if the distance between two Mass es is increased by factor 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
Attachments:
Answers
Answered by
9
We have F = GMm/r^2
If the distance is increased by a factor of 5, we have
F' = GMm/(5r)^2
= GMm/25r^2
By comparing the two forces we come to know that if the distance between the objects is increased by a factor of five, the gravitational force between the two objects would be decreased by 1/25th of the previous force.
Thus to maintain the same amount of gravitational force, the mass of one object has to be altered by a factor of 25.
Similar questions