Consider a Planet-Moon-Star system like our Earth-Moon-Sun system, but with diff

Question

Consider a Planet-Moon-Star system like our Earth-Moon-Sun system, but with different masses and separation distances. At some point during their orbit, the location of the Planet and Moon relative to the Star will be as shown in the figure below for the Earth-Moon-Sun; at the instant shown, the three astronomical bodies form a right triangle, with the Moon located at the 90 degree angle. At this instant of time, what is the magnitude and the direction of the force experienced by the Moon due to the Star and the Planet combined? The mass of the Moon is 6.90 1022 kg, the Planet has a mass of 8.40 1024 kg, and the Star has a mass of 3.20 1030 kg. In the figure, the distance from the Moon to the Planet is 3.20 108 m and the distance from the Moon to the Star is 2.40 1011 m. magnitude N direction degrees below the Star-Moon line

Explanation / Answer

first there is no fig as given in ques but forces can be calculate since they are at rt angles gravitational forces = G m1m2/r^2 m1= mass of first body m2 = mass of second body G = gravitational cont r= distance btn centre of masses so find twp taking one bdy as source and find their resultant force direction

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