Is it possible for an object's weight to change while its mass remains constant? Explain

An object's weight can change, depending on its location, relative to the object of discussion. For example, we don't notice the change, but the farther away we are from Earth's core, the less we weigh. This means one would weigh more in a valley than they would on a mountain. The formula for gravity is F=G ((msub1) (msub2) / r^2), where F is the force of attraction, G is the universal gravitational constant, msub1 is the mass of the first object, msub2 is the mass of the second object, and r is the distance between the two objects.