Question

E=GMr/(r^2+R^2)^3/2 find dE/dr?​

Answer 1

Eg = F/m

Or, Eg = [- [GMm/r2]/m [latex]]\hat{r}[/latex]

⇒ Gravitational Field Intensity (Eg) = [- GM/r2][latex]\hat{r}[/latex]

Where hat r represents the unit vector along the radial direction,r=x\hat{i}+y\hat{j}+z\hat k represents the position vector of the test mass from the source mass.

The gravitational field intensity depends only upon the source mass and the distance of unit test mass from the source mass.

The unit of gravitational field intensity is N/kg.

The dimensional formula is given by [M0L1T-2].

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