Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend

Question

Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time-when they're not sleeping or eating-joyfully scampering about on the cage's floor. Bryce tracks his mice's health diligently and just now recorded their masses as 20.9 g, 13.1 g, 23.5 g, and 16.7 g. At this very instant the x and y components of the mice's velocities are, respectively, (0.167 m/s, -0.181 m/s), (-0.909 m/s, -0.387 m/s), (0.817 m/s, 0.785 m/s), and (-0.401 m/s, 0.265 m/s). Calculate the x and y components of Bryce's mice's total momentum, p_x and p_y.

Explanation / Answer

Just multiply each mouse's mass by its velocity components
then add them up to get and x,y total

px = mi*vix
px = (0.0209*0.167 - 0.0131*0.909 + 0.0235*0.817 - 0.0167*0.401)kg·m/s
px = 0.0004085kg·m/s

py = mi*viy
py = (-0.0209*0.181 - 0.0131*0.387 + 0.0235*0.785 + 0.0167*0.265)kg·m/s
py = 0.0140204 kg·m/s

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