Problem 44741. You are constantly moving at a speed v faster than your twin brother. How long does it take before you become 1s younger than him according to the theory of relativity?

You are moving at a speed of v_in (km/h) relative to your twin brother of the exact (even in seconds) same age.

Define: gam = 1/sqrt(1-v^2/c^2) where v is the relative speed in m/s and c is the speed of light in m/s.

According to the theory of relativity (specifically time dilation), a time interval dt for your twin brother equals a time interval of gam*dt for you. For how long must you travel, in years, with the speed v_in in order to become 1 second younger than your twin brother?

Solution Stats

30.0% Correct | 70.0% Incorrect
Last Solution submitted on Mar 07, 2019

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