The Sun and Earth each exert a gravitational force on the Moon. What is the ratio `F_("sun")//F_("Earth")` of these two forces? (The average Sun-Moon distance is equal to the Sun Earth distance.)

Explanation

To find the ratio of the gravitational forces exerted by the Sun and the Earth on the Moon, we can use Newton's law of universal gravitation, which states that the gravitational force \( F \) between two masses is given by:

\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]

where \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between their centers.

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