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The Voyager I spacecraft has traveled farther than any other man-made object, and in August 2012 it entered into interstellar space when it was a distance of 1.8 x 10^13 m from Earth.

How many hours elapse between the time a command is sent from Earth and the time the command is received by Voyagerwhen it entered interstellar space? Express your answer using two significant figures.

Respuesta :

skyluke89

Answer:

17 h

Explanation:

The command sent to the Voyager I is a radio wave signal, which travels at the speed of light:

[tex]c=3.0\cdot 10^8 m/s[/tex]

The distance between the Voyager I and the Earth is

[tex]d=1.8\cdot 10^{13} m[/tex]

So, the time taken for the signal to reach the probe is

[tex]t=\frac{d}{c}=\frac{1.8\cdot 10^{13} m}{3\cdot 10^8 m/s}=60,000 s[/tex]

Consindering that the number of seconds in 1 hour is

[tex]60\cdot 60 = 3600 s[/tex]

Then the time elapsed converted into seconds is

[tex]t=\frac{60000 s}{3600 s}=16.7 h \sim 17 h[/tex]