If the total energy of the moving electron is three times its rest energy then determine the following: i) The γ factor. ii) Its total energy.
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) If the total energy of the moving electron is three times its rest energy
then determine the following:
i) The γ factor.
ii) Its total energy.
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- 1. Suppose a spaceship heading straight toward the Earth at 0.650c can shoot a canister at 0.400c relative to the ship. (a) What is the velocity of the canister relative to Earth, if it is shot directly at Earth? (b) If it is shot directly away from Earth?P9 E4In 1977 the planet Alderaan, with a mass of 3 x 1024 kg, exploded. Assuming it was initially at rest and experienced no external interactions, 3. A) If the planet blew apart into two pieces with 40% of its mass flying away in one piece at 4,000 km/s, what speed did the rest of the planet have relative to its original frame? B) If the planet blew apart into three pieces, with 30% of its mass flying away at 3,000 km/s, and 20% of its mass flying away at 5,000 km/s at an angle of 120° relative to the velocity direction of the first fragment, what velocity did the rest of the planet have? Report the direction by specifying its angle relative to the velocity direction of the first fragment.
- 3) In a frame S, two events are observed by Max: event 1: a pion (pi meson) is created at rest at the origin, and event 2: the pion disintegrates (decays) after time T. Susan is an observer in frame S', and is moving in the positive direction along the positive x-axis, with speed v. Susan observes the same two events in her frame. The two frames coincide at time t = t' = 0. a) Find the positions and timings of these two events in Susan's frame according to the Galilean transformation. b) What are the positions and timings of the two events in Susan's frame according to the Lorentz transformation? Provide details of how you calculated your results, and explain the differences be- tween the answers (a) and (b).Since there is an upper limit on the speed of a particle, does it follow that there is also an upper limit on its momentum, and, therefore, on its kinetic energy? Explain.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.
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