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#coordinate calculation

2 public questions tagged with this topic.

Conservation of Angular Momentum

Three particles of masses 1kg, 2kg, and 3kg are located at (1,1), (2,3), and (4,2) respectively. What is the y-coordinat

Formula: Y = m1y1+m2y2+m3y3m1+m2+m3. Masses: 1,2,3kg; y-coordinates: 1,3,2. Y = (1×1)+(2×3)+(3×2)1+2+3 = 1+6+66 = 136≈2.17m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 2.17 m. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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Conservation of Angular Momentum

Three particles of masses 2kg, 4kg, and 6kg are at (0,2), (3,0), and (1,4) respectively. What is the x-coordinate of the

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.

Ref: NCERT Class 11 Physics, Thermal Properties and Gravitation.

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