A spaceship is detected traveling at 0.8c with respect to Earth. It sends out tw

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?

(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

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 Gamma = 1/sq.root 1- beta^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 Beta = v/c ? (d) What is the value of

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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