Tuesday

July 29, 2014

July 29, 2014

Posted by **James** on Saturday, July 28, 2012 at 11:42am.

The answer is supposed to be 3.82e-08 N. Any help is appreciated. I'm not sure where to even start this question.

- Physics -
**Elena**, Sunday, July 29, 2012 at 7:18amLet the mass m3 be in the origin of the coordinate system, m2 be on x-axis (separated by 0.55 m from origin), and m1 is above x-axis. m1=m2=m3=m=10 kg, a=0.55 m.

The gravitational constant is

G =6.67•10^-11 N•m²/kg²,

F2 =F2x=G•m2•m3/a²,

F1x = (G•m1•m3/a²)•cos60º,

F1y=(G•m1•m3/a²)•sin60º,

F(net)x= F2x+F1x= G•m2•m3/a² +(G•m1•m3/a²)•cos60º=1.5•G•m2•m3/a²,

F(net)y = F1y=(G•m1•m3/a²)•sin60º= 0.866• G•m2•m3/a²,

F(net) =sqrt[(F(net)x)²+( F(net)y)²] = G•m²/a² •sqrt(1.5²+0.866²)=

=1.73•6.67•10^-11•100/0.55²=3.82•10^-8 N.

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