FYKOS Year 30 Series 6 Problem 2 — accidental drop · FYKOS 30 #30.6.2
Physics · mechanics · electromagnetism
Problem
From what height would we need to "drop" an object on a neutron star to make it land with a speed 0,1 c (0,1 of speed of light). Our neutron star is 1.5 times heavier than our Sun and has diameter d=10km. Ignore both the atmosphere of the star and its rotation. You can also ignore the correction for special relativity. However, do compare the results for a homogenous gravitational field (with the same strength as is on the star surface) and for a radial gravitational field. Bonus: Do not ignore the special relativity correction.