Practice question
Question
Three particles of masses 2kg, 4kg, and 6kg are at (0,2), (3,0), and (1,4) respectively. What is the x-coordinate of their center of mass?
Explanation
Formula: X = m1x1+m2x2+m3x3m1+m2+m3. Masses: 2,4,6kg; x-coordinates: 0,3,1. X = (2×0)+(4×3)+(6×1)2+4+6 = 0+12+612 = 1812 = 1.5m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.5 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.