A 28 year-old biologist makes a trip to study life forms in a distan.pdf

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A 28 year-old biologist makes a trip to study life forms in a distant planet 17 light-years away. The round trip including a stay of 1 year in the distant planet takes 38 years according to the clock on earth. The biologist\'s son is 2.0 year-old when she left. Assume that the planet is not moving with respect to earth. How fast is the spaceship traveling? Give your answer in terms of the speed of light. You do not need to enter \"c\" as unit. How old is she when she returns according to her clock?How old is her son according to the clock on earth? What is the total distance traveled according to the biologist? Give your answer in light-years. You do not need to enter the units. Solution As it takes 38 - 1 = 37 years for the biologist to make the trip Speed = 17 / 38 = 0.45 c Time dialation that is occurred t\' = t * sqrt(1 - (v2/c2)) t\' = 37 * sqrt(1 - 0.452) = 33.04 years Biologists age = 28 + 33.04 + 1 = 62.04 years Her son\'s age = 2.0 + 38 = 40 years.

A 28 year-old biologist makes a trip to study life forms in a distant planet 17 light-years away.
The round trip including a stay of 1 year in the distant planet takes 38 years according to the
clock on earth. The biologist's son is 2.0 year-old when she left. Assume that the planet is not
moving with respect to earth. How fast is the spaceship traveling? Give your answer in terms of
the speed of light. You do not need to enter "c" as unit.
How old is she when she returns according to her clock?How old is her son according to the
clock on earth?
What is the total distance traveled according to the biologist?
Give your answer in light-years. You do not need to enter the units.
Solution
As it takes 38 - 1 = 37 years for the biologist to make the trip
Speed = 17 / 38 = 0.45 c
Time dialation that is occurred t' = t * sqrt(1 - (v2/c2))
t' = 37 * sqrt(1 - 0.452) = 33.04 years
Biologists age = 28 + 33.04 + 1 = 62.04 years
Her son's age = 2.0 + 38 = 40 years

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