Question 150: Gravitation

Question

Two objects of equal masses placed at certain distance from each other attracts each other with a force of F. If one-third mass of one object is transferred to the other object, then the new force will be :

Accepted Answer

Let the masses are m and distance between them is l, then $$F = {{G{m^2}} \over {{l^2}}}$$.
When 1/3
rd
mass is transferred to the other then masses will be $${{4m} \over 3}$$ and $${{2m} \over 3}$$. so new force will be
$$F' = {{G{{4m} \over 3} 	imes {{2m} \over 3}} \over {{l^2}}} = {8 \over 9}{{G{m^2}} \over {{l^2}}} = {8 \over 9}F$$

Answer

$${2 \over 9}$$ F

Answer

$${16 \over 9}$$ F

Answer

$${8 \over 9}$$ F

Answer

F

Gravitation

Two objects of equal masses placed at certain distance from each other attracts each other with a force of F. If one-third mass of one object is transferred to the other object, then the new force will be :

Choose the correct answer: