JJohnson Yes it is true that the moon is falling around the Earth instead of falling towards the Earth. The ball park distance to the moon is 250,000 miles or 402336000 meters. The orbit in not a perfect circle but we can assume for simplicity.
g = G*Mass of Earth / radius^2
so the acceleration due to gravity at the surface is 32 ft/s^2 but it is 0.002388 m/s^2 or 0.007835 ft/s^2 where the moon is!
Acceleration is change in Velocity. Velocity has two components 1) Speed and 2) Direction. If either one changes you have acceleration!
A car going at 60 mph on a straight road has zero acceleration!
A car going at 60 mph on a curved road has acceleration because even thought the speed is 60 mph the directions is changing!
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g = the acceleration due to gravity (@ surface = 32 ft/s^2)
G = gravitational constant of the Universe
radius = distance from the center of the Earth to the Surface plus the distance from the Surface to the Moon.
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