Answer:
Time = 12.43 years
Mass = 4.71.43kg
Step-by-step explanation:
Given the following :
Distance = 8.7 light years
Speed = 70% the speed of light
Diameter = 6m
Lengtg = 25m
Density = 1 hydrogen atom/m^3
Mass of proton(Me) = 1.673x 10^-27
A.) time it takes your spaceship to reach Sirius :
From the relation: Speed = (distance / time)
Time = distance / speed
Time = (70/100) × 1 light year
Distance = 8.7 light years
Time = 8.7 / 0.7 = 12.4285 years
Time = 12.43 years
B.) Mass of inter-stellar gas that collides with the spaceship can be calcuted by finding the product of the surface area of the cylindrical space ship and the mass of proton.
That is ;
surface area * mass of proton
Surface area of a cylinder = 2πrh + πr^2×Me
= 2πrh + Me×πr^2)
=( 2 × 22/7 × 3 × 25) + (22/7 × 3^2 × 1.673 * 10^-27)
= 2× 235.714 + 28.285) × 1.673 * 10^-27
= 471.428 + 47.31 * 10^-27
= 471.428 + 4.73 × 10^-26
= 4.71.43kg approximately