Newton's law of gravitation is an inverse square law in which the field is a vector   where little g is the magnitude of the gravitational field,  M is the mass responsible for the gravity,  R is the distance to its center from the point of interest, and the little unit vector   points toward the mass M from the point.  Big G is Newton's constant of gravitation. When you know the gravitational field, how do you find the force on a mass m located at that point?       The force is        The force is a vector   with a minus sign because it is attracting toward M     The force is the same as the vector field, that is       The force is the mass being attracted times the field of the source of gravity, or

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Newton's law of gravitation is an inverse square law in which the field is a vector

 

where little g is the magnitude of the gravitational field,  M is the mass responsible for the gravity,  R is the distance to its center from the point of interest, and the little unit vector   points toward the mass M from the point.  Big G is Newton's constant of gravitation.

When you know the gravitational field, how do you find the force on a mass m located at that point?

 

   

The force is   

   

The force is a vector   with a minus sign because it is attracting toward M

   

The force is the same as the vector field, that is  

   

The force is the mass being attracted times the field of the source of gravity, or   

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