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 0.0169 kg, 0.0139 kg, 0.0109 kg, and 0.0239 kg. At this very instant the x and y components of the mice's velocities are, respectively, (0.487 m/s, -0.939 m/s), (-0.983 m/s, -0.721 m/s), (0.991 m/s, 0.489 m/s), and (-0.245 m/s, 0.587 m/s). Calculate the x and y components of Bryce's mice's total momentum, px and py.

Explanation / Answer

momentum = M*V

X component of momentum of all mice's = add all mice's momentum in x direction

X component of momentum of all mice's =  (0.0169 x 0.487) + (0.0139 x -0.983) + (0.0109 x 0.991) + (0.0239 x -0.245)

Px component of momentum of all mice's = -0.000487 kg.m/s

Y component of momentum of all mice's = add all mice's momentum in y direction

Py component of momentum of all mice's = ( 0.0169 x  -0.939) + (0.0139 x -0.721) + (0.0109 x 0.489) + (0.0239 x 0.587)

Py component of momentum of all mice's = -0.0065316 kg.m/s

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