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The same is true for gravitational force, negative work is done in moving our object away from infinity because it's attracted towards other masses. the work done in moving the two magnets towards each other is negative because they pull each other. If you're holding one magnet away from the other, it takes effort to keep them separated: if you were to let go of one it would move towards the other by itself, i.e. Think of 2 magnets, with opposing poles facing each other. The gravity equation in international trade is one of the most robust empirical finding in economics: bilateral trade between two countries is proportional.
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![gravity formula gravity formula](https://i.ytimg.com/vi/kI_r8zQAYf8/maxresdefault.jpg)
Also by definition, we know that the force of gravity is purely attractive, therefore rather than expending energy by moving our object from infinity to its current position, we release energy. However, we also know that V by definition is the work done in moving our object from 'infinity' (the hypothetical point at which gravity = 0) to its current position in space. Using our first eqn, we get: energy = work done = GMm/R, & therefore the magnitude of V for an object of mass m is GM/R. We know that energy = work done = force x perpendicular distance. We're looking to get to gravitational potential, denoted by ' V', which is defined as the gravitational potential energy per unit mass of an object as its current point in space. We know Newton's Law of Gravitation, which states that the force F between two bodies of masses M and m respectively, separated by distance R, can be given by: F = GMm/R 2where G is the gravitational constant.