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$\bullet$ Two particles are created in a high-energy accelerator andmove off in opposite directions. The speed of one particle, asmeasured in the laboratory, is $0.650 c,$ and the speed of eachparticle relative to the other is 0.950$c .$ What is the speed of thesecond particle, as measured in the laboratory?
0.784$c$
Physics 101 Mechanics
Chapter 27
Relativity
Gravitation
Cornell University
Rutgers, The State University of New Jersey
University of Washington
McMaster University
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all right. So this problem, we have two particles that air flying off in opposite directions. A particle one which will say is going in the negative extraction and particle to, she'll say, is going in the positive extraction. And let's Assoc primed coordinates with a reference system that's attached to particle one. So what we want to know is the velocity of a particle, too, as measured in the lab, which we're using on primed coordinates for the lab frame. So from the perspective of the lab, the velocity of a particle one is a negative 10.65 psi. Negative, too, to know that it's in the negative X direction and from the perspective of that particle particle one particles to is traveling in the positive ex direction with the value 0.95 si. So now it's just a matter of plugging, um, values in Who's your 0.95 si minus 0.65 si over one minus 0.95 Time's your 0.65 and this comes out to 0.70. Foresee
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