How far from Earth must a body be along a line towards the Sun so that sun's gravitational pull on it balances that of Earth. Distance between Sun and Earth's center is 1.510¹⁰km. Mass of Sun is 3.2410⁵times mass of Earth.

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Solution

Considering F_S be the Gravitational force on the earth by the sun while F_Ebe the gravitational pull by the earth on the sun. And

Let r be the distance between the body and the centre of the Earth such that F_S = F_E.
GM_sm/r_s²= GM_em/r_e²
^{On substituting the given values we can get the desired result}
r = 2.61 Ã— 10⁸ m

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How far from Earth must a body be along a line towards the Sun so that sun's gravitational pull on it balances that of Earth. Distance between Sun and Earth's center is 1.5*1010km. Mass of Sun is 3.24*105times mass of Earth.

How far from Earth must a body be along a line towards the Sun so that sun's gravitational pull on it balances that of Earth. Distance between Sun and Earth's center is 1.510¹⁰km. Mass of Sun is 3.2410⁵times mass of Earth.