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Question

The sun and earth each exert a gravitational force on the Moon. what is the ration $$F_{sun}/F_{Earth}$$ of these two forces ( The average Sun-Moon distance is equal to Sun-Earth distance.)

Solution
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We use subscripts s,e. and m for the Sun, Earth and Moon, respectively. Plugging in the numerical values we find$$\dfrac{F_{sm}}{F_{em}}=\dfrac{Gm_{s}m_{m}/r^{2}_{sm}}{Gm_{e}m_{m}/r^{2}_{em}}=\dfrac{m_{s}}{m_{e}\left ( \dfrac{r_{em}}{r_{sm}} \right )^{2}}$$

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The sun and earth each exert a gravitational force on the Moon. what is the ration $$F_{sun}/F_{Earth}$$ of these two forces ( The average Sun-Moon distance is equal to Sun-Earth distance.)
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Q2

Compare the gravitational forces exerted by the sun and the moon on earth. Which exerts a greater force on earth ?
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Compare the gravitational forces exerted by the Sun and the moon on the Earth. Which one exerts a greater force on the Earth? (Given: mass of the Sun, Ms=4×1031kg, mass of moon, Mm=6.3×1022kg, distance between the Sun and the Earth,rse=1.3×1012m and the distance between moon and the Earth, rme =4.5×108m.

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Q5
Compare the gravitational forces exerted by the sun and the moon on earth. Which exerts a greater force on earth ?

Given:
Mass of sun, Ms=4×1031 kg
Mass of moon, Mm=6.3×1022 kg
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[3 Marks]
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