Physics

Problem

The magnitudes of the gravitational field at distance

r_1

and

r_2

from the centre of a uniform sphere of radius

R

and mass

m

are

F_1

and

F_2

respectively. Then: a.

\frac{F_1}{F_2} = \frac{r_1}{r_2}

r_1 < R

and

r_2 < R

\frac{F_1}{F_2} = \frac{r_2^2}{r_1^2}

r_1 > R

and

r_2 > R

\frac{F_1}{F_2} = \frac{r_1}{r_2}

r_1 > R

and

r_2 > R

\frac{F_1}{F_2} = \frac{r_1^2}{r_2^2}

r_1 < R

and

r_2 < R