Two objects of equal masses are at rest at a certain. If the distance between them is decreased by one fifth of the initial distance. Then what will be the change in force of attraction between the two objects
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The force acting between the 2 objects is the Gravitational attractive force. Now, gravitational force depends directly on the product of 2 masses and inversely upon the square of the distance between them i.e F=G(m1)(m2)/(r^2). So, since masses are kept constant, only the distance is changed. As force is inversely proportional to the square of the distance, on decreasing the distance by 1/5th, force will increase by 25 times.
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