Problem 6. [Gravitational interaction of two holes.] (extra credit) Consider a t

Question

Problem 6. [Gravitational interaction of two holes.] (extra credit) Consider a two spheres of interstellar gas in otherwise empty space shown in Figure (A) below. The only interaction you need consider is gravitational - obviously, the spheres will attract Now consider the opposite situation shown in Figure (B) there's a huge ('n finite') cloud on uniform interstellar gas, and within it there are two spheres of empty space. How are the empty spheres going to interact? Are they going to attract, repel, or not interact at all? Explain why. Don't rush with your answer, think carefully! You can neglect all other interactions- this is a purely gravitational problem.

Explanation / Answer

you can think like this way

i. Assuming the density of the gas is uniform, in the first case, the mass of each sphere is density times the volume.

ii. In the second case, you can think you have two identical spheres but the density is the same as that of gas but NEGATIVE. you have two spheres of negative mass with respect to the background gas.

The spheres would attract each other.

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