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 × 100 27 kg as proton mass.
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And yet, as extraordinary as Voyager is, its efforts to reach out across space still seem quite puny. In 33 years, it has travelled 17.4 billion kilometres. That sounds a lot - and it is.
Explanation:
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