Practice question
Question
Two particles of masses 5kg and 3kg are at (0,4) and (8,0) respectively. What is the distance of their center of mass from the origin?
Explanation
X = (5×0)+(3×8)5+3 = 248 = 3. Y = (5×4)+(3×0)5+3 = 208 = 2.5. Distance = X2+Y2 = 32+(2.5)2 = 9+6.25 = 15.25≈3.9m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.9 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.
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