During a solar eclipse, the Moon is positioned directly between Earth and the Sun. The masses of the Sun, Earth, and the Moon are 1.99×1030 kg, 5.98×1024 kg, and 7.36×1022 kg, respectively. The Moon's mean distance from Earth is 3.84×108 m, and Earth's mean distance from the Sun is 1.50×1011 m. The gravitational constant is ?=6.67×10-11 N·m2/kg2 . Find the magnitude ? of the net gravitational force acting on the Moon during the solar eclipse due to both Earth and the Sun. F = ? N

Principles of Physics: A Calculus-Based Text
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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During a solar eclipse, the Moon is positioned directly between Earth and the Sun.

The masses of the Sun, Earth, and the Moon are 1.99×1030 kg, 5.98×1024 kg, and 7.36×1022 kg, respectively. The Moon's mean distance from Earth is 3.84×108 m, and Earth's mean distance from the Sun is 1.50×1011 m. The gravitational constant is ?=6.67×10-11 N·m2/kg2 .

Find the magnitude ? of the net gravitational force acting on the Moon during the solar eclipse due to both Earth and the Sun.

F = ? N

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