Question

mass of each object is increased by $25$% (other factors are kept same)

• A. $2.4589F$
• B. $1.5625F$
• C. $1.25F$
• D. $2.25F$

Answer 1

The correct option is B $1.5625F$

Initial mass of objects $=m$

Final mass of the objects $=m+\frac{m}{4}=\frac{5m}{4}$

$\therefore$ Initial force $=\frac{{Gm}^2}{r^2}=F$

FInal force, $F^{\prime }=\frac{G\left(5m\right)\left(5m\right)}{\left(4\right)\left(4\right)r^2}=\frac{25}{16}\frac{{Gm}^2}{r^2}=1\cdot 5625F$