It is said that Mass does not interfere(has no role) on the free fall of a particle but we know if force is constant then acceleration is inversely proportional to mass hence more the mass more the acceleration..... This is contradicting plz clear it.
It is said that Mass does not interfere(has no role) on the free fall of a particle but we know if force is constant then acceleration is inversely proportional to mass hence more the mass more the acceleration..... This is contradicting plz clear it.
Mass not affect the acceleration of a body under free fall. All objects in free fall have the same acceleration, so that if 2 objects of different mass are dropped off of a building (in a vacuum) simultaneously, they will hit the ground at the same time.
The acceleration of a body is proportional to the force acting on it, and inversely proportional to its mass:
a=Fma=Fm
So for a constant force, a less massive object will accelerate more quickly than a more massive object.
According to Newton's law of gravitation, the force between 2 bodies is proportional to the product of the body masses and inversely proportional to the square of the distance between the bodies:
F=Gm1m2r2F=Gm1m2r2
where G is the gravitational constant. On Earth, the m1m1term is the mass of the Earth and the rr term is the radius of the Earth, so the equation for the force between an object and the Earth simplifies to:
F=mgF=mg
where m is the mass of the object. The term ggis the gravitational acceleration on Earth which is 9.81 m/s^2. The force in the equation above is just the weight of the object (on Earth).
Note that the more mass an object has, the harder the Earth pulls on it. A more massive object will have a lower acceleration than a less massive object under the same force -- BUT the Earth pulls harder on the more massive object to compensate.
a=Fm=mgm=ga=Fm=mgm=g
So if you have 2 objects that are *only* acted on by the force of gravity, their accelerations will be identical and will be equal to Earth's gravitational acceleration, 9.81 m/s^2. In the real world (i.e. not in a vacuum), you have things like drag to worry about, so 2 unique objects of different masses and areas dropped off of a building will not actually accelerate at the same rate.
Mass not affect the acceleration of a body under free fall. All objects in free fall have the same acceleration, so that if 2 objects of different mass are dropped off of a building (in a vacuum) simultaneously, they will hit the ground at the same time.
The acceleration of a body is proportional to the force acting on it, and inversely proportional to its mass:
a=Fma=Fm
So for a constant force, a less massive object will accelerate more quickly than a more massive object.
According to Newton's law of gravitation, the force between 2 bodies is proportional to the product of the body masses and inversely proportional to the square of the distance between the bodies:
F=Gm1m2r2F=Gm1m2r2
where G is the gravitational constant. On Earth, the m1m1term is the mass of the Earth and the rr term is the radius of the Earth, so the equation for the force between an object and the Earth simplifies to:
F=mgF=mg
where m is the mass of the object. The term ggis the gravitational acceleration on Earth which is 9.81 m/s^2. The force in the equation above is just the weight of the object (on Earth).
Note that the more mass an object has, the harder the Earth pulls on it. A more massive object will have a lower acceleration than a less massive object under the same force -- BUT the Earth pulls harder on the more massive object to compensate.
a=Fm=mgm=ga=Fm=mgm=g
So if you have 2 objects that are *only* acted on by the force of gravity, their accelerations will be identical and will be equal to Earth's gravitational acceleration, 9.81 m/s^2. In the real world (i.e. not in a vacuum), you have things like drag to worry about, so 2 unique objects of different masses and areas dropped off of a building will not actually accelerate at the same rate.
