Physics
Nessaajajayi
2016-04-16 09:39:12
If the force of gravity between a book of mass 0.50 kg and a calculator of 0.100 kg is 1.5 × 10-10 N, how far apart are they?
ANSWERS
manda
2016-04-16 15:05:29

Force = G m1 m2 / r^2

guizinhagui
2016-04-16 15:06:44

[latex]m_1=0,5kg \ m_2=0,1kg \ F=1,5*10^{-10}N \ G=6,67*10^{-11}m^3/kg*s^2 \ \ r=? \ \ \ F= frac{Gm_1m_2}{r^2 } \ \ Fr^2=Gm_1m_2 \ \r^2=frac{Gm_1m_2}{F} \ \ r= sqrt{frac{Gm_1m_2}{F} } = [/latex] [latex]=sqrt{ frac{6,67*10^{-11} frac{m^3}{kg*s^2}*0,5kg*0,1kg }{1,5*10^{-10}N} } = sqrt{ frac{6,67*10^{-11} frac{m^3}{kg*s^2}*0,05kg^2 }{1,5*10^{-10} frac{kg*m}{s^2} } } = \ \ =sqrt{ frac{6,67 *10^{-11}*0,05 }{1,5*10^{-10}}m^2 } approxoxed{0,15m} \ \ \ \ \ \ "Non nobis, Domine, non nobis, sed Nomini tuo da gloriam." \ \ \ \ underline{underline{Regards M.Y.}}[/latex]

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