The Gravitational Force (between two spherical objects)

AI Thread Summary
To calculate the maximum gravitational force between a bowling ball and a billiard ball, the formula F=Gm1m2/r^2 is used, where r is the distance between their centers. Since the problem does not specify the distance, it is assumed that the balls are in contact, necessitating the addition of their radii to determine r. The maximum force occurs when the two spheres are closest together, confirming that the distance used in the equation should be the sum of their radii. This approach clarifies how to derive the gravitational force in this scenario. Understanding the relationship between distance and gravitational force is crucial for accurate calculations.
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A bowling ball (mass=7.2 kg, radius=0.11m_ and a billiard ball (mass=.38kg, radius= .082m) may each be treated as uniform spheres. What is the magnitude of the maximum gravitational force that each can exert on the other?

I figured I was supposed to use F=Gm1m2/r^2 but I didn't know how to use the equation because the problem gave me to radii.
 
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if we want the maximum force, what can you say about the distance between them?
 
i'm not sure, I really don't get it. I just know that I'm supposed to use r and in every other problem, they give it to me and I don't know why I have two distances.
 
ok, what is r?
 
I got it. I just added the radii together. Because I figured if it didn't tell me how far apart the spheres were, I had to assume they were next to each other.
 
that is the way but it is not because the question didn't give you the distance.
maximum force means the distance is the least, this happens when they are next to each other, and that is why you add the radii together to get the r.
 
awesome, thank you for your help
 
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