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consider the acceleration due to gravity, g, at a distance h from the center of a planet of mass m. If m is held constant, is g an increasing or decreasing function of h? why?
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There is an inverse square relation to the gravity due to acceleration on an object to it's distance from the center of a planet.
The equation representing this function, where Fg is Force of gravity, m1 and m2 are Mass 1 and Mass 2 and the r is the radius (distance from center of mass to center of mass).
And G is the gravitational constant.
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