When a stone of mass `m` is falling on the Earth of mass `M`, find the acceleration of Earth if any?

Explanation

To find the acceleration of the Earth when a stone of mass `m` is falling towards it, we can use Newton's law of gravitation and Newton's second law of motion. Here’s a step-by-step solution:

### Step 1: Identify the forces acting on the stone and the Earth
When the stone falls towards the Earth, it experiences a gravitational force due to the Earth. According to Newton's law of gravitation, the force \( F \) acting on the stone can be expressed as:
\[ F = \frac{G \cdot M \cdot m}{r^2} \]
where:
- \( G \) is the gravitational constant,
- \( M \) is the mass of the Earth,
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