Gravitational force:

$\overline{){\mathbf{F}}{\mathbf{=}}\frac{\mathbf{G}{\mathbf{M}}_{\mathbf{1}}{\mathbf{M}}_{\mathbf{2}}}{{\mathbf{R}}^{\mathbf{2}}}}$

Newton's second law:

$\overline{){\mathbf{F}}{\mathbf{=}}{\mathbf{m}}{\mathbf{a}}}$

Solving for a:

$\begin{array}{rcl}\overline{){\mathbf{M}}_{\mathbf{e}}}\mathbf{a}& \mathbf{=}& \frac{{\mathbf{GM}}_{\mathbf{s}}\overline{){\mathbf{M}}_{\mathbf{e}}}}{{\mathbf{R}}^{\mathbf{2}}}\end{array}$

G = 6.67 × 10^{-11} N•m^{2}/kg^{2}

Mass of the sun, M_{s} = 1.99 × 10^{31} Kg

What is free-fall acceleration toward the sun at the distance of the earth's orbit? Express your answer to two significant figures and include the appropriate units.

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Universal Law of Gravitation concept. You can view video lessons to learn Universal Law of Gravitation. Or if you need more Universal Law of Gravitation practice, you can also practice Universal Law of Gravitation practice problems.

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Based on our data, we think this problem is relevant for Professor McGahee's class at APP STATE.