4) A spaceship leaves earth (event A), travels to Alpha Centauri, and then returns to earth exact...
c. Remember that a light-year is defined as the distance, relative to Earth, that light travels in one calendar year on Earth. If Alpha Centauri is 4.37 light-years away from Earth, what is this distance measured by you from your spaceship? d. You and your twin decided to synchronize your clocks before you started your trip so you can compare the length of your trip once you get back. i. How long does it take the spaceship to reach its...
Problem 4 (25 Points) A spaceship passes the earth at t=t’=0 with relative velocity v. At time t1 on earth clocks, a super space ship leaves the earth with relative velocity V>v to catch up with the first one. This will happen at earth time t2, where vt2 = V(t2-t1) or t2=V t1/(V-v). (a) What does the clock on the slow spaceship read when the earth clock reads t1 ? (b) If viewed from the slow spaceship, how far from...
Abby leaves Earth on a spaceship traveling at speed v while Bill stays on earth. After time ∆t′ has passed according to Abby’s watch, she sends Bill a signal. (a) Draw a spacetime diagram labelling Abby, Bill, the signal, and each event. (b) How much time passes before Abby sends the signal, according to Bill’s reference frame? (Answer in terms of v, c, and ∆t′) (c) When does Bill receive the signal, according to his wristwatch? (Answer in terms of...
piloting a state-of-the-art spaceship to α Centauri, which is a star about 4 lightyears away as measured from Earth. Your ship cruises at a speed of 0.6c. For this problem, you can assume that Earth and a Centauri are at rest with respect to each other. At your journey's midpoint, you decide to send a souvenir package to your folks back home. You launcha probe back to Earth at a speed of v 0.8c from your perspective. a. How long...