Two point masses

PHYSICS · Single correct · A Level · Physics · Fields and their consequences · Fields and their consequences

Problem

Two point masses, 6.0 kg6.0\,\text{kg} and 24 kg24\,\text{kg}, are held 4.0 m4.0\,\text{m} apart on a frictionless straight track. At what distance from the 6.0 kg6.0\,\text{kg} mass along the line joining them can a third small mass be placed so that the net gravitational force on it is zero? (a) 3.2 m3.2\,\text{m} toward the 24 kg24\,\text{kg} mass (b) 1.33 m1.33\,\text{m} toward the 6.0 kg6.0\,\text{kg} mass (c) 1.33 m1.33\,\text{m} toward the 24 kg24\,\text{kg} mass (d) 0.80 m0.80\,\text{m} toward the 24 kg24\,\text{kg} mass

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