Calculating The Acceleration of Gravity

Newton's second law of motion tells us that F=ma. We know that when it comes to gravitational force between two objects that

We can set these two equations equal to each other so that

Where m on the left hand side is equal to m1 on the right hand side, so these terms will cancel.

g on the left hand side is the acceleration of gravity

If we solve for g, we get an equation that gives us the acceleration due to gravity that acts on an object.

When you look at this equation you should notice immediately that the acceleration of gravity will change only with an object's distance from the earth. The objects mass will not effect the acceleration of gravity.

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