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# What is the size of the gravitational force acting on the sun due to the earth?

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To calculate the size of the gravitational force acting on the sun due to the earth we can use Newton's law of gravitation:

$F=G \frac{Mm}{R^2}, \tag{1}$

With masses $M=1.989\times 10^{30} \ \mathrm{kg}$ for the Sun, and $m=5.972\times 10^{24}\ \mathrm{kg}$ for the Earth at a distance of $150\times 10^9$ m, we can calculate the force:

\begin{align*} F&=6.674\times 10^{-11} \cdot \frac{1.989\cdot 5.972\times 10^{54} }{150^2\times 10^{18} }\\ &= \boxed{ 3.523 \times 10^{22} \ \mathrm{N}.} \end{align*}

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