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The force of gravity is the force exerted by the gravitational field of a massive object on any body within the vicinity of its surface


Acceleration due to gravity on earth is 9.8 m/s² 

The force of gravity depends on the weigh of the object. The weight of the object in Newtons IS the force of gravity on the object in Newtons. 
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Gravity is the force that pulls objects toward the Earth. The equation for the force of is 9.8 m/s^2
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