F 1 and F 2 are the gravitation acting on a mass -m- due to Earth of mass -M- radius R and uniform density - when placed outside and inside the Earth-s surface at a distance -r- respectively then F 1- F 9 is

F_1/F_2 = mE_1/mE_2 =E_1/E_2 Gravitational field =GM/r^2/ ( GMr/R^3 ) = R^3/r^3 = ( R/r )^3 ...

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Byju's Answer

Standard XII

Physics

Angular Velocity

F 1 and F 2 a...

Question

$F_{1}$ and $F_{2}$ are the gravitation acting on a mass 'm' due to Earth of mass 'M', radius R and uniform density $ρ$ when placed outside and inside the Earth's surface at a distance 'r', respectively then $\frac{F_{1}}{F_{2}}$ is

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Solution

$\frac{F_{1}}{F_{2}} = \frac{m E_{1}}{m E_{2}} = \frac{E_{1}}{E_{2}} - G r a v i t a t i o n a l f i e l d = \frac{\frac{G M}{r^{2}}}{(\frac{G M r}{R^{3}})} = \frac{R^{3}}{r^{3}} = {(\frac{R}{r})}^{3}$

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