Question

If masses of two point objects are tripled and distance between them is doubled,then gravitational force of attraction between them will

• A. Increase by 225%
• B. Decrease by 56%
• C. Increase by 125%
• D. Decrease by 144%

Answer 1

The correct option is A Increase by 225%

$F=\frac{GMm}{R^2}$

If masses are tripled and distance is doubled,

$F^{\prime }=\frac{G\times 3M\times 3m}{4R^2}$

$=\frac{9}{4}\frac{GMm}{R^2}$

$=\frac{9}{4}F$

Therefore graviataional force increases by $\frac{9}{4}=2.25=225$%