Take up running! You'll live longer!
You jog at exactly kilometers per hour (as clocked by a stationary observer). Say that you run kilometers every day for years (a Julian year is exactly days). According to special relativity, how much younger in seconds due to running will you be than your twin (who was born at exactly the same time as you, but sat stationary on a couch the whole time)?
Round to two decimal digits (and pay attention to formatting your answer in scientific notation).
The answer is 1.44E-9.
This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.
1 solution
You run for a total of 1 1 2 5 0 seconds per day. This translates to 3 2 8 7 2 5 0 0 0 seconds total of running in the reference frame of your twin. Thus, the amount of time experienced by you is 3 2 8 7 2 5 0 0 0 1 − ( v / c ) 2 , where v = 3 . 2 meters per second and c is the speed of light. The difference between these is approximately 1 . 7 9 × 1 0 − 8 seconds.