SOLUTION: Newtons law of gravitation says that the force of gravitational attraction, F between two particles is directly proportional to the product of their masses, m1 and m2, and inversel

Algebra.Com
Question 396080: Newtons law of gravitation says that the force of gravitational attraction, F between two particles is directly proportional to the product of their masses, m1 and m2, and inversely proportional to the square of the distance, d, between them.
I think the relationship is F=k(m1+m2)/d^2 Is this right? The next part of the question I need some help with please.
If the two particles each lose half of their mass as the distance between them triples, how would the gravitational attraction between them change?

Answer by richard1234(7193)   (Show Source): You can put this solution on YOUR website!
It should be

(the force is dependent on the product, not the sum). If m_1 and m_2 are each divided by 2, and the distance is tripled, then

, so the force caused by gravity is 1/36 as much.

In case you're interested, the gravitational constant is approximately Nm^2/kg^2.

RELATED QUESTIONS

According to Newton's Law of Universal Gravitation, the gravitational force between two... (answered by richwmiller)
Any assistance with this one would be greatly appreciated. Thanks in advance. Newton’s... (answered by ankor@dixie-net.com)
Newton's law of gravitation states that the gravitational attraction between two object... (answered by TimothyLamb)
Newton's Law of Gravitation says that two objects with masses m_1 and m_2 attract each... (answered by Alan3354)
Newton's law of gravitation states that every body in the universe attracts every other... (answered by ankor@dixie-net.com,greenestamps,robertb)
Please Help! I am so stumped and confused! :) THANK YOU SO MUCH!!! Gravitational Force (answered by Alan3354)
According to Newton's Law of Universal Gravitation, the gravitational force F between... (answered by Alan3354)
We can use Newton's Law of Gravity to measure the gravitational attraction between the... (answered by stanbon)
The force of attraction between two magnets is inversely proportional to the square of... (answered by Alan3354,Boreal)