Bo takes off in a spaceship for a planet 16.8 light-years away. He travels at 0.
ID: 1597840 • Letter: B
Question
Bo takes off in a spaceship for a planet 16.8 light-years away. He travels at 0.96c the whole way. The moment he arrives, he realizes he forgot his deodorant and returns to earth at the same speed. How long does the whole trip take according to the people on earth, and how long does Bo think it took? Bo takes off in a spaceship for a planet 16.8 light-years away. He travels at 0.96c the whole way. The moment he arrives, he realizes he forgot his deodorant and returns to earth at the same speed. How long does the whole trip take according to the people on earth, and how long does Bo think it took?Explanation / Answer
relation between distance and time is
t = d/v
=(16.8 + 16.8) light years/(0.96c)
=33.6 ( 9.4605284 × 1015 meters)/ 0.96( 3* 10^8 m/s)
=110.36* 10^7 s
(b)
from the time dilation formula
t' = t/ sqrt 1- ( v/c)^2
= 110.36 * 10^7 s/ sqrt ( 1- (0.94c/c)^2
=323.49 * 10^7 s