(a) Find the kinetic energy of a 78.0-kg spacecraft launched out of the solar system with speed 106 km/s by using the classical equation K = 1/2 mu2. (b) What If? Calculate its kinetic energy using the relativistic equation. (c) Explainthe result of comparing the answers of parts (a) and (b).

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: What must be the momentum of a particle with mass m so that the total energy of the particle is 3.00…

A:

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: 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: Find the speed of a particle whose relativistic kinetic energy is 40 % greater than the Newtonian…

A: Here given the relativistic kinetic energy of the particle is 40% greater than the Newtonian…

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

A: Given,

Q: At what speed is a particle’s kinetic energy twice its rest energy?

A:

Q: Particles called π -mesons are produced by accelerator beams. If these particles travel at 2.70×108…

A: Given:  velocity, v = 2.7 x 108 m/s t = 2.6 x 10-8 s

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: An unstable high-energy particle enters a detector and leaves a track of length 1.05 mm before it…

A:

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

A: l=l01-v2c2

Q: The relativistic total energy of a proton (Eo-938 MeV) moving at a speed of -0.86c is

A: We have givenE0=938 MeVandSpeed of proton (v)=0.86c

Q: If an external force is operating on a system, is it feasible for it to be relativistic at the same…

A:

Q: A futuristic spaceship leaves the Earth traveling at a speed 0.85 c. A clock on board the ship reads…

A: Write the given values with the suitable variables. v=0.85ctp=2 hr Here, v and tp are the speed of…

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: If a high-speed spaceship appears shrunken to half its normal length, how does its momentum compare…

A:

Q: At what speed is the magnitude of the relativistic momentum of a particle five times the magnitude…

A: We know that the momentum of a particle of mass m moving with velocity v is given by  p = mv…

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

A:

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: Particles called π-mesons are created by accelerator beams. If these particles travel at 2.54 ✕ 108…

A: Relativistic factor   Substituting the given values

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

A:

Q: Is it possible for an external force to be acting on a system and relativistic momentum to be…

A: Relativistic momentum P is calculated by multiplying classical momentum by the relativistic factor…

Q: If relativistic effects are to be less than 1%, then γ must be less than 1.01. At what relative…

A:

Q: What is the momentum in MeV/c of an electron with a kinetic energy of 2.00 MeV?

A:

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

A:

Q: What is the speed of a particle whose momentum is mc?

A: We know that, relativistic momentum is, p=γmv   It is given that, the particle's relativistic…

Q: How long would the muon in attached Example have lived as observed on the Earth if its velocity was…

A: Here, tE=tR1-vc2

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

A:

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: An electron whose momentum (885 keV/c). Therefore it has kinetic energy ( keV) is •... ....

A:

Q: An airplane has rest length 40.0 m and speed 630 m/s. To a ground observer, (a) by what fraction is…

A: (a) The expression for the length contraction is:

Q: Suppose that a father is 20.00 y older than his daughter. He wants to travel outward from Earth for…

A: The formula for the time dilation is: The father is 20 years older than his daughter but after…

Q: What are the kinetic energy, the rest energy, and the total energy of a 1.0 g particle with a speed…

A: The mass of rhe particle is m=1.0 g×1 kg1000 g=0.001 kg. The speed of the particle is…

Q: Suppose a spacecraft of mass 17000 kg is accelerated to 0.200 c. How much kinetic energy would it…

A: Given:- Mass(m)=17000 kg Velocity (V)=0.20 c Now, The relativistic kinetic energy of the particle.…

Q: kinetic energy for an electron

A:

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…

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.