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Time Dilation and Length Contraction
Transcript of Time Dilation and Length Contraction
Relativistic length: the length measured in a reference frame in which the observed object is moving at speed close to the speed of light. Jasper's version Zoe's Version Example Answer:
41 beats per minute Example An alien named Mr. Schmidt is moving in geostationary orbit with the Earth in a UFO that is 200m is length. Suddenly, he flies toward the surface of the Earth at a speed 0.95c. What is the contracted length of his UFO according to an observer on Earth? Answer:
62m proper time relativistic time proper length realtivistic length Relativistic time: time interval measured in a frame of reference where beginning and end of experiment occur at two different points in space
Proper time: time interval measured in a frame of reference where beginning and end of experiment occur at the same point in space The Lorenz Factor An interesting fact about time dilation Time and space are elastic and the gravity warps space itself
During the times you are upright with your feet below your head, the earth’s gravity is acting on you, meaning that the gravity is actually slightly stronger for your feet than for your head. This means your feet age more slowly than your head.
By the end of your life, your head will only be 3.0 E-7 seconds older than your feet. Bonus Question Can a large, moving object
become completely invisible to a stationary observer? Prove it mathematically.