phys question relativity 10

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A space ship traveling east flies directly over the head of an inertial observer who is at rest on the earth's surface. The speed of the space ship can be found from this relationship: .

Reference: Ref 28-5

The pilot fires an ion gun that propels ions from the space ship at 1.0 × 108 m/s relative to the ship. What is the speed of the ions as measured by the earth observer?
Question 10 options:
. = Ref#
Jul 9th, 2015

Thank you for the opportunity to help you with your question!

sqrt(1-(u/c)^2) = 1/2 

1-(u/c)^2 = 1/4 

(u/c)^2 = 3/4

u = sqrt(3)/2 c

v = (v'+u)/(1+uv/c^2) 

v'/c = 1/3 

v = {1/3 +sqrt(3)/2}/(1+1/3*sqrt(3)/2} c

= {1/sqrt(3) +3/2}/{sqrt(3) +1/2} c= {2+3sqrt(3)}/{6+sqrt(3)} c =    0.931 c = 2.79x10^8 m/s 

 answer is 1)


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Jul 9th, 2015

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