1117_Physics ProblemsTechnical Physics

1117_Physics ProblemsTechnical Physics - 458 P39.73...

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458 Relativity P39.73 (a) LL L xy 0 2 0 2 0 2 =+ and LLL 222 . The motion is in the x direction: yy == 00 0 sin θ LL v c L v c xx =− F H G I K J F H G I K J 0 2 00 2 11 cos bg . Thus, v c v c 2 0 22 0 2 0 2 2 2 0 F H G I K J L N M M O Q P P += F H G I K J L N M M O Q P P cos sin cos θθ or v c F H G I K J L N M M O Q P P 0 2 2 0 12 1c o s . (b) tan tan θγ = L L L Lv c y x y x 0 0 2 0 1 P39.74 (b) Consider a hermit who lives on an asteroid halfway between the Sun and Tau Ceti, stationary with respect to both. Just as our spaceship is passing him, he also sees the blast waves from both explosions. Judging both stars to be stationary, this observer concludes that the two stars blew up simultaneously . (a) We in the spaceship moving past the hermit do not calculate the explosions to be simultaneous. We measure the distance we have traveled from the Sun as v c p F H G I K J = 1 6 00 1 0 800 3 60 2 2 .. . ly ly bgaf . We see the Sun flying away from us at 0.800 c while the light from the Sun approaches at
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