Question

$\sf \colorbox{gold} {\red(Question:}$


What happens to the force between two objects, if

(i) the mass of one object is doubled?

(ii) the distance between the objects is doubled and tripled?

(ii) the masses of both objects are doubled?​

Answer 1

$\large\boxed{\pink{\rm{\bigstar Answer \bigstar} }}\longrightarrow$

❃ What happens to the force between two objects, if the mass of one object is doubled?

$\longrightarrow \sf When ~the ~mass ~of ~one ~object ~is ~doubled,$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\boxed{\sf{\orange{F' = \dfrac{2GMm}{R^2} = 2F}}}$

⠀⠀⠀⠀__________________⠀⠀⠀⠀⠀⠀

❃ What happens to the force between two objects, the distance between the objects is doubled and tripled?

$\longrightarrow \sf When~ the~ distance~ is ~doubled,$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\boxed{\orange{\sf F' = \dfrac{2GMm}{(2R)^2} = \dfrac{F}{4}}}$

$\longrightarrow \sf And ~when~ the~ force ~gets~ tripped,$

⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀$\boxed{\orange{\sf F' = \dfrac{2GMm}{(3R)^2} = \dfrac{F}{9}}}$

⠀⠀⠀⠀__________________⠀⠀⠀⠀⠀⠀

❃ What happens to the force between two objects, if the masses of both objects are doubled?

$\longrightarrow \sf When~ the~ masses ~are ~doubled,~ then,$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀$\boxed{\orange{ \sf F' = \dfrac{4GMm}{R^2} = 4F}}$

⠀⠀⠀⠀__________________⠀⠀⠀⠀⠀⠀