Question

Question 71:
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 ?

Lakhmir Singh Physics Class 9

Answer 1

Answer:

Mass of one of them have to be altered by a factor of 25 to maintain the same gravitation force.

Because,

Force is inversally oroportional to square of distance .

As distance increases by 5 times.

So , F will decrease by 5^2= 25 times.

Hence, mass of any one of the bodies should be increased by 25 times to maintain the same gravitaional force.