Question

Give scientific reason.
Why an object falls freely to the ground, its acceleration is uniform.

Answer 1

Hint :To solve this question we have to know about Newton's gravitational law. We know that Newton's law of universal gravitation states that every particle attracts every other particle in the universe with a force which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.

Complete Step By Step Answer:
We know that, the gravitational force is given by,
 $ F = G\dfrac{{{m_1}{m_2}}}{{{{(R + h)}^2}}} $
Here F is the force
G is the gravitational constant.
 $ {m_1} $ is the mass of one object
 $ {m_2} $ is the mass of the second object.
h is the height.
From the above equation we can say,
 $ F\alpha \dfrac{1}{{{{(R + h)}^2}}} $
Since $ R > > h $ so, the height can be neglected.
Thus, we can say, the gravity acting on a freely falling object is constant. The acceleration due to gravity is also constant. When an object falls freely its acceleration is constant because in a free fall the acceleration does not depend on the mass of the body. The uniform acceleration Is produced due to gravitational force as long as air resistance can be ignored and the object stays near enough to the earth’s surface. Thus a free falling body falls.

Note :
We also have to know that, According to the Universal law of gravitation, the force between two bodies is directly proportional to their masses and inversely proportional to the square of the distance between them. Mathematically, it is represented as follows: G is the Universal Gravitation Constant.