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When a spacecraft is launched from the earth toward the sun, at-(Answered)

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When a spacecraft is launched from the earth toward the sun, at what distance from the earth will the gravitational forces due to the sun and the earth cancel? Earth's mass is 5.97 ? 1024 kg, the sun's mass is 1.99 ? 1030 kg, and the Earth-sun distance is 1.5 ? 1011 m.
Let the distance from earth be x for the two forces to be equal and let m1= mass of earth,

 

m2=spacecraft mass & m3=sun mass at that point

 

F = G(m1m2)/(r)2. = G(m2m3)

 

so G(m1m2)/(x)2=G(m2m3)/(...

 

Paper#9209764 | Written in 27-Jul-2016

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