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(a) What is $\gamma$ it $v=0.250 c ?($ b) If $v=0.500 c ?$

(a) $\gamma=1.033$(b) $\gamma=1.155$

Physics 103

Chapter 28

Special Relativity

Relativity

Rutgers, The State University of New Jersey

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McMaster University

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we know that they're like mystic factor. It's given by Oh, come on is equal to one divided by square root off one minus Oh, the divided by C cold stare in this equation Oh, is oh, are the velocity and C is the speed of light? No, We is, uh, our relative velocity and sees the speed of light And in this case, oh V equals we is equal to 0.250 times speed off light. Now let's put this value in In the region, body for gamma is equal to one divided by our square root off our square root off one minus we we is, ah, zero point 25 zero divided by I see as well. So it's a 2.250 times. See ah, week is equal to 0.257 times C c is the speed of flight and then divided by sea square. And this gives us well, this gives us one divided by our square root off 01 minus zero point to five cereal, Our old square and therefore, uh, Goma eyes. He called to 1.0 tree tree. So the lad mystic factor when he is equal to 0.25 times. See, uh, is 1.0 tree tree. All right. No, uh, let's sold a part B Well. In part, B R V is equal to electrical. Lost is equal to a 0.500 times a speed of light again using equation Gamma logistic factor is equal to one divided by ah squared route off one minus Lee squared, divided by sea spare. Let's substitute we therefore one divided by our square root off one minus. We is Tzeitel 0.500 time. See whole square divided by C square, R C square and gum is equal to one divided by our square root off one minus um 0.500 all square. See squid gets canceled with C square and therefore gamma is equal to 1.11 point one Ah, fine. Five.

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