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(a) At what relative velocity is $\gamma=1.50 ?$ (b) At what relative velocity is $\gamma=100 ?$
(a) $v=0.745 c$(b) $v=0.9999 \mathrm{c}$
Physics 103
Chapter 28
Special Relativity
Relativity
University of Michigan - Ann Arbor
University of Washington
University of Sheffield
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The relativistic factor is given by gamma is equal to one divided by square root off one minus. We divided by sea, whole square and gamma is equal to 1.5 zero. Well, let's sold for be the relative velocity. We is equal to see Time's screen. Rudolph one minus one divided by gamma, holds fear. Now let's Ah, let's plug in the value of karma. V is equal to see Time's square root off one minus. Ah, one divided by gamma and gamma is 1.501 point five cereal. We have a square as well, and therefore simplifying this relative velocity is equal to zero point about seven for five times the speed of light. Uh, this is one raisel to be have? Well, no, let's sold part B. Well, in part, be gamma is equal to 100. It's value is 100 and again using the is equal to see Times square. Root off one minus one, divided by gamma Hold square, and this gives us Ah, see time's square root off one minus one divided by 100 old square. And this is equal to, uh, excuse us. Um, zero point zero point mine, 999 times the speed of light
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