Physics- Gravitational Force

Question

The mass of the earth is 5.98 × 1024 kg and the mass of the moon is 7.35 × 1022 kg. If the distance between the earth and the moon is 384,000 km, what is the gravitational force on the moon?

Answer 1

Gravitational Force Equals:

(Gravitational Constant) Times (Mass Of Earth) Times (Mass Of Moon)

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[(Radius Of Earth) Plus (Distance Between Earth & Moon)] Squared

Place values to write:

(6.6725985 × 10^-11) N•m²/kg² × (5.98 × 10²⁴) kg × (7.35 × 10²²) kg

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-----------------------[(6.37 × 10⁶ m) + (3.84 × 10⁸ m)]²-----------------------

Numbers & Dimensions in the last ratio reduce to 1.92455642 × 10²⁰ N or Newtons

where a Newton is a Kilogram-Dot-Meter Per Second-Squared or kg•m/s². That is

to say, one kilogram of mass is increasing in velocity by one meter per second for

every second that the mass is in motion.