Practicing Success
The magnitude of the gravitational field at distance r1 and r2 from the centre of a uniform sphere of radius R and mass M are F1 and F2 respectively then: |
(F1/F2) = (r1/r2) if r1 < R and r2 < R (F1/F2) = (r2/r1)2 if r1 > R and r2 > R (F1/F2) = (r1/r2) if r1 > R and r2 > R (F1/F2) = (r1/r2)2 if r1 < R and r2 < R |
(F1/F2) = (r1/r2) if r1 < R and r2 < R |
$F \propto r$ (r < R) $F \propto \frac{1}{r^2}$ ( r > R) $\frac{F_1}{F_2}=\frac{r_1}{r_2}$ if r < R & $\frac{F_1}{F_2}=\left(\frac{r_2}{r_1}\right)^2$ if r > R |