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pointintime
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Homework Statement
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?
Homework Equations
net force = m a
a radial = r^-1 v^2
Fg = r^-2 G M m
The Attempt at a Solution
for this prolem I'll use M for Moon and m for Earth
net force radial = mass of spacecraft times radial acceleration = 0 = Fg exerted by Earth = Fg exerted by moon
(mass spacecraft ) r^-1 V^2 = Fg exerted by earth
(mass spacecraft ) r^-1 4 pi^2 r^2 t^-2 = r^-2 G M m
(mass spacecraft ) r 4 pi^2 t^-2 = r^-2 G M m
r^-3 = (mass of spacecraft ) 4 pi^2 t^-2 G^-1 M^-1 m^-1
r = ( (mass of spacecraft ) 4 pi^2 t^-2 G^-1 M^-1 m^-1 )^(-3^-1)
not sure how to do this problem sense it's apparent i did it wrong
could you walk me through it