The force with which the Earth attracts an object is called :

The gravitational force with which the Earth attracts an object is defined as the weight of the object, given by W = mg, where m is the mass and g is the acceleration due to gravity. Weight is a force measured in newtons. Mass is the amount of matter in the object (measured in kg), density is mass per unit volume, and 'magnitude' is not a physical property of an object.