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

Open in App

Solution

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.

Suggest Corrections

Similar questions

Q. If the distance between two masses be increased by a factor of 6, 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?

If the distance between two masses is increased by a factor of 4, by what factor would the mass of one of them have to be altered to maintain the same gravitational force

Q. If the distance between two object in increase two times, they by how many times will the mass of one of the object be change to maintain the same gravitational force?

Q. Two point masses having mass

m_{1}

and

m_{2}

respectively. If the distance between two masses is increased by a factor of

2

. Then gravitational force:

Q. The gravitational force between two objects is

F

. If both of their masses are halved without altering the distance between them, the new gravitational force between them would be:

Join BYJU'S Learning Program