a. True
b. False
False, just because it's not physical, doesn't mean it's any less harmful than emotional.
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.
Approximately 999 years will pass on Earth while you are gone.
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.
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