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Practice question

MCQ

Question

Three particles of masses 2kg, 3kg, and 5kg are placed at coordinates (0,0), (4,0), and (2,3) respectively. What is the x-coordinate of their center of mass?

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Explanation

Using the formula for the x-coordinate of the center of mass: X = m1x1+m2x2+m3x3m1+m2+m3. Masses: m1 = 2kg, m2 = 3kg, m3 = 5kg. Coordinates: x1 = 0, x2 = 4, x3 = 2. X = (2×0)+(3×4)+(5×2)2+3+5 = 0+12+1010 = 2210 = 2.2m.

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