Answer in detail VII — task. Science State Board, Class 10.

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State the universal law of gravitation and deduce its mathematical expression.

Newton’s universal law of gravitation:

This law states that,

The force between the particles is always , and it where they are placed.

Let

$m_1$ and

$m_2$ be the masses of two bodies

$A$ and

$B$ , placed

$r\ metre$ apart in space.

$\begin{array}{l} F α i_{i} \times i_{i} \\ F α \frac{i}{i^{i}} \end{array}$

On combining the above two expressions,

$\begin{array}{l} F α \frac{i_{i} \times i_{i}}{i^{i}} \\ F = \frac{{i \times i}_{i} \times i_{i}}{i^{i}} \end{array}$

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29. Answer in detail VII