(a)Derive an expression for the universal law of gravitation in detail.
(b)What happens to the force between two objects, if (i) the mass of one object is doubled? (ii)
the distance between the objects is doubled and tripled
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The force is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. In equation form, this is F=GmMr2 F = G mM r 2 , where F is the magnitude of the gravitational force. G is the gravitational constant, given by G = 6.673 × 10−11 N·m2/kg2.
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