Unformatted text preview: In particular, show that the commutator algebra is closed. 4. Problem 7.18. 5. Starting from rest, a spaceship leaves Earth and flies to Proxima Centauri, 4.2 lightyears away. For the first half of the journey, the ship maintains a steady acceleration of 9.8 m/s 2 in its own reference frame. For the second half, it decelerates at the same rate. (a) What is the maximum velocity relative to Earth attained by the ship? (b) How long in ship time does it take the ship to get there? (c) How long in Earth time? 6. Problem 7.23. [Review Problem 2, PS #1 first.] What minimum fraction of its rest mass must the spaceship of problem #2 expend in order to complete its journey, assuming the rocket gases are expelled with perfect efficiency at the speed of light? Compare with the nonrelativistic (Newtonian) answer....
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 Fall '08
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 mechanics, Force, Special Relativity, Proxima Centauri, Newtonian) answer.

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