Calculate the relativistic energy of a 0.2 kg mass moving at 0.9c.
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A: Solution:-Given thatmass of person (m)=93.9 kgspeed of person (v)=0.994cc=speed of light=3×108 m/s
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A: From Length's contraction: L= L01-v2c2 L= 251-0.992c2 L= 25×0.141= 3.5 m
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Q: time
A: speed of spaceship (v)= 0.85cSince the speed of the space ship is comparable to the speed of light,…
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- The measured mean lifetime of an elementary particle when it is at rest in the lab is measured to be 2.6x10-8 s. If the particle is observed while traveling at a speed v=0.9 c with respect to the lab. What will be the value of the measured mean lifetime while the particle is moving?12. (a) A particle is traveling through the Earth's atmosphere at a speed of 0.750c. To an earth bound observer, the distance it travels is 2.5km. How far does the particle travel in the particle's frame of reference? (b) Calculate the momentum of an electron traveling at a speed 0.985c? The rest mass of the electron is 9.11 X 10-31 kg.A particle known as a pion lives for a short time before breaking apart into other particles. Suppose a pion is moving at a speed of 0.992c, and an observer who is stationary in a laboratory measures the pion's lifetime to be 2.7 x 10-8 s. (a) What is the lifetime according to a hypothetical person who is riding along with the pion? (b) According to this hypothetical person, how far does the laboratory move before the pion breaks apart? (a) Number (b) Number i Units Units
- Calculate the rest mass of an atomic particle, if the particle accelerator produces a velocity of 0.955c and measures a relativistic momentum of 1.25 x 10^-18 kg·m/s.Calculate the ratio of the relativistic kinetic energy to the classical energy kinetic energy for an electron (mass = 9.109x10^-31 kg) moving with constant speed of 0.75c.A space probe from Earth, speeding towards the Sun's nearest neighbor star moves at 0.255c and sends radio information at a broadcast frequency of 1.2 GHz. What frequency in megahertz is received on the Earth?
- A proton is moving at a speed of 0.78c. Calculate the relativistic total energy.If two spaceships are heading directly toward each other at 0.800c, at what speed must a canister be shot from the first ship to approach the other at 0.999c as seen by the second ship?Professor Einstein is standing on a space station and observes two spaceships approaching him fromopposite directions at speeds of 0.8c and 0.7c. What is the speed of one spaceship moving withrespect to the other?