Two objects attract each other with a gravitational force of 50 newtons from a given distance. If the distance between the two objects is increased by 5 times, what will be the changed force of attraction between them?

Question

anonymous · Answer

$$\text{gravitational force} \propto \dfrac{1}{r^2}$$Do you understand what the above means?

anonymous · Answer

As F∝m1m1/r^2, 
F=50N initially as r=1. 
If r is increased by 5 times, then, r=5 and r^2=25. 
So, F=50/25N=2N.

When the distance between the objects were increased 5 times, the force of attraction got decreased to 2 Newton.