PCB Heaven
General Category => Maths, Geometry, Physics and others => Topic started by: Keep_in_mind on March 26, 2008, 05:23:52 AM

About free fall. It is said that if you leave a ball weight like 100grams and a ball weight 100Tons from the same height the same moment, they will both fall the same time with the same speed on the ground.
Can this be true? ???

W=m*g (1) where W=weight of an object , m=mass and g=acceleration of gravity.
The motion of this object as described by Newtons 2nd law is caused by a force F that is
F=m*a (2)
In case ONLY of free falling (this means that no other F occurs, not even resistance of air) the force that causes the movement is only the weight so
F=W
so (1) because of (2) becomes
m*a=m*g
Dividing both by m gets
a=g
What this means is that the acceleration of an object during free falling (a) is ONLY affected by g. No mass in the formula.
In other words, if you throw a nail and a tank from the 15th floor of a building and there is no air or any other force except gravity, they will fall down the same time with the same speed. Strange e? And because maths proves it, it is also true.

Very scientific and very persuasive

It is proven by maths => It is true

I did some test from my roof. It is about 36Ft height. It looks like is is true. Some slight differences due to air drag.