Calculate Newton's Law Force to Keep Moon in Orbit

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AI Thread Summary
To calculate the gravitational force keeping the Moon in orbit around the Earth, the relevant formula is F = G * (m1 * m2) / r^2, where G is the gravitational constant, m1 is the mass of the Earth, m2 is the mass of the Moon, and r is the distance between them. The mass of the Moon is 7.35 x 10^22 kg, the Earth's mass is 5.98 x 10^24 kg, and the distance from the Earth to the Moon is 3.84 x 10^5 km. Understanding the term "the force requisite to keep the moon in her orb" refers to this gravitational force is essential for solving the problem. The discussion focuses on clarifying the formula and its components to arrive at the solution. Ultimately, applying the formula will yield the gravitational force necessary for the Moon's orbit.
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Homework Statement



The mass of the moon is 7.35 x 10^22 kg and its distance from the Earth is 3.84 x 10^5 km. Taking Earth's mass to be 5.98 x 10^24, calculate what Newton called "the force resquisite to keep the moon in her orb."

mass of moon = 7.35 x 10^22 kg
distance from earth= 3.84 x 10^5 km
Earth's mass = 5.98 x 10^24

The Attempt at a Solution



First of all, i would like to know what Newton called "the force resquisite to keep the moon in her orb." means. Then maybe i will be able to figure out what the question is asking.
 
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Force=Gravitational constant*mass of the Earth*Mass of the moon/distance between them, squared.

I think this is the force in question.
 
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