Question

Two bodies of masses $10kg$ and $2kg$ are moving with velocities $(2\hat{i}-7\hat{j}+3\hat{k})m/s$ and $(-10\hat{i}+35j-3k)m/s$ respectively. Find the velocity of their centre of mass.

Answer 1

$V_{com}=$$\{\left(\frac{10\times 2-2\times 10}{12}\right)\hat{i}+\left(\frac{10\times -7+2\times 35}{12}\right)\hat{j}+\left(\frac{30-6}{12}\right)\hat{k}\}$

$\{0\hat{i}+0\hat{j}+\frac{24}{12}\hat{k}\}=2\hat{k}$