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Suppose an astronaut travels very fast from the Earth to the nearest star system, Alpha Centauri, located 4.30 light years (ly) away as measured by an Earth-bound observer. (a) How long does it take the astronaut to travel 4.30 ly at 0.99850 c (as measured by the Earth-bound observer)

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xero099

Answer:

a) [tex]t = 4.306\,years[/tex]

Explanation:

a) If the astronaut travels at 99.85 % of light speed, it means that 99.85 light years will be covered in one year. The time needed to reach Alpha Centauri is:

[tex]t = \frac{4.30\,ly}{0.9985}[/tex]

[tex]t = 4.306\,years[/tex]

a. The number of years for taking the astronaut to travel should be 4.309 years.

Calculation of the time taken:

Since the Alpha Centauri, located 4.30 light-years (ly) and it travel the 4.30 ly at 0.99850 c

So here the number of years should be

= 4.30 / 0.99850

= 4.309 years

hence, The number of years for taking the astronaut to travel should be 4.309 years.

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