Question

Gravitational force acts on all objects in proportion to their masses why then a heavy object does not fall faster than a light object?

Comprehensible answer needed!!​

Answer 1

Answer:

You must be knowing,

G = m1×m2/r²

You must be seeing heavy objects fall faster than light objects

Take for example a tennis ball and a hair of an human

You will only notice that tennis ball falls faster than a hair

Another example can be of a leave and a glass

As per gravitational force only both the objects are behaving

If my answer doesn't satisfy you then you may report it.

Answer 2

Explanation of answer:-

By Newton's 2nd law of motion,we know that:-

=>Force = Mass × Acceleration

Where:-

=>Force ∝ Mass

=>Force ∝ Acceleration

As force is directly proportional to mass, acceleration is constant for a body of any mass.

In case of earth, acceleration due to gravity is 9.8m/s² (on an average) for a body of any mass, whether it is 5kg or 5000kg

Thus,this is the reason that a heavy object and a light object will fall simultaneously (in absence of air resistance)

Some Extra Information:-

Acceleration due to gravity: The acceleration of a body due to attraction of earth towards it's centre is called acceleration due to gravity.

It is represented by g.

If we drop a body of mass m from a height h,to the surface of earth(mass M, radius R) its speed will increase as it comes nearer to the surface of earth. Let h is very small as compared to R. The acceleration of the body is acceleration due to gravity(g). The force on the body is:-

=>Force = Mass×Acceleration

=>F = mg ----(1)

But this force on the body is due to force of gravity.

=>F = GMm/r² ---(2)

From (1) and (2) => mg = GMm/r²

Thus:-

=> g = GM/r²