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

Glencoe Physics: Principles and Problems, Student Edition
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Author:Paul W. Zitzewitz
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Chapter7: Gravitation
Section: Chapter Questions
Problem 46A
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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,1.99×1030 kg, 5.98×1024 kg,5.98×1024 kg, and 7.36×1022 kg,7.36×1022 kg, respectively. The Moon's mean distance from Earth is 3.84×108 m,3.84×108 m, and Earth's mean distance from the Sun is 1.50×1011 m.1.50×1011 m. The gravitational constant is ?=6.67×10−11 N·m2/kg2.G=6.67×10−11 N·m2/kg2.

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

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