# At the instant a 2.0-kg particle has a velocity of 4.0 m/s in thepositive x direction, a 3.0-kg particle has a velocity of 5.0 m/s in thepositive y direction. What is the speed of the center of mass of thetwo-particle system?

Question
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At the instant a 2.0-kg particle has a velocity of 4.0 m/s in the
positive x direction, a 3.0-kg particle has a velocity of 5.0 m/s in the
positive y direction. What is the speed of the center of mass of the
two-particle system?

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Step 1

x-coordinate of speed of centre of mass will be, help_outlineImage Transcriptionclosex-coordinate of speed of centre of mass will be, m,V3, + M;V25 1. = т, + т, (2.0kg)(4.0m/s)+(3.0kg)(0m/s) 2.0kg +3.0 kg = 1.6m/s fullscreen
Step 2 help_outlineImage Transcriptionclosey-coordinate of speed of centre of mass will be, myy, + m,v 35 m, + m, (2.0kg)(0m/s)+(3.0kg)(5.0m/s) 2.0kg + 3.0kg = 3m/s fullscreen
Step 3

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### Centre of Mass and Centre of Gravity 