Practice question
Question
A system consists of two particles: 1kg at (2,3) and 2kg at (4,1). What is the y-coordinate of the center of mass?
Explanation
Formula: Y = m1y1+m2y2m1+m2. m1 = 1kg, y1 = 3; m2 = 2kg, y2 = 1. Y = (1×3)+(2×1)1+2 = 3+23 = 53≈1.67m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 1.67 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.