If I am moving at 10,000 km/sec, how long will one of my seconds last for a stationary observer? Round your answer to 5 decimal places. Use the equation below, and take the speed of light to be 299,792km/sec.
Feel even better about yourself if you manage to do this without a calculator (or at least, the part not involving square roots)! Our brain grows through struggle!
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The t0 is 1 second (it is the time passed for the moving observer). v^2 is the velocity squared, so it's 10,000 squared=100,000,000. That is divided by the speed of light squared (299,792 squared, due to the rules), which equals 89,875,243,264. Substitute these values in and find your answer!