From to newton's law of gravitation, derive the formula for the acceleration due to gravity.

Explanation

To derive the formula for the acceleration due to gravity (g) using Newton's law of gravitation, we can follow these steps:

### Step 1: Understand Newton's Law of Gravitation
According to Newton's law of gravitation, the gravitational force (F) between two masses (m1 and m2) is given by the formula:
\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]
where:
- \( G \) is the universal gravitational constant (\( 6.67 \times 10^{-11} \, \text{N m}^2/\text{kg}^2 \)),
- \( m_1 \) is the mass of one object (for example, the Earth),
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