You are at rest. Your friend is rushing rightwards at the speed 12/13 c. When yo

Question

You are at rest. Your friend is rushing rightwards at the speed 12/13 c. When your clock reads 0 sec your friend is right next to you and your friend's clock reads 0s as well. So you are both at the event (0, 0, 0, 0) but your friend is moving rightwards at the speed 12/13 c. Show me how you compute how long you should wait before sending a light signal to your friend if you want your friend's clock to read 5 minutes when he gets the signal? How long you should wait before sending a light signal to your friend if you want your friend's clock to read 5 minutes when he gets the signal? You must show your work. This problem is your opportunity to show me the physics concepts you know, take advantage of it, and include units.

Explanation / Answer

T=t/gamma where gamma=1/sqrt(1-(v/c)^2)

therefore T=5min*sqrt(1-(12/13)^2=2.3 min

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