First slide

Location of centre on mass for multiple point masses

Question

Two atoms of hydrogen are located at r₁, and r₂. Their center of mass is at

Easy

A

$\frac{r_{1} - r_{2}}{2}$
B

$\frac{r_{1} + r_{2}}{2}$
C

$r_{1} - r_{2}$
D

$r_{1} + r_{2}$

Solution

$r_{CM} = \frac{m r_{1} + m r_{2}}{m + m} = \frac{r_{1} + r_{2}}{2}$

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