Serway & Jewett — Linear Momentum and Collisions: Problem 27

Consider a system of two particles in the $xy$ plane: $m_1 = 2.00\text{ kg}$ is at the location $\vec{r}_1 = (1.00\hat{i} + 2.00\hat{j})\text{ m}$ and has a velocity of $(3.00\hat{i} + 0.500\hat{j})\text{ m/s}$; $m_2 = 3.00\text{ kg}$ is at $\vec{r}_2 = (-4.00\hat{i} - 3.00\hat{j})\text{ m}$ and has velocity $(3.00\hat{i} - 2.00\hat{j})\text{ m/s}$. (a) Plot these particles on a grid or graph paper. Draw their position vectors and show their velocities. (b) Find the position of the center of mass of the system and mark it on the grid. (c) Determine the velocity of the center of mass and also show it on the diagram. (d) What is the total linear momentum of the system?