Gravitational force of a basketball to a golf ball

AI Thread Summary
The discussion revolves around calculating the gravitational force ratio between two basketballs and two golf balls. The gravitational force formula F=GMm/r^2 is applied, with the masses and radii of both types of balls provided. Initial calculations led to a reported ratio of 5.58, which was later corrected to 2757 after a misunderstanding of the radius values. Ultimately, the original answer of 5.58 was confirmed as correct after clarifying the radius used in the calculations. The participants concluded that accurate input is crucial for obtaining the correct gravitational force ratio.
kolua
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Homework Statement


Two basketballs, each of mass 0.58 kg and radius0.12 m, are placed on a floor so that they touch each other. Two golf balls, each of mass 0.045 kg and radius 22 mm, are placed on a table so that they touch each other.
What is the ratio of the gravitational force exerted by one basketball on the other to that exerted by one golf ball on the other?

Homework Equations


F=GMm/r^2

The Attempt at a Solution


Fbb=G mbxmb/r12
Fgg=G mgxmg/r22
[/B]
I got the result of 5.58
is this correct?
 
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kolua said:

Homework Statement


Two basketballs, each of mass 0.58 kg and radius0.12 m, are placed on a floor so that they touch each other. Two golf balls, each of mass 0.045 kg and radius 22 mm, are placed on a table so that they touch each other.
What is the ratio of the gravitational force exerted by one basketball on the other to that exerted by one golf ball on the other?

Homework Equations


F=GMm/r^2

The Attempt at a Solution


Fbb=G mbxmb/r12
Fgg=G mgxmg/r22
[/B]
I got the result of 5.58
is this correct?

That's a weird question. It's also a poor question, as you can get the right answer by taking ##r_b = 0.12m## and ##r_g = 0.022m##. Is that what you did?
 
PeroK said:
That's a weird question. It's also a poor question, as you can get the right answer by taking ##r_b = 0.12m## and ##r_g = 0.022m##. Is that what you did?
Yes and I got the ratio of 2757 not 5 sorry. is that correct?
 
kolua said:
Yes and I got the ratio of 2757 not 5 sorry. is that correct?

Have a think about what ##r## should be when you have two objects of a given radius.

Your original answer was correct, by the way.
 
PeroK said:
Have a think about what ##r## should be when you have two objects of a given radius.

Your original answer was correct, by the way.
Got it! I put the wrong number in calculator. THX!
 
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