Calculate the gravitational forcethe masses of the earth and moon are 5.98 x10^24 and 7.35
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The magnitude of the charge must be 5.72×1013C5.72×1013C
The gravitational force between to masses m1, m2m1, m2 is given by:
Fg=Gm1m2r2Fg=Gm1m2r2
Where G is the gravitational constant and r the distance between the masses. The electric force between to charges q1, q2q1, q2 is given by:
Fe=14πϵ0q1q2r2Fe=14πϵ0q1q2r2
Where r is the distance between the charges.The two forces are opposite and direction but same in magnitude:
Fe=Fg14πϵ0q1q2=Gm1m2 , But we have q1=q2=qq2=Gm1m2⋅4πϵ0q=±√Gm1m2⋅4πϵ0q=±5.72×1013Fe=Fg14πϵ0q1q2=Gm1m2 , But we have q1=q2=qq2=Gm1m2⋅4πϵ0q=±Gm1m2⋅4πϵ0q=±5.72×1013
The magnitude of the charge must be 5.72×1013C
The gravitational force between to masses m1, m2m1, m2 is given by:
Fg=Gm1m2r2Fg=Gm1m2r2
Where G is the gravitational constant and r the distance between the masses. The electric force between to charges q1, q2q1, q2 is given by:
Fe=14πϵ0q1q2r2Fe=14πϵ0q1q2r2
Where r is the distance between the charges.The two forces are opposite and direction but same in magnitude:
Fe=Fg14πϵ0q1q2=Gm1m2 , But we have q1=q2=qq2=Gm1m2⋅4πϵ0q=±√Gm1m2⋅4πϵ0q=±5.72×1013Fe=Fg14πϵ0q1q2=Gm1m2 , But we have q1=q2=qq2=Gm1m2⋅4πϵ0q=±Gm1m2⋅4πϵ0q=±5.72×1013
The magnitude of the charge must be 5.72×1013C
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