A spacecraft receding from the earth emits radio waves at a constant frequency of 109 Hz. If the receiver on earth can measure frequencies to the nearest hertz, at what spacecraft speed can the difference between the relativistic and classical Doppler effects be detected? For the classical effect, assume the earth is stationary.

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: 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 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: Is the relativistic rule consistent with the fact that light can have only one speed in all…

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Q: At what speed do the classical and relativistic values of a particle’s momentum differ by 10.0%?

A: Let the mass of the particle be defined as m. Let the speed of the particle be defined as u.The…

Q: The kinetic energy of a particle of mass m traveling with speed v is equal to K. What is the kinetic…

A: If m is the mass and v is the velocity ,the kinetic energy K=12mv2 When m=m2 and v=2v ,the new…

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

A: Yes

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: Take the ratio of relativistic rest energy, E = γmc 2, to relativistic momentum, p = γmu , and show…

A: The relativistic rest energy is, E=γmc2p=γmc andEp=γmc2γmc=c

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: How fast will a space ship be moving, if the observer on earth notices that the time on the…

A: The equation for the time dilation is given by

Q: ay from Earth? (b)To what frequency must Earth receivers be tuned to receive the report when the…

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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 new particle, the joelon, has just been discovered! Careful measurements show that the joelon has…

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Q: An electron, which has a mass of 9.11 × 10-31 kg, moves with a speed of 0.750c. Find the magnitude…

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Q: If relativistic effects are to be less than 3%, then γ must be less than 1.03. At what relative…

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Q: (a)Particles called r-mesons are created by accelerator beams. If these particles travel at 2.49 x…

A: Given   Speed of particles , v = 2.49×108 m/s  Time , ∆to = 2.60×10-8 s  Relativistic factor , Y =…

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

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Q: An astronaut exercising on a treadmill maintains a pulse rate of 150 per minute. If he exercises for…

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Q: Compared to the proper time, relativistic time or the time observed by anobserver moving with…

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Q: A tuning fork has a frequency of 800 Hz and hence a period of 1.25 × 10 −3 s. If the tuning fork is…

A: The given values are, f=800 HzT=1.25×10-3 sv=0.690c

Q: A cube of steel has a volume of 1.00 cm3 and mass 8.00 g when at rest on the Earth. If this cube is…

A: It is given that,

Q: If relativistic effects are to be less than 3%, then y must be less that 1.03. At what relative…

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Q: Use the relativistic definitions of energy and momentum to show that E  = pc for any particle…

A: For a particle moving with speed of light, the momentum of the particle is given by p=mc…

Q: At what speed, in m/s,  would a moving clock lose 1.1 ns in 1.0 day according to experimenters on…

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Q: A spacecraft is measured to be 250.00 m long while it is at rest with respect to an earth-based…

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

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

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Q: Is the relativistic Doppler effect valid only for light waves? Can you think of another situation in…

A: The relativistic Doppler effect of light is the variation in the frequency of a light wave when the…

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: At what speed do the relativistic formulas from length and time intervals differ from classical…

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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 light bulb at point x in the frame of reference of O blinks on and off at intervals Δt = t2 − t1.…

A: Formula : t' =γ(t-vxc2) where t is time in rest frame t' is time in relative frame  γ is 11-v2c2…

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.