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Consider an event with space-time coordinates (t=2.00s,x=2.50�108m)in an inertial frame of reference S. Let S' be a se...

Consider an event with space-time coordinates (t=2.00s,x=2.50�108m)in an inertial frame of reference S. Let S' be a second inertial frame of reference moving, in the positive x direction, with speed 2.70�108m/s relative to frame S. Find the value of gamma that will be needed to transform coordinates between frames S and S'. Use c=3�108m/s for the speed of light in vacuum.

Suppose that S and S' share the same origin; that is, at t = t' = 0, x = x' = 0. Using y (GAMMA FOUND WAS = 2.29), find x', the x coordinate of the event in frame S'.

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Solution: Expression for the gamma value is, (2.70x10* m/s) (3x10°m/s) = 2.29 The gamma value is 2.29 From the Lorentz transf

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