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 0.0107 kg, 0.0201 kg, 0.0233 kg, and 0.0147 kg. At this very instant the x and y components of the mice's velocities are, respectively, (0.611 m/s, -0.393 m/s), (-0.995 m/s, -0.309 m/s), (0.505 m/s, 0.239 m/s), and (-0.413 m/s, 0.365 m/s). Calculate the x and y components of Bryce's mice's total momentum, px and py.

Explanation / Answer

The x and y components of the mice's velocities are :

v1,xy = (0.611 m/s, -0.393 m/s), v2,xy = (-0.995 m/s, -0.309 m/s),

v3,xy = (0.505 m/s, 0.239 m/s) and v4,xy = (-0.413 m/s, 0.365 m/s)

The x components of Bryce's mice's total momentum which will be given as :

px = m1 v1,x + m2 v2,x + m3 v3,x + m4 v4,x

px = (0.0107 kg) (0.611 m/s) + (0.0201 kg) (-0.995 m/s) + (0.0233 kg) (0.505 m/s) + (0.0147 kg) (-0.413 m/s)

px = (0.0065377 kg.m/s) - (0.0199995 kg.m/s) + (0.0117665 kg.m/s) - (0.0060711 kg.m/s)

px = - 0.0077664 kg.m/s

And

The y components of Bryce's mice's total momentum which will be given as :

py = m1 v1,y + m2 v2,y + m3 v3,y + m4 v4,y

py = (0.0107 kg) (-0.393 m/s) + (0.0201 kg) (-0.309 m/s) + (0.0233 kg) (0.239 m/s) + (0.0147 kg) (0.365 m/s)

py = - (0.0042051 kg.m/s) - (0.0062109 kg.m/s) + (0.0055687 kg.m/s) + (0.0053655 kg.m/s)

py = 0.0005182 kg.m/s

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