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January 30, 2015

January 30, 2015

Posted by **Physics** on Sunday, September 13, 2009 at 4:44pm.

At what distance from teh Earth will a spacecraft on the way to the Moon esperience zero net force due to these two bodies because the EArth and Mon pull with equal and opposite forces?

mass of earth = m1 = 5.98 E 24 kg

mass of moon = m2 = 7.36 E 22 kg

radius moon to earth = 3.84 E 8 m = r1 + r2

r1 = radius satalite to earth

r2 = radius satalite to moon

- physics -
**bobpursley**, Sunday, September 13, 2009 at 4:49pmYou haven't done what I suggested.

Pick an object, massm, and find the force of gravity on it from the Earth, let the distance be x. Then the same object, the force of gravity on it from the Moon, distance 3.84E8-x, then set the two forces equal, and solve for x.

- QUESTION -
**QUESTION**, Sunday, September 13, 2009 at 5:06pmm3 = mass of satalite

(G m3 m2)/x^2 = (G m3 m1)/(3.84 E 8 m - x)^2

I can cancel out the m3 and the G right?

- QUESTION -
**QUESTION**, Sunday, September 13, 2009 at 5:31pmok so I got down to this

x = sqrt( ((m1 + m2)(3.84 E 8))/m2 )

which gave me the wrong answer

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