Newton's law of universal gravitation states that the gravitational force F between two particles (each with mass mi and m2 , respectively) is given by mim2 F = G" p2 where r is the distance between the two particles and G is a constant known as “ the gravitational constant." If the two particles have equal masses mj = m2 = 6 dF dr : and dt dt kilograms, which of the following equations relating F, r, can be obtained by differentiating Newton's law of universal gravitation? dF -72G dr а) О dt dt dF 72G dr b) O dt p3 dt dF -72G dr c) O dt p3 dt dF dr d) O = 72Gr³ - dt %3D dt dF dr 6. dt dt

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