In the Laws of Gravity by Galileo, we say that every object take equal time to fall if there's no air resistance. We always ignore that The Earth will also have acceleration due to that object also ! So, if we don't ignore that concept, Are Galileo's Laws of Gravity correct? Think once again, can you explain your logic behind your opinion?
Traditionally, Where, M=Mass of earth r=Distance between the object and the center of the earth
But in reality, earth will also have the acceleration due to the object of mass m. In that case, resultant acceleration, Here, = Acceleration due to earth (for the object) And, = Acceleration due to object (for the earth!) So,
Then, assume the earth is still. So, Relative (Actual) Acceleration of the object
The equation says that Heavy objects have greater relative acceleration compared to lighter objects. So, heavy objects falls earlier !
So, in reality, in actuality, Galileo's Laws aren't perfect!
But most of the time we ignore acceleration of the earth (Acceleration due to object) , which makes calculations simpler!