Question

if distance between two object in reduced to half an hour mass of two object is increased three time then find out the gravitational force between the object​

Answer 1

Answer:

if distance between two object in reduced to half an hour mass of two object is increased three time then find out the gravitational force between the object

Answer 2

The new force becomes 36 times of the initial force.

Explanation:

The gravitational force between two masses that are separated by a distance d between them is given by :

$F=G\dfrac{m_1m_2}{r^2}$

If distance between two object in reduced to half and mass of two object is increased three time such that,

r' = r/2

and $m_1'=m_2'=3m$

New force is given by :

$F'=\dfrac{Gm_1'm_2'}{r'^2}$

$F'=\dfrac{G(3m)^2}{(r/2)^2}$

$F'=36\times G\dfrac{m_1m_2}{r^2}$

$F'=36F$

So, the new force becomes 36 times of the initial force. Hence, this is the required solution.

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