find answer plz hurry
i will mark as brainist
Answers
Explanation:
It’s a good question and I like that you tried to reason it out - and your thought process isn’t all that unexpected because it leads to what seems like should be a correct answer. But there are a couple of things to think about here. One, it isn’t velocity you want to know about, but acceleration. That is, the velocity of something that falls keeps changing - so you want to know about the rate at which it changes as a measure of how it falls. Two, the acceleration of an object in free fall can be obtained by combining Newton’s gravitational force law and his second law of motion.
Newton’s law of gravity definitely says that the mutual gravitational force between two objects is proportional to both masses and inversely proportional to the square of their separation. That is,
Near the surface of the Earth, that can be written
So, as you said, the gravitational force depends on the mass m of the object you dropped, where G is a constant, and M and R are the mass and radius of the Earth.
But if that is the only force that is acting on the mass you drop, then Newton’s second law says that the force must equal the mass of the object times its resulting acceleration - that is, F=ma or that the acceleration is given by a=F/m.
And that acceleration when an object is dropped near the surface of the Earth is independent of the mass of the object itself if there are no other forces. So in that absence of other forces, all objects fall with the same gravitational acceleration.
hopes it helps