Problem 27.38 A space probe is sent to the vicinity of the star Capella, which i

Question

Problem 27.38

A space probe is sent to the vicinity of the star Capella, which is 42.2 light-years from the earth. (A light-year is the distance light travels in a year.) The probe travels with a speed of 0.9980 c relative to the earth. An astronaut recruit on board is 19 years old when the probe leaves the earth.

Part A

What is her biological age when the probe reaches Capella, as measured by the astronaut?

Express your answer in years to three significant figures.

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Part B

What is her biological age when the probe reaches Capella, as measured by someone on earth?

Express your answer in years to three significant figures.

Problem 27.38

A space probe is sent to the vicinity of the star Capella, which is 42.2 light-years from the earth. (A light-year is the distance light travels in a year.) The probe travels with a speed of 0.9980 c relative to the earth. An astronaut recruit on board is 19 years old when the probe leaves the earth.

Part A

What is her biological age when the probe reaches Capella, as measured by the astronaut?

Express your answer in years to three significant figures.

SubmitMy AnswersGive Up

Part B

What is her biological age when the probe reaches Capella, as measured by someone on earth?

Express your answer in years to three significant figures.

Explanation / Answer

Here ,

part a) for the journey

time taken according to space probe = 42.2/(0.9980) * sqrt(1 - 0.9980^2)

time taken according to space probe = 2.67 years

her age = 19 + 2.67 = 21.7 years old

part b)

Now, for the journey back

her age = 21.7+ travel time

her age = 21.7 + 2.67

her age = 24.4 years

her age is 24.4 years

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