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#coordinates

3 public questions tagged with this topic.

Two particles of masses 7kg and 3kg are at (0,6) and (5,0) respectively. What is the distance of their center of mass fr

X = (7×0)+(3×5)7+3 = 1510 = 1.5. Y = (7×6)+(3×0)7+3 = 4210 = 4.2. Distance = (1.5)2+(4.2)2 = 2.25+17.64 = 19.89≈4.46m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.46 m. This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

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

A uniform circular ring of radius 2m and mass 5kg has its center at (3,4). What is the position of its center of mass?

For a uniform circular ring, the center of mass is at its geometric center. Given center at (3,4), CM position = (3,4). As per NCERT, applying relevant law/formula with correct units and sign convention leads to (3,4). This satisfies dimensional consistency and physical conditions given, so option C is scientifically correct.

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

A system of two particles, 3kg at (1,2) and 1kg at (5,6), moves as a rigid body. What is the distance of the center of m

X = (3×1)+(1×5)3+1 = 3+54 = 2. Y = (3×2)+(1×6)3+1 = 6+64 = 3. Distance = X2+Y2 = 22+32 = 4+9 = 13≈3.6m. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 3.6 m. This satisfies dimensional consistency and physical conditions given, so option B is scientifically correct.

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