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 0.0119 kg, 0.0233 kg, 0.0229 kg, and 0.0151 kg. At this very instant the x and y components of the mice's velocities are, respectively, (0.873 m/s, -0.285 m/s), (-0.537 m/s, -0.143 m/s), (0.563 m/s, 0.249 m/s), and (-0.815 m/s, 0.379 m/s). Calculate the x and y components of Bryce's mice's total momentum, px and py.

Explanation / Answer

the x component of momentum:

px = mi*vix
px = (0.0119*0.873 - 0.0233*0.537 + 0.0229*0.563 - 0.0151*0.815)kg·m/s
px = -0.0015372 kg·m/s

and the y component of momentum: py = mi*viy
py = (-0.0119*0.285 - 0.0233*0.143 + 0.0229*0.249 + 0.0151*0.379)kg·m/s
py = 0.0047016 kg·m/s

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