You take a trip to a star located 1,000 light-years away and return. you travel at an average speed of 0.99c. hint: the time dilation formula is: t′=t1−(vc)2−−−−−−−−√. about how many years will pass on earth while you are gone?
Answers
Answer: 70712.44 ly
Using the following time dilation formula:
where is the time measured in the moving frame,
is the speed of the moving frame,
is the speed of light and
is time measured in other frame.
Inserting the values:
Therefore, when a trip to a star 1000 ly years away is made with speed 0.99 c, 70712.44 ly would have passed on Earth.
Final answer:
Approximately 999 years will pass on Earth while you are gone.
Explanation:
The formula for time dilation is t′ = t1 - (vc)2 / c.
To calculate how many years will pass on Earth while you are on this trip, we need to determine the time experienced by the astronaut and then use the time dilation formula.
According to the information provided, the astronaut travels at an average speed of 0.99c, so v = 0.99c. The star is located 1,000 light-years away, so t1 = 1,000 years.
Plugging these values into the time dilation formula, we get:
t′ = 1,000 years - (0.99c)2 / c = 1,000 years - 0.9801 years = 999.0199 years.
Therefore, approximately 999 years will pass on Earth while you are gone.
Learn more about Time dilation here:
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approaches you, the wavelength of the light you see is shorter
than the wavelength of the light that's actually emitted by the source.
Similarly, when you approach a sound source, or when the sound
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90° should have been provided in the problem. I encountered similar problem before.
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