Practice question
Question
Two particles of masses 8 kg and 2 kg are at (0, 5) and (10, 0) respectively. What is the distance of their nter of mass from the origin?
Explanation
Given:
Two particles of masses 8 kg and 2 kg are at (0, 5) and (10, 0) respectively. What is the distance of their nter of mass from the origin?
These values define the system as per NCERT data.
Formula:
X = (8 × 0) + (2 × 10)/8 + 2 = 20/10 = 2.
This is standard NCERT relation.
Substitution & Calculation:
Y = (8 × 5) + (2 × 0)/8 + 2 = 40/10 = 4 . Distance = sqrt(2)² + (4)² = sqrt4 + 16 = sqrt20 approx 4.47 m .
Result:
The computed value matches expected outcome and confirms correct choice as per NCERT.
Discussion
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