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... Energy is a force over a distance.

What do you mean by that ?

Work is defined as the amount of energy transferred to move an object over some distance.

Isn't gravity a force over a distance?

What differentiation is there between energy and gravity here if gravity is not a force over a distance?

Since gravity is a force however, you can use it to increase the energy of a mass. If a 1 kg mass falls for 1 second it will have a velocity of about 10 m/s, so at that point the 1 kg mass will have about 50 joules of KE.

In Newtons model gravity is a force it is not energy

We still see a simple relationship with your equation and that of gravitational potential energy.