Calculating Mass of Identical Lead Spheres Attracting 0.30(myu)N

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Two identical lead spheres, separated by 14 cm, attract each other with a force of 0.30(myu)N. The gravitational force equation F = GMm/r^2 is relevant for calculating their mass. The user is confused about the units and the application of the equation, mistakenly incorporating gravity into the calculations. Clarification is provided that the force is in Newtons, and since the spheres are identical, their masses can be equated. The discussion emphasizes the importance of understanding the equation's meaning before manipulating it for a solution.
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Homework Statement



Two identical lead spheres are 14cm apart and attract each other with a force of 0.30(myu)N .

What is their mass?

Homework Equations



F = GMm/r^2


The Attempt at a Solution



not sure but :

let myu = u.

.3uN = GMm/r^2

.3umg = GMm/r^2

u = 10/3 *GM/(r^2*g)


not sure what to do next.

Do I use the same equation for sphere 2, but solve for M and substitute?
 
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You are confused. N means Newtons - it is not a number, it is a unit - it is a standard measurement for force, kind of like centimeters is for length. mg is the force of gravity (on EARTH, which has nothing to do with the problem!), and is not a unit.

This problem is really just plug and chug. You know that the two balls are identical, so that m = M. Otherwise, you're given all the data you need. You don't seem to understand the equation or the concept. Before you manipulate equations, be sure to have an intuitive feel for what the equation actually means.
 
how about this :

Fg1 = G*M2 / r2

so,

.30u = G*M2 / r2

and just solve for M?
 
help, anyone?
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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