A 270-kg object and a 570-kg object are separated by 3.40 m. (a) Find the magnitude of the net gravitational force exerted by these objects on a 64.0-kg object placed midway between them.   (b) At what position (other than an infinitely remote one) can the 64.0-kg object be placed so as to experience a net force of zero from the other two objects?  m from the 570 kg mass toward the 270 kg mass

Principles of Physics: A Calculus-Based Text
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Chapter11: Gravity, Planetary Orbits, And The Hydrogen Atom
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Problem 3P: A 200-kg object and a 500-kg object are separated by 4.00 m. (a) Find the net gravitational force...
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A 270-kg object and a 570-kg object are separated by 3.40 m.

(a) Find the magnitude of the net gravitational force exerted by these objects on a 64.0-kg object placed midway between them.
 
(b) At what position (other than an infinitely remote one) can the 64.0-kg object be placed so as to experience a net force of zero from the other two objects?
 m from the 570 kg mass toward the 270 kg mass
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