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Classical Mechanics

(15%) Two particles move about each other in circular orbits under the influence of gravitational forces, with a period To. Their motion is suddenly stopped and then allowed to fall into each other. They collide after a time T. Calculate the ratio T /To

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Answer #1

Here, ratio T1/To =   time for collision/time for rotation

                               = [(r)/v]/[2pi * r/1.414v]

                              =   1.414/2pi

                                = 0.2251

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