Just do part b, other parts are seperate to award more points An alien spacccraf
ID: 1379301 • Letter: J
Question
Just do part b, other parts are seperate to award more points
An alien spacccraft is flying overhead at a great distance at you stand backyard. You see its searchlight blink on for 0.190 s. The first officer on the tpacecraft measures that the searchlight is on for 12.0 ms. (a) Which of these two measured time in the proper time? Explain your answer, (b) What is the speed of the spacecraft relative to I-arth expressed as a fraction of c? (c) A scientist on Earth measures (he length of the moving spacecraft to be 74.0 m. The spacecraft later lands on Earth and the same scientist measures the length of the now stationary spacecraft. What value does he get?Explanation / Answer
The searchlight switched on (Event 1) and switched off (Event 2) in the same place in the spacecraft frame of reference.
The time measured on the spacecraft is therefore the proper time. You are travelling at some velocity with respect to this frame, your measured time is therefore the dilated time.
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The dilated time is T = 190 ms, the proper time T0 is 12 ms
T = y T0
y = T / T0 = 190 / 12 = 15.8
beta = v / c = 1 - 1 / y2= 0.996
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