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A space probe is sent to the vicinity of the star Capella, which
is42.2 light years from the earth. (A light year is the
distancelight travels in a year.) The probe travels with a speed
of0.9910c. An astronaut recruit on board is 19 yearsold
when the probe leaves the earth. What is her biologicalage when the
probe reaches Capella?

Respuesta :

Answer:

24.70 yrs

Explanation:

Using length contraction formula

where v = 0.9910c, Lo = 42.2 light years

L = L₀ [tex]\sqrt{1 - \frac{v^{2} }{c^{2} } }[/tex] = 42.2  [tex]\sqrt{1 - \frac{0.9910c^{2} }{c^{2} } }[/tex] = 5.649 yr

to= [tex]\frac{L}{v}[/tex] = 5.649 c.yr / 0.9910c  = 5.70yrs

the biological age of Capella = 19 + 5.70 yr = 24.70 yrs

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