The gravitation force and weight.
All objects are attracted to the Earth. The attractive force exerted by the earth on an object is called the gravitation force. This force is directed toward the center of the Earth. and it's magnitude is called the weight of the object.
we saw in section 2.6 that a freely falling object experience an acceleration acting toward the center of the Earth.
Applying Newton's law to a freely falling object of mass.
being defined as the magnitude. Because it depends on g , weight varies with geographic location.