(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Consider a system of two blocks that have masses m_1 and m_2. Assume that the blocks are point-like particles and are located along the x axis at the coordinates x_1 and x_2. In this problem, the blocks can only move along the x axis. Find the x coordinate of the center of mass of the system.

2. Relevant equations

The solution is ( [tex]\((m1x1 + m2x2)/(m1 + m2)[/tex], but I cannot for the life of me understand why this is exactly. Why multiply the mass by the x-coordinate of its location?

3. The attempt at a solution

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# Center of Mass Problem

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