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/m.
(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 x 10-27 kg as proton mass.
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The time taken for the spaceship to reach is equal to12.42 years
Explanation:
- I. 1 light year is the time taken by light to cover a certain distance. So 8.7 light year is the distance covered by light in 8.7 years.
- If the spaceship could travel at the speed of light then it would take 8.7 years.
- Since it is travelling at 70% of the speed the time taken to reach is equal to 8.7/0.7= 12.42 years
- The volume of the spaceship is equal to πr²h = 3.14 x 9 x25 m³
- the number of hydrogen atom present in such volume is equal to 3.14 x 9 x25
- The weight of such hydrogen atoms are= 3.14 x 9 x25 x1.673 x10^-27 kg=
1.181 x10^-23 kg
To know more,
Swati kept a laboratory thermometer in hot water for some time and
...https://brainly.in/question/1508742
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