Calculate Newton's Law Force to Keep Moon in Orbit

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SUMMARY

The discussion focuses on calculating the gravitational force required to keep the Moon in orbit around the Earth using Newton's Law of Universal Gravitation. The mass of the Moon is specified as 7.35 x 10^22 kg, and the distance from the Earth is 3.84 x 10^5 km, while Earth's mass is given as 5.98 x 10^24 kg. The formula used for the calculation is F = G * (m1 * m2) / r², where G is the gravitational constant. The participants confirm that this formula accurately represents the force necessary to maintain the Moon's orbit.

PREREQUISITES
  • Understanding of Newton's Law of Universal Gravitation
  • Familiarity with gravitational constant (G = 6.674 x 10^-11 N(m/kg)²)
  • Basic knowledge of mass and distance measurements in physics
  • Ability to perform calculations involving scientific notation
NEXT STEPS
  • Research the derivation of Newton's Law of Universal Gravitation
  • Explore the implications of gravitational force on orbital mechanics
  • Learn about the gravitational constant and its significance in astrophysics
  • Investigate the effects of varying mass and distance on gravitational force
USEFUL FOR

Students studying physics, educators teaching gravitational concepts, and anyone interested in celestial mechanics and orbital dynamics.

etSahcs12
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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.
 
Last edited:

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