Practice question
Question
Two particles of masses 4kg and 6kg are at (0,7) and (8,3) respectively. What is the distance of their center of mass from the origin?
Explanation
X = (4×0)+(6×8)4+6 = 4810 = 4.8. Y = (4×7)+(6×3)4+6 = 28+1810 = 4.6. Distance = (4.8)2+(4.6)2 = 23.04+21.16 = 44.2≈6.65m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 6.65 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
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