Question

Though the gravitational force experienced by both an apple and the Earth is same, the earth does not appear to move towards the apple.

Answer 1

Answer:

because the mass of Earth is much larger than the apple

Answer 2

This is because the mass of the earth is very large when compared to the apple, or the mass of the apple is negligible when compared to that of the earth.

This can be proved easily. Well, by Newton's Second Law of Motion, we know the expression for force.

F = ma

From this, the acceleration will be,

a = F / m → (1)

Well, the gravitational force acting between the earth and the apple is same in magnitude for them. Thus we can say that gravitational force is constant for them.

Thus, from (1), we get that acceleration is inversely proportional to mass at constant force.

$a\propto\dfrac {1}{m}$

Thus, for greater mass, acceleration is very small and negligible, and for lighter mass, acceleration is greater.

Since the mass of the earth is very large, its acceleration is infinitesimally small, and for apple it is higher. This is why apple attracts towards earth but the converse does not happen.

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