Determine the balls mass from force by gravity

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SUMMARY

The discussion focuses on calculating the mass of two identical balls based on the gravitational force they exert on each other, which is given as 5.3×10-6N. The relevant equation used is F=Gm1m2/r2, where G is the gravitational constant (6.67×10-11 N m2/kg2). Participants emphasized the importance of using consistent units, specifically converting the distance from centimeters to meters for accurate calculations.

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  • Knowledge of unit conversion between centimeters and meters
  • Ability to manipulate algebraic equations
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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
 
Last edited:

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