The gravitational force between two point masses m1 and m2 and separation r is given by F=G[(m1

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The gravitational force between two point masses m1 and m2...

The gravitational force between two point masses $\mathrm{m}_{1}$ and $\mathrm{m}_{2}$ and separation $\mathrm{r}$ is given by $\mathrm{F}=\mathrm{G}\left[\left(\mathrm{m}_{1} \mathrm{~m}_{2}\right) / \mathrm{r}^{2}\right]$ The constant $K \ldots \ldots$ (A) Depends on system of units only. (B) Depends on medium between masses only. (C) Depends on both (a) and (b) (D) is independent of both (a) and (b)

The gravitational force between two point masses $\mathrm{m}_{1}$ and $\mathrm{m}_{2}$ and separation $\mathrm{r}$ is given by $\mathrm{F}=\mathrm{G}\left[\left(\mathrm{m}_{1} \mathrm{~m}_{2}\right) / \mathrm{r}^{2}\right]$ The constant $K \ldots \ldots$
(A) Depends on system of units only.
(B) Depends on medium between masses only.
(C) Depends on both (a) and (b)
(D) is independent of both (a) and (b)

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Key Concepts

Newton's Law of Universal Gravitation

This fundamental law describes the gravitational interaction between two masses, asserting that each mass attracts the other with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between them. It provides the basis for understanding gravitational forces and lays the groundwork for topics in astrophysics and celestial mechanics.

Gravitational Constant (G)

The gravitational constant is an empirically determined constant that appears in Newton's law of universal gravitation. Its numerical value depends on the chosen system of units and serves as a conversion factor that ensures the equation yields force values in the correct units. It is independent of any medium between the masses, reflecting the invariant nature of gravitational interaction in vacuum.

System of Units

The system of units defines how physical quantities like mass, distance, and force are measured numerically. Constants in physics, such as the gravitational constant, take on different numerical values when different unit systems (like SI or CGS) are used. This highlights the importance of unit consistency when formulating and applying physical laws.

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