Question

If the attraction force between two bodies separated by R is F, then find the force between them at distance (R+d).

• A. $F^{{}^{\prime }}$ = $\frac{R^{2}F}{{(R+d)}^2}$
• B. $F^{{}^{\prime }}$ = 2$\frac{R^{2}F}{{(R+d)}^2}$
• C. $F^{{}^{\prime }}$ = $2^{\frac{-3}{2}}$ $\frac{R^{2}F}{{(R+d)}^2}$
• D. Zero

Answer 1

The correct option is A

$F^{{}^{\prime }}$ = $\frac{R^{2}F}{{(R+d)}^2}$

Case - 1: According to Newton's law of gravitation

$F^{{}^{\prime }}$ = $\frac{G{M}_1{M}_2}{{(R+d)}^2}$

F = = $\frac{G{M}_1{M}_2}{R^2}$

Case - II :

$\therefore$ $\frac{F^{{}^{\prime }}}{F}$ = $\frac{R^2}{{(R+d)}^2}$ or $F^{{}^{\prime }}$ = $\frac{R^{2}F}{{(R+d)}^2}$