Correct form of gravitational law is (A) F=-[(Gm1 m2) / r^2] (B) F^-=-[(Gm1 m2) / r^2] (C) F^-

step 1 We have to choose the correct format of gravitational law is that gravitational force f is equal

Correct form of gravitational law is (A) F=-[(Gm1 m2) /...

Correct form of gravitational law is (A) $\mathrm{F}=-\left[\left(\mathrm{Gm}_{1} \mathrm{~m}_{2}\right) / \mathrm{r}^{2}\right]$ (B) $\mathrm{F}^{-}=-\left[\left(\mathrm{Gm}_{1} \mathrm{~m}_{2}\right) / \mathrm{r}^{2}\right]$ (C) $\mathrm{F}^{-}=-\left[\left(\mathrm{Gm}_{1} \mathrm{~m}_{2}\right) / \mathrm{r}^{2}\right] \hat{\mathrm{r}}$ (B) $\mathrm{F}^{\rightarrow}=-\left[\left(\mathrm{Gm}_{1} \mathrm{~m}_{2}\right) / \mathrm{r}^{3}\right] \mathrm{r}^{-}$

Correct form of gravitational law is
(A) $\mathrm{F}=-\left[\left(\mathrm{Gm}_{1} \mathrm{~m}_{2}\right) / \mathrm{r}^{2}\right]$
(B) $\mathrm{F}^{-}=-\left[\left(\mathrm{Gm}_{1} \mathrm{~m}_{2}\right) / \mathrm{r}^{2}\right]$
(C) $\mathrm{F}^{-}=-\left[\left(\mathrm{Gm}_{1} \mathrm{~m}_{2}\right) / \mathrm{r}^{2}\right] \hat{\mathrm{r}}$
(B) $\mathrm{F}^{\rightarrow}=-\left[\left(\mathrm{Gm}_{1} \mathrm{~m}_{2}\right) / \mathrm{r}^{3}\right] \mathrm{r}^{-}$

Key Concepts

Inverse-Square Law

The inverse-square law is a principle that states the effect of a physical quantity (like gravitational force) diminishes proportional to the square of the distance from its source. This relationship is key in accurately describing how the intensity of gravitational attraction decreases as the distance between two bodies increases.

Unit Vector

A unit vector is a vector with a magnitude of one that specifies the direction of a vector quantity. In formulations like the gravitational force law, the unit vector is used to denote the direction of the gravitational force, ensuring that the expression correctly reflects the attractive nature of the interaction.

Newton's Law of Universal Gravitation

This law states that every two bodies in the universe attract each 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 forms a fundamental principle in classical mechanics, explaining how gravitational interactions govern the motion of objects from falling apples to planetary orbits.

Vector Representation in Physics

In physics, forces are often represented as vectors, which incorporate both magnitude and direction. This is crucial in the context of gravitational forces because it accurately describes not just the strength of the force but also its direction, indicating that the force acts along the line connecting the centers of two masses.

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