(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose that an event occurs in inertial frame S with cooridinates x=75 m y=18 m ,z=4.0 m and t=2.0*10^-5 seconds . The inertial frame S' moves in the +x direction with v=c*.85 . The origins of S and S' coincided at t=t'=0. a)what are the coordinates of the event in S' and b) Use the inverse transformation on the results of part(a) to obtain the original coordinates

2. Relevant equations

x=gamma*(x'+vt') , t=gamma*(t'+v*x'/c^2) , t'=gamma*(t'-v*x'/c^2) , x'=gamma*(x-vt)

gamma=1/sqrt(1-B^2) ; B=v/c)

3. The attempt at a solution

I didn't have a problem calculating the coordinates in part a, but I will display my results from part a nevertheless

a) gamma =1/sqrt(1-(.85)^2= 1.9

y'=y=18 m

z'=z=4 m

x'=1.9*(75 m-(.85c)(2.0e-5 sec))=-9547.00 m

t'=1.9*(2.0e-5 - (.85c)(75)/(c^2))= .00004 seconds

b) y=y'=18 m

z=z'= 4 m

x= 1.9*(-9547 m + (.85c)(.00004 sec)) = 1240.700

t=1.9*(.00004 seconds +(.85c)(-9547 m)/(c^2))= .00002

In part b,I don't understand why my calculations are incorrect for x , but not for t , z, or y

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# Homework Help: Inverse lorentz transformation question

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