The mass of the moon is 7.36×1022kg and its distance to the Earth is 3.84×108m. What is the gravitational force of the moon on the earth? The moon's force is what percent of the sun's force?

Md Ariful Islam

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Md Ariful Islam

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Using Newton's gravitational force equation

$F=(Gm_1m_2)/(r^2)$

and assuming that the mass of is

$m_1=5.972*10^24kg$

and $m_2$ is the given mass of the moon with $G$ being

$6.674*10^-11Nm^2/(kg)^2$

gives $1.989*10^20 kgm/s^2$ for $F$ of the moon.

Repeating this with $m_2$ as the mass of gives

$F=5.375*10^27kgm/s^2$

This gives the moon's gravitational force as $3.7*10^-6%$ of the Sun's gravitational force.

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