Calculate the force of gravitation between the earth and the Sun, given that the mass of the earth = 6 × 1024 kg and of the Sun = 2 × 1030 kg. The average distance between the two is 1.5 × 1011 m.


Answer :

Given data:

Mass of the sun ms = 2 × 1030 kg

Mass of the earth me = 6 × 1024 kg

Gravitation constant G = 6.67 x 10-11 N m2/ kg2

Average distance r = 1.5 × 1011 m

From Universal law of Gravitation

\( F = \frac{Gm_1 m_2 }{d^2} \ \)
\( \Rightarrow \ F = \frac{ 6.67 × 10^{-11} × 6 × 10^{24} × 2 × 10^{30} }{(1.5 × 10^{11})^2 } \ \)
\( \Rightarrow \ F =3.56 × 10^{23} N \)

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