How is G a constant if gravitational acceleration toward the earth is different from the moon regardless of mass? See details…?

Question

If an object accelerates toward earth at 9.8 m/s^2 at the surface regardless of mass and an object accelerates toward the moon at 1.622 m/s^2 at the surface regardless of mass then how is their a gravitational constant if an object that weighs 16.55 pounds on earth is accelerating toward the moon at 1.622 m/s^2 and an object that weighs 100 pounds on earth is accelerating toward the earth at 9.8m/s^2?

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General Physics RvTDLR 10 months 1 Answer 495 views 0

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Answer ( 1 )

  1. G, the gravitational constant, is constant everywhere.

    g = G * (mass of Earth) / (Radius of Earth)^2 = 9.81 m/s^2 is also a constant, but it isn’t relevant anywhere except at the surface of Earth.

    G * (mass of Moon) / (Radius of Moon)^2 = 1.62 m/s^2 should not be referred to as g.

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