Objects with masses of 120 kg and a420 kg are separated by 0.440 m. (a) Find the

Question

Objects with masses of 120 kg and a420 kg are separated by 0.440 m. (a) Find the net gravitational force exerted bythese objects on a 48.0 kg object placedmidway between them.
1 N

(b) At what position (other than infinitely remote ones) can the48.0 kg object be placed so as toexperience a net force of zero?
2 m from the 420 kgmass any help would be appreciated i am lost. (a) Find the net gravitational force exerted bythese objects on a 48.0 kg object placedmidway between them.
1 N

(b) At what position (other than infinitely remote ones) can the48.0 kg object be placed so as toexperience a net force of zero?
2 m from the 420 kgmass any help would be appreciated i am lost.

Explanation / Answer

(a)
   from the theory we have the equation
   F = G m1 m2 / r2
   from which we get
   F = G (48.0 kg) (420 kg - 120 kg) / (0.220m)2
          = ....... N(towards the 420 kg mass)
(b)
   at a point between the two masses and distance d fromthe 420 kg mass the net force will be
   zero when
   G (48.0 kg) (120 kg) / (0.440 m - d2) = G(48.0 kg) (420 kg) / (d2)
   solve for d
   d = ........ m

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