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Introductory Physics Homework Help
Relativity - velocity of object travelling perpendicular to the observer
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[QUOTE="struggles, post: 5471732, member: 579672"] [h2]Homework Statement [/h2] [LIST=1] [*]Two light beams collide head on. Calculate their relative velocity. [*](c) A particle moves north at speed 0.85c relative to an observer standing on the Earth. What is the velocity of this particle as observed by a fast ship traveling east on the Earth at speed 0.9c? Give the direction of travel with respect to a compass direction [/LIST] [h2]Homework Equations[/h2][h2]The Attempt at a Solution[/h2] 1) A little confused by this question. I thought that speed of light is a constant no matter what reference frame it is viewed from so their relative velocity would be just c? 2) So speed between inertial frames u = 0.9c. Gamma γ = 1/√1-u[SUP]2[/SUP]/c[SUP]2[/SUP] = 1/√0.19 However I'm unfamiliar with working with the velocity of the object perpendicular to the relative velocity between the frames. I've found V[SUB]y[/SUB]' = V[SUB]y[/SUB]/γ(1 - uV[SUB]x[/SUB]/c[SUP]2[/SUP] where the dash frame is the frame of the ship. For this question would i take V[SUB]x[/SUB] = 0 and V[SUB]y[/SUB] = 0.85c and just end up with V[SUB]y[/SUB]' = V[SUB]y[/SUB]/γ? There would then be only 'north' velocity and none in the east direction? [/QUOTE]
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Introductory Physics Homework Help
Relativity - velocity of object travelling perpendicular to the observer
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