Find the magnitude and direction of the total gravitational force exerted on the small star by the two large ones.

Anonymous
timer Asked: Dec 9th, 2018

Question description

Many stars in the sky are actually systems of two or more stars that remain together due to their mutual gravitational attraction. The figure below shows a three-star systems at an instant when the stars are at the vertices of a 45 degree right triangle. (For comparison, the mass of the sun is 1.99 x 10^30 kg and the earth-sun distance is 1.50 x 10^11 m). We assume that the stars are spherical so that we can replace each star by a point mass at its center. Find the magnitude and direction of the total gravitational force exerted on the small star by the two large ones.

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