Interstellar space, far from any stars, is filled with a very low density of hydrogen atoms (H, not H2). The number density is about 1atom / cm3 and the temperature is about 3K.
In certain region of space, the density of hydrogen atoms is 2 atoms / cm3 . Estimate the number of collisions experienced by the spherical interstellar ship of diameter of 260m moving at the 50% of the speed of light in the interstellar space in 1second of its motion.
Give your result in millions of collisions (106) to the nearest tenth. (e.g. For a result of 12 345 678.90 collisions, input 12.3)
Take the speed of light to be 300000km/s.
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