Question

Two planetary masses of 4.0*10^19 kg and 8.0*10^15kg respectively are 4*10^10 m apart, what is the...

Two planetary masses of 4.0*10^19 kg and 8.0*10^15kg respectively are 4*10^10 m apart, what is the force of gravity between the two masses?

By what factor would the force change if the distance were to reduce by a factor 4?

Homework Answers

Answer #1

The force of gravity between two masses m and M, separated by a distance 'r' is given by

Where G = 6.67 X 10-11 Nm​​​​​2/kg​​​2 is universal gravitational constant.

Therefore the force of gravity between the two given planets is

Now, if we reduce the distance by a factor of 4 then

Hence, the force will increase 16 times of the original value.

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