Determine the balls mass from force by gravity

AI Thread Summary
To determine the mass of two identical balls experiencing a gravitational force of 5.3×10−6 N with their centers 24.0 cm apart, the gravitational force equation F=Gm1m2/r^2 is used. The gravitational constant G must be applied correctly, and the distance r should be converted to meters for accurate calculations. A common mistake noted in the discussion is using incorrect units, as G is expressed in Newtons and r should be in meters. The initial calculation of 6765.28 kg was incorrect due to unit discrepancies. Proper unit conversion and application of the formula are essential for finding the correct mass of the balls.
nickb145
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Homework Statement


Two identical balls, their centers 24.0cm apart, experience a mutual gravitational force of 5.3×10−6N .Find the ball's mass

de

Homework Equations


F=Gm1m2/r^2

Isn't this just backwards?

5.3x10^-6=(6.67x10^-11)(m^2)/24^2

6765.28kg? that wasn't right
i thought it may be in g to i made it to 6.67. still not right
Does the radius need to be in cm or m?

The Attempt at a Solution


i tried it out by using the gravitational force equation
 
Last edited:
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You chose the correct Relevant equation, for which the constant must be G, not g.

Make sure that your quantities have units that agree. What are the units of G? How about r?
 
Sorry, but yes it should be G. I did mean G though

the units are Newtons and Centimeters
 
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