Distance between the centers of two stars is

PHYSICS · Subjective · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Distance between the centers of two stars is 10a10a. The mass of these stars are MM and 16M16M and their radii aa and 2a2a, respectively. A body of mass is fired straight from the surface of the larger star towards the smaller star. Its minimum initial speed to reach the surface of the smaller star is x(5GMa)x\left(\sqrt{\frac{5GM}{a}}\right). Find xx.

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