tional Attraction Many physical phenomena obey inverse square laws That is the strength of the quantity is inversely proportional to the square of the distance from the source Isaac Newton was the first to discover that gravity obeys an inverse square law The gravitational force F between objects of masses M and m separated by a distance GMm D is given by F where G is a constant D Suppose that two stars Alpha Major and Beta Minor are separated by a distance of 6 light years Alpha Major has four times the mass of Beta Minor Let M represent the mass of Beta Minor Suppose that an object represented by point P of mass m is placed between the two stars at a distance of D light years from Beta Minor Write an expression for the gravitational force between this object and Beta Minor Write an expression for the gravitational force between this object and Alpha Major What is the distance of a neutral position of the object P with mass m from Beta Minor At neutral position both Beta Minor and Alpha Major exert equal force on point P Beta Minor V 6 light yr Alpha Major A spaceship is stationary between a planet and its moon experiencing an equal ravitational pull from each When measurements are taken it is determined that the aft is 300 000 km from the planet and 100 000 km from the moon What is the ratio of the mass of the planet to the mass of the moon What would be the ratio of their masses if the distance of the spaceship from the