The diameter of the solar system is 10light hours. A spaceship crosses the solar system in15 hours, as measured on earth. How long, in hours, does the passage take according to passengers on the spaceship?

Short Answer

Expert verified

In hours 11.18hrdoes the passage take according to passengers on the spaceship.

Step by step solution

01

Given Information 

We need to find time, in hours, does the passage take according to passengers on the spaceship.

02

Simplify

The rocket's velocity is given as :

v=1015c=2×108m/s

So, the time measured from earth is :

t'=t1-v2u2t'=151-2×10823×108m/s2t'=15×0.74565t'=11.18hr

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The diameter of the solar system is 10 light hours. A spaceship crosses the solar system in 15 hours, as measured on earth. How long, in hours, does the passage take according to passengers on the spaceship?

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