PROBLEMS

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  1. What is the meaning of the word relativity in physics?
  2. Can objects travel faster than light under any circumstances?
  3. Is it possible to travel in the rest frame of light?
  4. What is strange about relativistic velocity addition?
  5. Is mass conservation a law of nature?
  6. In the equation are we to understand this as a mass in motion through space at speed ?
  7. Which is more massive: A hot tub of water or the same tub cooled?
  8. Rocket A travels at 0.9c in the +x direction with respect to reference frame O, while rocket B heads toward it at 0.8c in the -x direction as measured in the same reference frame. What velocity does rocket B have as measured by A?
  9. In the question above, rocket A shines a laser at rocket B. What velocity does B measure for the incoming laser beam?
  10. How fast must you travel if you wish to travel to a star that is away from earth, and arrive in one day on your own watch?
  11. How long would your family back on earth have to wait for the news of your successful arrival in the previous problem? You send news in Morse-code laser pulses.
  12. A train travels at a speed large enough that it is 1% shorter as observed from alongside the tracks. How fast is it traveling?
  13. What happens to the train's width and height in the previous problem?
  14. Show how a muon can arrive at the ground after traveling a proper distance of 100 km if the muon's proper lifetime is only 2.2 micro-seconds. Do this both by length contraction and time dilation.
  15. Two identical particles traveling with opposite velocities collide inelastically and form a single particle. What must their speeds be if the new particle is twice as massive as the sum of the former particles?
  16. What momentum is required of an electron in order for its total energy to be 10x its rest energy?
  17. What is the momentum of a red photon of wavelength 600nm?
  18. How many photons per second (from the previous problem) would have to reflect off of a surface in order for it to be pushed by an average force of a nano-newton? Recall that .