It seems that I have uncovered a great contradiction in modern thoughts on gravity. First, 2 statements that teachers have often used: 1) Gravity is dependent on the mass of an object. The higher the mass the stronger the gravitation field. 2) Two objects will fall to the earth with the same acceleration no matter what their mass. These two statement seem to contradict each other. The only possible resolution that i have come up with is that statement 2 is not actually correct. Instead there are slight differences in acceleration but these are not noticeable due to the infinitesimal mass of say a bowling ball and a feather compared to the earth as a whole. Does this mean that if there were another "earth" that had approximately the same mass and was dropped at the same time as the feather and the bowling ball, shouldn't the other "earth" fall at a much greater rate due to the immensely stronger gravitational field as opposed to the bowling ball or feather? I may be totaly out of it here but if anyone can shed some light onto this subject, I believe that it will make a most interesting conversation.