If the distance between two masses is increased by a factor of 5,by what factor would the mass of one - Science - Gravitation

Question

If the distance between two masses is increased by a factor of
5,by what factor would the mass of one of them have to be altered
to maintain the same gravitational force? Would this be an increase
or decrease in the mass?

Yash Selot · Answer

One of the mass should be multiplied by 25 because if the
distance is increased by 5 the force will be reduced by a factor of
25 Therefore to maintain the same gravitational force ,one of the
mass is multiplied by 25 so that 25 and 25 cancel out each other
and the force remains unaffected

If the distance between two masses is increased by a factor of 5,by what factor would the mass of one of them have to be altered to maintain the same gravitational force? Would this be an increase or decrease in the mass?