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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?

Created by Mikael Andblom in Community

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?

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

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