Why does a heavy object not fall faster than a light object?

The force of gravity acting on an object near Earth's surface is proportional to the mass of the object. Why does a heavy object not fall faster than a light object?Why does a heavy object not fall faster than a light object?
yes, the force is proportional to the mass, but so is the acceleration. It cancels. It is the acceleration that is constant even though the force varies.





Gravitational attraction


F = G m₁m₂/r²


G = 6.67e-11 m³/kgs²


m₁ and m₂ are the masses of the two objects in kg


r is the distance in meters between their centers (center of mass)





F=ma





combine the two





ma = G m₁m₂/r²


mass cancels


a = Gm₂/r² where m₂ is the mass of the earth.





.Why does a heavy object not fall faster than a light object?
as you know heavy objects need more force to move them, suppose you have two objects one of them is 10 times heavier than the other one, so it need 10 times the force of the lighter on to move with the same acceleration, when they are both forced to gravity the heavier one faces a gravity force of ten times the lighter one but it needs 10 times the force to get the same acceleration. also you can understand this by equations:


since gravity acceleration is constant regardless of the object mass then any object under gravity will move with an acceleration of (g=9.8m/s^2).
Given the objects are the same size and shape a heavier object will fall faster due to its ';better'; drag coefficient and ability to achieve higher velocity during a drop in the earths atmosphere, saying objects fall the same because gravity acts on them with the same force is just a simplification that makes concepts easier to understand in Physics, also the drag effect is minimal at low speeds and has an increasing effect at much higher speeds needing a great distance to drop objects from which isn't really an easy setup for a classroom to observe.