Two point masses rest on a frictionless straight track

PHYSICS · Single correct · CBSE · Physics · System of Particles and Rotational Motion · System of Particles and Rotational Motion

Problem

Two point masses rest on a frictionless straight track. Mass m1=3 kgm_1=3\,\text{kg} is at x=0 mx=0\,\text{m} and mass m2=5 kgm_2=5\,\text{kg} is at x=4 mx=4\,\text{m}. The two masses slide together and latch, forming a single object. What is the position of the center of mass of this combined object, measured from the origin? (a) 2.0 m2.0\,\text{m} (b) 2.5 m2.5\,\text{m} (c) 1.5 m1.5\,\text{m} (d) 3.0 m3.0\,\text{m}

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