Physics

The center of mass is the weighted average position of all objects in a system, where each object's position is weighted by its mass. Think of it as the balance point—heavier objects pull the average location toward them. Since both pucks lie on the $x$-axis, you just need to find the weighted mean of their $x$-coordinates using the formula $x_{\text{cm}} = \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2}$.

The center of mass is the weighted average position of all objects in a system, where each object's position is weighted by its mass. Think of it as the balance point—heavier objects pull the average location toward them. Since both pucks lie on the $x$-axis, you just need to find the weighted mean of their $x$-coordinates using the formula $x_{\text{cm}} = \frac{m_1 x_1 + m_2 x_2}{m_1 + m_2}$.