Looking for the exact answer for this question and the solution. The practice pr

Question

Looking for the exact answer for this question and the solution.

The practice problem answer was 1.38E8, The correct solution should be something similar to this. Thank you

An observer in frame S standing at the origin observes two flashes of colored light separated spatially by Delta x = 4070 m. A blue flash occurs first, followed by a red flash 5 mu s later. An observer in S' moving along the x axis at speed v relative to S also observes the flashes 5 mu s apart and with a separation of 4070 m, but the red flash is observed first. Find the magnitude and direction of v. magnitude 1627. 99 m/s direction +x direction

Explanation / Answer

4070 = -1500(4070-1500B)/(1500-4070B)

4070/1500 *(4070B-1500) = 4070-1500B

2.7133*(4070B -1500) = 4070 -1500 B

11043.27B - 4070 = 4070 -1500 B

12543.27B = 8140

B= 0.659

v = 0.659*3*10^8 = 1.947*10^8 m/s

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