According to Newton's law of gravitation, the gravitational force is more if mass is more then why all objects fall towards earth with same acceleration?

Question

Answer

Because the acceleration produced by the earth on the object is given by
a=G×M/R^2
where G is the gravitational constant
M is the mass of the earth
and R is the radius of the earth.
Since the mass of the object is very less in front of earth, so it is not considered and the distance is considered almost negligible between the surface of the earth and the object.
But as the radius of the earth is not the same everywhere on earth, the acceleration produced is also not the same everywhere. It is maximum on the poles of the earth and minimum on the equator.

Answer

Maybe according to Newton's  law of gravitation the gravitational force is more if the  mass is more. but as we know that when an object is dropped from some height a uniform acceleration is produced in it by the gravitational pull off earth and this does not depends on the mass of the falling object.The uniform acceleration produced in a freely falling body due to the gravitational force of Earth is known as acceleration due to gravity ND it also doesn't depends on the mass so all the bodies ( whether heavy or light ) fall with the same acceleration towards the earth surface.This is what I knew ND according to me this can be the one reason

Answer

We are already on earth. ex. when we want to fly we cannot fly because gravitational force of earth attracts us towards it.

Answer

Yes, even it was tested at leaning tower of Pisa

Answer

Because acceleration of free falling body does not depend on mass of body

Answer

Introduction:
According to Newton's law of gravitation, the gravitational force between two objects is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers. This law explains why objects fall towards the Earth, but it may seem contradictory that all objects fall with the same acceleration regardless of their mass.

Explanation:
Gravitational Force:
The gravitational force between two objects depends on the mass of both objects. If the mass of one object is doubled, the gravitational force between them will also double. Therefore, it is true that the gravitational force is more when the mass is more.

Acceleration Due to Gravity:
The acceleration experienced by an object due to gravity is commonly referred to as the acceleration due to gravity (represented by the symbol 'g'). On the surface of the Earth, the value of 'g' is approximately 9.8 m/s^2.

Equation:
The force experienced by an object falling towards the Earth can be calculated using the equation: F = m * g, where F is the force, m is the mass of the object, and g is the acceleration due to gravity.

Equal Acceleration:
Although the gravitational force is greater for objects with higher mass, the acceleration experienced by all objects near the Earth's surface is the same. This can be explained by considering the equation F = m * a, where F is the gravitational force and a is the acceleration of the object.

When an object falls towards the Earth, the force acting on it is the gravitational force (F = m * g). According to Newton's second law of motion (F = m * a), this force is also equal to the mass of the object multiplied by its acceleration. Therefore, m * g = m * a.

Canceling Mass:
By canceling out the mass from both sides of the equation, we get g = a. This implies that the acceleration due to gravity is independent of the mass of the object. Consequently, all objects, regardless of their mass, fall towards the Earth with the same acceleration.

Conclusion:
In conclusion, although the gravitational force between two objects increases with their mass, the acceleration experienced by objects falling towards the Earth remains the same. This is because the mass cancels out when calculating the acceleration, resulting in a constant value for the acceleration due to gravity.

Answer

Negligible mass of the object in comparison to the mass of earth

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