A spaceship is detected traveling at 0.8c with respect to Earth. It sends out tw
ID: 1324079 • Letter: A
Question
A spaceship is detected traveling at 0.8c with respect to Earth. It sends out two flashes of light 10 minutes apart. We want to determine the time between the signals received when they reach Earth.
(a) Who measures the proper time interval, observes on the ship or on Earth?
(b) What is the value of the proper time interval?
(c) What is the value of ?=v/c ?
(d) What is the value of ? = 1/?[1-? 2 ]?
(e) Determine the time interval between when the signals were sent according to Earthbased clocks.
(f) Determine the time interval between reception of the signals on Earth
Explanation / Answer
a. observer on earth
b. Proper time interal t = 10 mins
c. B = 0.8 c/c = 0.8
d. gamma = 1/sqrt(1-0.8^2)
gamma = 1.667
e. t = 10 min*1.67
t = 16.67 min
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