Objects X and Y, shown below, are released fronm rest in outer space. The only force acting on the objects is their mutual gravitational attraction. The mass of X is one-half that of Y. With respect to the original rest frame, the magnitude of the acceleration of X is
(A) one-half that of Y
B) twice that of Y
C) equal to that of Y
D) directly proportional to the distance betweern X and Y
(E) directly proportional to the square of the distance between X and Y
Gravitational force Fg = GXY/r^2, r is the distance between the two masses.
The Attempt at a Solution
Using both equations, Xa=GXY/r^2. Acceleration of X is Simplified to a=GY/r2. And Ya= GX/r^2 simplified to a=GX/r^2= acceleration of Y. Substituting X=½Y
So the ratio if acceleration of X to that of Y would be twice as much,B. Is there something wrong?