How to find the mass of a sphere in a problem

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SUMMARY

The problem involves calculating the masses of two spheres with a known distance and gravitational force between them. The gravitational force equation used is Fg = (G)(m1)(m2)/r^2, where G is the gravitational constant. The user incorrectly calculated the masses as 0.25 kg for the lighter sphere and 0.5 kg for the heavier sphere. The correct approach requires substituting the values accurately into the equation and solving for the masses based on the relationship that one sphere's mass is twice that of the other.

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  • Basic algebra for solving equations
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  • Review the derivation of the gravitational force equation Fg = (G)(m1)(m2)/r^2
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Two spheres are placed so that their centers are 2.5 m apart. The force between the two spheres is 2.70 10-12 N. What is the mass of each sphere if one sphere is twice the mass of the other sphere?
1 . ______kg (lighter sphere)
2 ._______ kg (heavier sphere)


the equation i used:
Fg= (G)(m1)(m2)/r^2

I got

1. .25
2. .5

but the answer was wrong. does anyone know how to plug this in correctly?
 
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