The half‑life, at rest, of a positive pion is 1.80×10−8 s. With what speed V must a positive pion (an unstable particle) be moving to travel 4.60 m (according to the laboratory frame) before it has a 50% chance of decaying? V = ?m/s At what fraction V/c of the speed of light must the pion be moving? V/c = ?

Q: A spacecraft is launched from the surface of the Earth with a velocity of 0.600c at an angle of…

A: Given: The velocity v1 = 0.6c, The velocity v2 = 0.7c, Angle of velocity v1 with x axis = 50.0

Q: object with a rest mass of 13722.4 MeV/c2 is moving with a B(beta) of 0.496. What is the…

A: Here we use relativistic mechanics

Q: How fast must an object be going if its rest length is 2.1 times as long as its observed length?

A: Given: The rest length of the object is 2.1 times of the observed length.

Q: A muon has a lifetime 2.2 microseconds in its own rest frame. In a frame of reference where the muon…

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Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.975c. Two…

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Q: A particle of the rest energy (0.624 GeV) moves with respect to the laboratory at speed u=0.8 c. the…

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Q: A spaceship in distress sends out two escape pods in opposite directions. One travels at a speed v1…

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Q: Calculate the relativistic momentum of a particle of mass 1.76x10 kinetic energy is equal to three…

A: Given,

Q: A supertrain of proper length 94 m travels at a speed of 0.93c as it passes through a tunnel having…

A: The Lorentz transformation is the contraction of length l of any object with respect to the moving…

Q: A space shuttle passes over the Earth at v = 0.90c speed. If the length of space shuttle observed by…

A: Proper length = L∘=100 m Speed = v = 0.9  Say length observed from earth is L The formula used will…

Q: A spaceship, 190 m long as seen on board, moves by the earth at 0.930c. What is its length (in m) as…

A:

Q: Calculate the mass and speed of an elementary particle having kinetic energy 1.8 MeV. Given rest…

A: Rest  mass = 1.6×10-29kg K.E = 1.8Mev =2.88×10-13 j

Q: Otávio and Diana are at rest in the frame S', which moves at 0.600c in

A: Yes

Q: A spacecraft with the shape of a sphere of diameter D moves past an observer on Earth with a speed…

A: The length of the object contacted in the direction of its motion.The contracted length is

Q: kg, An unstable particle at rest spontaneously breaks into two fragments of unequal mass. The mass…

A: Given Data Mass of the first fragment is m1=2.80×10-28 kg Mass of the other fragment is…

Q: In a proton linear accelerator, protons are accelerated to have a kinetic energy of 490 MeV. What is…

A: The relativistic kinetic energy of the proton is

Q: The rest energy of a proton is 9.39 x 108 eV. An proton is accelerated until its kinetic energy is…

A: Rest energy of proton = 9.39×108 eV Kinetic energy of proton = 1.13×109 eV

Q: A muon has a lifetime 2.2 microseconds in its own rest frame. In a frame of reference where the muon…

A: Write a given values of this question. Muon lifetime. τ∘=2.2 microseconds Velocity of muon. v=0.6c

Q: The half‑life of a certain subatomic particle at rest is about 1.00×10−8 s. With what speed V is a…

A:

Q: The origins of two frames coincide at t = t' 0 and the relative speed is 0.991c. Two micrometeorites…

A: We have two inertial frames of references as S and S' with coordinates (x, y, z, t) and (x', y', z',…

Q: A supertrain of proper length 1.00 X 102 m travels at a speed of 0.95c as it passes through a tunnel…

A: Formula to calculate the contacted length of the train measured by the track side observer is,

Q: Frame S' has a speed v = 0.6c relative to S in x direction which is parallel to x'. The clocks on S…

A: Given : Speed of S' with respect to S, v = 0.6c The clocks on S and S' are adjusted so that t= t'= 0…

Q: How far from the earth would you be able to travel in a lifetime of 74 years if you were able to…

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Q: An experimenter has studied the decay of a K° particle in which it emits a pion at 0.8c. One such K°…

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Q: A rocket cruises past a laboratory at 0.400 x 10° m/s in the positive I-direction just as a proton…

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Q: . In a proton linear accelerator, protons are accelerated to have a kinetic energy of 500 MeV. What…

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Q: If an object at rest in a given frame has no potential energy, then it has a)a rest energy of mc2…

A: Potential energy is the energy of an object due to its position with respect to other objects,…

Q: How far from the earth would you be able to travel in a lifetime of 81 years if you were able to…

A: Given, Life-time measured in the earth's frame t0 = 81 years. speed (v) =0.82 c where "c" = speed of…

Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.991c. Two…

A: a) To find the spatial coordinate of collision for an observer in frame s by Lorentz transformation…

Q: An experimenter has studied the decay of a K° particle in which it emits a 7° at 0.8c. One such K°…

A: 0we will use the relativistic addition formula

Q: The measured mean lifetime of an elementary particle when it is at rest in the lab is measured to be…

A:

Q: The half‑life of a certain subatomic particle at rest is about 1.00×10−8 s. With what speed V is a…

A:

Q: What will be the mean lifetime of a muon as measured in the laboratory if it is traveling at v=0.1c…

A:

Q: A spaceship carrying a light clock moves at a speed of 0.6c relative to an observer on Earth. If the…

A: Given data The speed of the spaceship is given as v = 0.6c. The time advances by the ship on the…

Q: The proper mean lifetime of a muon is 2.2 × 10–6 s. A beam of muons is moving with speed 0.6c…

A: Proper lifetime = 2.2 *10-6SecUsing relativistic formula for time t = to/1 - (v/c)2t = 2.2 *10-6…