Solve the all part of given problem:
Problem: Travel to the stars requires hundreds or thousands of years, even at the speed of light. Some people have suggested that we can get around this difficulty by accelerating the rocket (and its astronauts) to very high speeds so that they will age less due to time dilation. The fly in this ointment is that it takes a great deal of energy to do this. Suppose you want to go to the immense red giant Betelgeuse, which is about 500lightyears away. (A light year is the distance that light travels in one year.) You plan to travel at constant speed in a 1050kg rocket ship (a little over a ton), which, in reality, is far too small for this purpose.
Part 1: If the rocket ship's speed is 0.505 c, calculate the time for the trip, as measured by people on earth.
Part 2: If the rocket ship's speed is 0.505 c, calculate the time for the trip, as measured by astronauts in the rocket ship.
Part 3: If the rocket ship's speed is 0.505 c, calculate energy needed as a percent of U.S. yearly use (which is 1.00Ã-1020J ).
Part 4: If the rocket ship's speed is 0.990 c, calculate the time for the trip, as measured by people on earth..
Part 5: If the rocket ship's speed is 0.990 c, calculate the time for the trip, as measured by astronauts in the rocket ship.
Part 6: If the rocket ship's speed is 0.990 c, calculate the energy needed in joules.
Part 7: If the rocket ship's speed is 0.9999c, calculate the time for the trip, as measured by people on earth.
Part 8: If the rocket ship's speed is 0.9999c, calculate the time for the trip, as measured by astronauts in the rocket ship
Part 9: If the rocket ship's speed is 0.9999c, calculate the energy needed in joules.
Part 10: If the rocket ship's speed is 0.9999c, calculate energy needed as a percent of U.S. yearly use (which is 1.00Ã-1020J).
Please show all work and use great detail in explaining the solution. Thank you.