Q. 1.     How does the force of gravitation between two objects change when the distance between them is reduced to half?

Answers (1)
S Sayak

Let there be two bodies of masses m1 and m2 and let the distance between them be r. The gravitational force F between them would be given by

F_{}=G\frac{m_{1}m_{2}}{r^{2}}

Let the distance between them be halved by two. The gravitational force between them would now be given by

\\F'=G\frac{m_{1}m_{2}}{(\frac{r}{2})^{2}}\\ F'=4G\frac{m_{1}m_{2}}{r^{2}}\\ F'=4F

The force of gravitation between two objects would increase by 4 times if the distance between them is halved.

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