The Planet Alpha (‘Alpha’) has the mass of M. Alpha has a Moon Beta (‘Beta’) whose mass is 0.05M. The mean difference between Alpha and Beta is R.   An asteroid is at point ‘x’ exactly ¼ away from Alpha in a straight line between the centres of Alpha and Beta: Calculate the value of the ratio: Force exerted on asteroid by Alpha? Force exerted on asteroid by Beta?   At what distance, expressed in terms of R, from Alpha, along a straight line joining the centres of Alpha and Beta, will the ratio expressed in part a be equal to 6400?   Point Y represents the distance from Alpha where the magnitude of the net gravitational force is zero. What is the distance in terms of R?  

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by tannat at February 29, 2012