Homework Help: physics

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

can you walk me through this problem

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 4:49pm
You 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 5:06pm
m3 = 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 5:31pm
ok 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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