Why is the distance that two objects are apart (r) when it should be half of it?

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SUMMARY

The gravitational force of attraction between two oranges, each weighing 0.12 kg and placed 0.2 m apart, is calculated using the formula F = (Gm1m2)/r^2. In this context, r represents the distance between the centers of the two objects, which is correctly taken as 0.2 m. The confusion arises from the distinction between radius and distance; in this case, the distance is not halved, as it measures the separation between the centers of the oranges, not their radii.

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Homework Statement



what is the gravitational force of atraction between
two oranges of 0.12kg each placed 0.2m apart


Homework Equations



F=(Gm1m2)/r^2

The Attempt at a Solution


it works when i put r = 0.2 but shouldn't it be 0.1 (half the diameter is the radius isn't it?)
 
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Your intuition for F is correct for things like the Earth, where we are a distance r=radius from the Earth's center. But, more generally, r just represents the distance between the two objects. In this case, the distance is just .2m.
 
what i know about r in these kinds of questions that it is the distance from the centre of object1 to the centre of object2, so if that 0.2 represents:

radius of object1+raduis of object2+the distance between the two surfaces , then your work is done .. but becareful with other questions this one i assume that they meant that 0.2 is the distance from centre object1 to centre object2 ..
 

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