Practice question
Question
Two particles of masses 2kg and 8kg are at (1,5) and (4,1) respectively. What is the distance of their center of mass from the origin?
Explanation
X = (2×1)+(8×4)2+8 = 2+3210 = 3.4. Y = (2×5)+(8×1)2+8 = 10+810 = 1.8. Distance = (3.4)2+(1.8)2 = 11.56+3.24 = 14.8≈3.85m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.85 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.