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#magnitude

2 public questions tagged with this topic.

Vector Product and Rotational Kinematics

A 3kg particle moves with velocity v\=6i^m/s at r\=2j^m. What is the magnitude of its angular momentum about the origin?

L = r×p = |i^j^k^020600| = k^(0×0−2×6) = −12k^kg m2/s. Magnitude = 12kg m2/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 12 kg m²/s. 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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Torque and Angular Momentum

A 5kg object moves with a velocity of 4i^+2j^m/s. What is the magnitude of the velocity of its center of mass?

For a single object, the center of mass velocity equals the object’s velocity. Magnitude = (4)2+(2)2 = 16+4 = 20≈4.47m/s. As per NCERT, applying relevant law/formula with correct units and sign convention leads to 4.47 m/s. 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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