1) Explain why a particle with non-zero rest mass can't travel at the speed of light
Q: The momentum of a particle with rest mass m is given as p=mc where c is the speed of light.…
A: Energy dissipation relation of Special Theory of Relativity is E2=p2c2+m2c4 (1)…
Q: Muons have an apparent lifetime of 19.36 μs. How fast were they travelling?
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Q: A Neutron is moving at a speed of 95% the speed of light, v= 0.95c A)Calculate the Lorenz…
A: A) Lorentz factor (γ)Since, γ=11-v2c2 ⋯⋯⋯⋯⋯⋯⋯⋯(1)Now, as already given that v=0.95 So, putting this…
Q: 4. In a colliding beam apparatus, two beams of protons are aimed at each other. The first proton…
A: According to theory of relativity, Speed of second object w.r.t first object V21 =( V2 - V1 ) / (…
Q: Unreasonable ResultsA spaceship is heading directly toward the Earth at a velocity of 0.800c . The…
A: The canister’s velocity in the rest frame is, The relative velocity between the two frames is,
Q: Question 14 What would be the total energy of the spaceship (m = 10^4 kg) when moving at v = 0.87c…
A: Solution 14: The total energy of the spaceship with the rest mass of 104 kg, moving at a speed of…
Q: 2- Find the kinetic energy of a 78.0-kg spacecraft launched out of the solar system with speed 106…
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Q: How much would you age in traveling a distance of 4.73 light years from earth if you were able to…
A: Write the expression for the original time and substitute the corresponding values. t0=dvt0=4.73…
Q: The mass of a proton is 1.67 x 10-27 kg. Which of these is the kinetic energy of a proton moving at…
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Q: A UFO is traveling toward a spaceship at 0.74c. A probe leaves the spaceship at a speed of 0.29c…
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Q: Two spaceships are moving towards each other with the same speed measured by an ob- server on Earth.…
A: let
Q: it is the time interval between two events taking place at the same point in space as timed with…
A: According to question: The proper time interval between twoevents on a world line is the change in…
Q: 3- How fast must a meter stick be moving if its length is measured to shrink to 0.500 m?
A: Given length of scale by observed at rest L=0.5m Determine the speed of meter stick using the length…
Q: An astronaut measures his ship before leaving for space. If the ship at departure has a speed of…
A: speed of spaceship (v) = 0.92 c Length (L) = 10 m
Q: What would be the total energy of the spaceship (m = 10^4 kg) when %3D moving at v = 0.75c as…
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Q: 3. If you were on a spaceship traveling at 0.60c away from a star, at what speed would starlight…
A: Speed of light will remain same (i.e. c).
Q: 8) A spaceship took journey from its homeplanet to a star system at 65 ly. The distance measured by…
A: Length contraction is the shortening of distance or length measured due to high velocity. Thus…
Q: 15) How long would it take a spacecraft traveling at 0.65c to get from Earth to Pluto according to…
A: Time dilation is the phenomenon by which time gets slower as velocity gets higher. The time measured…
Q: 12) A spaceship of 100 m is moving at a velocity of 0.99c. If an observer measures its distance as…
A: When objects move faster the length becomes shorter. This effect is known as length contraction.…
Q: 2. Show that two successive Lorentz transformations corresponding to speeds vi and vz are equivalent…
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Q: a) if Jim is on a space ship traveling from earth, and the ship takes a 2 year journey at a speed of…
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Q: Determine the speed at which the kinetic energy of an electron is equal to twice its rest energy.…
A: Kinetic energy of an electron is equal to twice its rest energy. K = 2E
Q: Q2. (a) If the mean proper life-time of muons is 2.2 x 10 s, what average distance would they travel…
A: Given, The mean a proper lifetime, ∆t0=2.2×10-6s The velocity of the muon in the reference frame,…
Q: 6) A spaceship, travelling past earth at a speed of 0.955c, is measured to be 82m long by observers…
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Q: muon has rest energy 105 MeV. What is a muon's kinetic energy when its speed is 0.95c?A) 37 MeVB) 47…
A: In this problem, we are given the rest energy of a muon, which is 105 MeV. We are also given the…
Q: 12) An extraterrestrial spacecraft whizzes through the solar system at 0.75c. How long does it take…
A: Time is not absolute. It varies with the velocity. A clock moving very fast will be slower than a…
Q: If a spaceship is approaching the Earth at 0.100c and a message capsule is sent toward it at 0.100c…
A: Given that-Speed of the spaceship, v=0.100cSpeed of the message Capsule, u'=0.100cThe speed of the…
Q: 4.) 1.) see photo for details, please provide full body diagram with solution
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Q: 12) Distance between two planets is measured to be 100 ly in their rest frame. A spacecraft capable…
A: The length of an object is not absolute, when objects move fast their length will decrease. The…
Q: The lifetime of a certain type of elementary particle is 1.7 ✕ 10−8 s. If this particle were…
A: It is given that,
Q: A car travelling at close to the speed of light has a factor of 2. At rest, the car is 4m long and…
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Q: 5) A spaceship of 50 m is moving at a velocity of 0.99c. If an observer measures its distance as it…
A: Length contraction is the shortening of distance or length measured due to high velocity. Thus when…
Q: Would it be easier to perform the muon decay experiment in the space station orbiting above Earth…
A: Would it be easier to perform the muon decay experiment in the space station orbiting above Earth…
Q: nterval does the crew measure when their craft travels at 0.950c? jans: 68.6 h) 5. Two astronauts…
A: The time dilation equation is given by ∆tm=∆ts1-v2c2 where ∆ts=time interval measured by…
Q: 1. Radionuclide has a lifetime of 1x10^(-5) when measured at rest. how far does it take before…
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Q: -The relativistic total energy of a proton (E = 938 MeV) moving at a speed of V= 0.86c is 1580 MeV…
A: We know that:-The relativistic enrgy of a particle,E=pc2+mc22 Equation 1where, p…
Q: QUESTION 2 a) Determine the velocity of an electron if its kinetic energy is equal: i. To the…
A: Kinetic energy of electron=(mv^2)/2 Where m=mass of electron And v=velocity of electron
Q: 9) A spaceship took journey from its homeplanet to a star system at 100 ly. The distance measured by…
A: When objects move faster the length becomes shorter. This also reduces the distance covered when…
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