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The force of gravity is a force and can be described in terms of any of the usual units of force.

However, since the force of gravity on an object depends on the object's mass, we need a way
to describe the gravitational 'field' without knowing the mass of each object. So we describe
the gravity, for example on the surface of the Earth, in terms of the acceleration of gravity there,
because any object near the surface but falling the rest of the way will have the same acceleration
regardless of its mass.

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Q: Which term is the measuerment for the force of gravity?
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