1) Explain why a particle with non-zero rest mass can't travel at the speed of light
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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?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).5: Write down Lorentz transformation equations of special theory of relativity. Can a person, in principle, travel from Earth to the galactic center (which is about 23000ly distant) in 100 years? Try to calculate what is the constant speed it need to make the trip. Explain "mass is equivalent to energy".