What is the vector form of the universal law | vedclass

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(D) The universal law of gravitation in scalar form is given by $F = G \frac{m_1 m_2}{r^2}$.To express this in vector form,we multiply the magnitude b

Vedclass · Accepted Answer

$\overrightarrow{F} = G \frac{m_1 m_2}{r^3} \overrightarrow{r}$

Vedclass · Answer

(D) The universal law of gravitation in scalar form is given by $F = G \frac{m_1 m_2}{r^2}$.To express this in vector form,we multiply the magnitude by the unit vector $\hat{r}$ in the direction of the force: $\overrightarrow{F} = G \frac{m_1 m_2}{r^2} \hat{r}$.Since the unit vector is defined as $\hat{r} = \frac{\overrightarrow{r}}{r}$,we substitute this into the equation:$\overrightarrow{F} = G \frac{m_1 m_2}{r^2} \left( \frac{\overrightarrow{r}}{r} \right)$.Therefore,the vector form is $\overrightarrow{F} = G \frac{m_1 m_2}{r^3} \overrightarrow{r}$.

What is the vector form of the universal law of gravitation?

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