Objects with masses of 210 kg and a510 kg are separated by 0.390 m. (a) Find the

Question

Objects with masses of 210 kg and a510 kg are separated by 0.390 m. (a) Find the net gravitational force exerted bythese objects on a 55.0 kg objectplaced midway between them.
1 N

(b) At what position (other than infinitely remote ones) can the55.0 kg object be placed so as toexperience a net force of zero?
2 m from the510 kg mass (a) Find the net gravitational force exerted bythese objects on a 55.0 kg objectplaced midway between them.
1 N

(b) At what position (other than infinitely remote ones) can the55.0 kg object be placed so as toexperience a net force of zero?
2 m from the510 kg mass

Explanation / Answer

a) The net gravitational force is           Fnet =GMm1/(r2) -GMm2/(r2) Here G =6.67*10-11 N.m2/kg2             M = 55.0 kg           m1 = 510kg            m2 =210 kg           r = (0.390m)/2 b) The net force is zero at 55.0 kg So GMm1/((x)2) -GMm2/((r-x)2) =0 Solve for x.

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