Objects with masses of 110 kg and a 410 kg are separated by 0.390 m. (a) Find th

Question

Objects with masses of 110 kg and a 410 kg are separated by 0.390 m. (a) Find the net gravitational force exerted by these objects ona 38.0 kg object placedmidway between them.
N
(b) At what position (other than infinitely remote ones) canthe 38.0 kg object be placedso as to experience a net force of zero?
mfrom the 410 kg mass (a) Find the net gravitational force exerted by these objects ona 38.0 kg object placedmidway between them.
N
(b) At what position (other than infinitely remote ones) canthe 38.0 kg object be placedso as to experience a net force of zero?
mfrom the 410 kg mass

Explanation / Answer

x = 0.390m a) F1 = G*110 * 38 / 0.195*0.195          = 1.099 x105 G     F2 = G * 410 * 38 / 0.195*0.195          = 4.0973 x105 G Resultant force = F2 - F1 = 2.998 x 105 * 6.67 x10-11 = 19.99 x 10-6 N b) F1 = F2     410 * 38 / x2 = 110 * 38/ (x-d)2       15580 (x-d)2 = 4180x2               (x-d ) = 0.268 x                  d = (1 - 0.268) * x = 0.285 m

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