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Repeat the previous problem with the ship heading directly away from the Earth.
(a) $u^{\prime}=-0.400$(b) $u^{\prime}=-0.909$
Physics 103
Chapter 28
Special Relativity
Relativity
University of Michigan - Ann Arbor
Simon Fraser University
Hope College
University of Winnipeg
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the lost of spaceship observed from outside observer when she, uh, heading directly over from the earth is we is equal to minus zero point 750 times the speed of light and the lost you've canister observed by the astronaut, which is shot directly if the earth is you prime and it's equal to 0.500 times the speed of light. And the speed of light is 3.0 multiplied by 10 to the power eight meter per second. Okay, All right. While using the real animistic the lost tradition Vienna today to you is a cold too. We bless you. Prime divided by one bliss. Ah, oui. You prime divided by C square. Well, in this region, we is the relative velocity between two observers. So we is the relative velocity between two observers and you is the velocity off an object relative to one observer. And, um and, uh, you crime eyes the velocity relative to the other observer. Well, uh, let's plug in the values. Uh, we equals minus 0.75 Several times. The speed of light less you prime is 0.500 times the speed of light divided by one minus, Uh, 0.75 several times to speed of flight multiplied by 0.500 times the speed of light divided by C square and simplifying we get you is equal to minus zero point for 00 times. Uh, the speed of light. Now let's all part B. Well, uh, if the canister is short directly of it from the earth, then we have Ah, you prime is a quote too. Minus 0.500 times the speed of light. Again, using you is equal to weep. Lis, you prime divided by one place the U prime divided by C Square. Let's look in the values. Uh, we have minus 0.750 times the speed of light minus a 0.500 times the speed of light divided by one, uh, because minus zero point 75 zero times the speed of light. Uh, multiply by minus 0.5 cereals. In times the speed of light divided by C square and simplifying you is equal to minus zero point mine 09 times the speed of light
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