Time Dilation Formula
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Time in the moving frame as measured by observer in rest frame
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Time you measure on your watch and time you measure on your
friends watch is different if your friend is moving relative to you
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Also known as the gamma factor
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Time will appear to pass more slowly in a moving object by an
amount depending on its speed
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Time almost halts for objects nearing the speed of light
Length Contraction
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Train moves with velocity v relative to the platform
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To the observer on the platform the train take L=vt to move past
the rod
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But to the observer in the train the rod is moving to the left with
speed v, and the rod takes a time t to move past the train
•
As viewed from a moving frame, the length of the rod is shorter
than it is in the frame at which it’s at rest
Mass Increase
•
Because of time dilation: a force applied to a rapidly moving object
produces less acceleration than if the object were motionless
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 Spring '11
 Corcoran
 General Relativity, Special Relativity, time dilation formula, rapidly moving object, relative frames Spacetime, light Length Contraction

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