Take the ratio of relativistic rest energy, E = γmc 2, to relativistic momentum, p = γmu , and show that in the limit that mass approaches zero, you find E / p = c .

Q: A spaceship is observed from the Earth to be moving toward a star at a speed of 0.80 c. If the…

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Q: What effect do mass and velocity have on the momentum of objects moving at relativistic speeds?

A: Relativistic momentum is given by: p=γmuwhere, γ=lorrentz factor                =11-v2c2m= mass of…

Q: Is the relativistic Doppler effect consistent with the classical Doppler effect in the respect that…

A: Doppler effect is an effect in the frequency or wavelength of light due to the motion of the motion…

Q: What happens to the relativistic Doppler effect when relative velocity is zero? Is this the expected…

A: Relativistic Doppler effect is defined as the change in wavelength of radiation, which is moving…

Q: A spacecraft receding from the earth emits radio waves at a constant frequency of 10^9 Hz. If the…

A: Let the difference between the classical and relativistic frequency of the radio wave be 1 Hz. For…

Q: A neutral K meson at rest decays into two t mesons, which travel in opposite directions along the x…

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Q: In the nuclear fission of a 238U nucleus, "fast" neutrons are emitted with a speed of 0.6497c.…

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Q: In the muon decay experiment discussed in Section 2.9 as a verification of time dilation, the muons…

A: Time dilation: When the observer is moving wrt to the event happening then both the frame of…

Q: Find the proper lifetime of that particle: to= .000000000381 X s.

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Q: Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length…

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Q: A neutral -meson is a particle that can be created by accelerator beams. If one such particle lives…

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Q: eson of rest energy 139.6MeV moving at a speed of 0.921c collides with and sticks to a proton of…

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Q: How does relativistic time dilation prohibit neutrino oscillations if they are massless?

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Q: A neutral π-meson is a particle that can be created byaccelerator beams. If one such particle lives…

A: The expression for find relative velocity is t'=t01-v2c21-v2c2=t0t'1-v2c2=t0t'2v=c1-t0t'2

Q: Take the ratio of relativistic rest energy, E = γmc2 , to relativistic momentum, p = , and show that…

A: The relativistic rest energy is given by,

Q: Suppose a spacecraft of mass 17,000 kg is acceleratedto 0.15c. (a) How much kinetic energy would it…

A: a. kinetic energy can be expressed as KE=γ-1mc2

Q: If the mean proper life-time of particles is 2.2 x 106 s, the average distance would they travel in…

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Q: How fast must a meter stick be moving if its length is observed to shrink to half a meter by an…

A: l=l01-v2c2

Q: Show that for any object moving at less than one-tenth the speed of light, the relativistic kinetic…

A: The relativistic kinetic energy of a particle, with mass relativistic mass m and rest mass m0,…

Q: A spacecraft receding from the earth emits radio waves at a constant frequency of 109 Hz. If the…

A: Given data: Frequency f = 109 Hz

Q: A spaceship, moving away from Earth at a speed of 0.900c, reports back by transmitting at a…

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Q: Can a particle of mass m have total energy less than mc2? Explain.

A: The energy equivalent of a particle of mass m is mc2 .

Q: Appearing in the lime·dilation and length-contraction formulas, Yv is a reasonable measure of the…

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Q: A muon has a rest mass energy of 105.7 MeV, and it decays into an electron and a massless particle.…

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Q: A ground observer made a measurement on a wooden box and the length was found to be 2.3 m. At what…

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Q: Does the relativistic postualte of constancy of velocity of light hold for inertial frames only or…

A: This holds for all inertial frames.

Q: Since there is an upper limit on the speed of a particle, does it follow that there is also an upper…

A: Kinetic energy and momentum of the panicle is depending on the mass of the particle. Mass has no…

Q: What is the rest energy of an electron, given its mass is 9.11×10−31 kg ? Give your answer in joules…

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Q: Suppose there was a process by which two photons,each with momentum 0.65 MeV/c could collide and…

A: Given data The momentum of each photon is P = 0.65 MeV/c. Now, the total momentum of the process…

Q: In a nuclear reaction two identical particles are created,traveling in opposite directions. If the…

A: Given Data: The speed of the first particle is, u = -0.82c. The speed of the second particle is, v…

Q: What is the kinetic energy in MeV of a π -meson that lives 1.40×10−16 s as measured in the…

A: Given Data: The decay time of meson in rest frame is, t0=0.840×10-16 s The decay time in the rest…

Q: At low velocities, relativistic momentum is equivalent to classical momentum. Why?

A: Relativistic momentum p is classical momentum multiplied by the relativistic factor γ. i.e. p=γmu…

Q: Suppose a W − created in a bubble chamber lives for 5.00×10−25 s. What distance does it move in this…

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Q: If the mean proper life-time of particles is 2.2 x 10-6 s, the average distance would they travel in…

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Q: The half‑life, at rest, of a positive pion is 1.80×10−8 s. With what speed V must a positive pion…

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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…

Q: A nuclear process, producing two elcctrons moving in the opposite direction each with a velocity…

A: A nuclear process, producing two elcctrons moving in the opposite direction each with a velocity…

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.