Practice question
Question
Three particles of masses 1kg, 5kg, and 10kg are at (0,2), (3,0), and (4,6) respectively. What is the x-coordinate of their center of mass?
Explanation
Formula: X = m1x1+m2x2+m3x3m1+m2+m3. Masses: 1,5,10kg; x-coordinates: 0,3,4. X = (1×0)+(5×3)+(10×4)1+5+10 = 0+15+4016 = 5516≈3.44m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.44 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.