Practice question
Question
Two particles of masses 8kg and 2kg are at (0,5) and (10,0) respectively. What is the distance of their center of mass from the origin?
Explanation
X = (8×0)+(2×10)8+2 = 2010 = 2. Y = (8×5)+(2×0)8+2 = 4010 = 4. Distance = (2)2+(4)2 = 4+16 = 20≈4.47m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.47 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.