Question

You are on an interstellar mission from the Earth to the 8.7 light-years distant star Sirius. Your
spaceship can travel with 70% the speed of light and has a cylindrical shape with a diameter of
6 m at the front surface and a length of 25 m. You have to cross the interstellar medium with an
approximated density of 1 hydrogen atom/m3.
(a) Calculate the time it takes your spaceship to reach Sirius.
(b) Determine the mass of interstellar gas that collides with your spaceship during the mission.
Note: Use 1.673 1027 kg as proton mass.

I want the answer before saturday!!!!

Answer 1

Answer:

Explanation:

Calculate the time it takes your spaceship to reach Sirius:

t=  D/v   =  0.7c

D/0.7c   = 8.7c / 0.7c     =12.4 years.

(b) Determine the mass of interstellar gas that collides with the spaceship during the mission. The density of gas is 1 atom per cubic meter. The area of the front is

A= πd  ² /4

​The volume of space passed by the spaceship is

 V=AD=  πd ² D /4

The mass of the gas "eaten" by the spaceship's front is  

m=ρV=  ρπd²   D/4

​  m=  4

1.673⋅10  ⁻ ²⁷π6²   ⋅8.7⋅3⋅10  ⁸⋅365⋅24⋅3600

​ 

=3.89⋅10  ⁻⁹kg.

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