Gravitational Force between two equal masses

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SUMMARY

The gravitational force between two equal masses, positioned 1 meter apart, is calculated using the formula F=Gmm/r^2. Given that the force is 2, the correct mass for each object is determined to be 1.50*10^10 kg. The confusion arose from a misinterpretation of the equation, where the user mistakenly equated m·m to 2m. The correct application of the formula leads to the conclusion that each mass is 1.50*10^10 kg.

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physgrl
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Homework Statement



Two equal masses are precisely 1 m apart from each other. The gravitational force each exerts on the other is exactly 2. What is the value of each mass?

*a. 1.73*10^5kg

b. 1.50*10^10kg

c. 2.50*10^5kg

d. 1.58*10^10kg

Homework Equations



F=Gmm/r^2

The Attempt at a Solution



I did
F=Gmm/r^2
2=G2m/1 (because the masses are equal)
m=2*1/2G
m=1/G
m=1.50*10^10kg

I don't know why B is wrong and A is right (according to the answer key);
 
Physics news on Phys.org
Hi physgrl! :smile:

I'm afraid that m \cdot m \ne 2m.
 
uups my mistake :s
 

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