000 kg travels past the International Space Station at a constant speed of 2.6 x 108 m/s with respect to the I.S.S. When an observer on the I.S.S. measures the moving vehicle, her measurement of the space vehicle length is 25.0 m. a. Determine the relativistic mass of the space vehicle. b. Determine the length of the space vehicle as measured by an astronaut on the space vehicle.
- Particles accelerators such as the Large Hadron Collider (LHC) can accelerate particles up to tremendous energies. Suppose the LHC accelerates alpha particles (a.k.a. helium nuclei with a charge of +2e and a mass of 6.645 x 10-27 kg) with a kinetic energy of 7.5 TeV*, what would the speed of one particle be if relativistic effects** are ignored? Give your answer in units of Gm/s. *T as in Tera, for 1012. "eV" stands for "electron volt," which is a non-Sl unit of energy equal to what one electron would gain after travelling through 1V. 1eV = 1.602 x 10-19 J. **Special relativity is necessary to correctly account for the limiting speed of light, which is about 3 x 10° m/s. Note that in ignoring this effect and applying Newtonian mechanics (what you learned in Phys1210 or equivalent), you'll be getting a speed way above 0.3 Gm/s. That's just how insanely energetic the LHC is.An elementary particle has an average lifetime of 2.60*10^-8s. In a high-energy particle accelerator, these particles reach a very high speed and are found to have a lifetime of 2.60*10^-7s. What speed are the particles moving at in this experiment? a) 10.0 c b) .999c c) .995c d) .955c e) .880c f) .5cA particle is moving at a speed of 0.925c and travels from one end of a 50 m long Physics lab to the other. How long is the lab if measured when moving with the particle? A. 132 m B. 19 m C. 16 m D. 50 m E. 149 m
- 1. Two cars are traveling at constant speed along a road in the same direction. Car A moves at 60 km/h and car B moves at 40 km/h, each measured relative to an observer on the ground. What is the speed of car A relative to car B? 2. A supersonic plane moves away from you, and in the +x direction, at a speed of 1000 m/s relative to you. A second plane, traveling in the same direction and ahead of the first plane, moves away from you, and away from the first plane, at a speed of 500 m/s relative to the first plane. How fast is the second plane moving relative to you? 3. Astronauts in a spaceship traveling at v = 0.6c relative to Earth sign off from space control, saying that they are going to nap for 1.00 h and then call back. How long does their nap last as measured on Earth? 4. A stick that has a proper length of 1 m moves in a direction parallel to its length with speed v relative to you. The length of the stick as measured by you is 0.914 m. What is the speed v? T 5. Muons are…Find the kinetic energy of the objects in the scenarios. A. A cosmic pion of mass 140 MeV/?2140 MeV/c2 flies through outer space at a speed of 9.61×103 km/s9.61×103 km/s. See the hint for help converting MeV/?2MeV/c2 to kg.The dimensionless parameter γ is used frequently in relativity. As γ becomes larger and larger than 1, it means relativistic effects are becoming more and more important. A. What is γ if v = 0.28c? B. What is γ if v = 0.53c?