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 0.0203 kg, 0.0239 kg, 0.0177 kg, and 0.0179 kg. At this very instant the x and y components of the mice's velocities are, respectively, (0.665 m/s, -0.147 m/s), (-0.703 m/s, -0.617 m/s), (0.937 m/s, 0.123 m/s), and (-0.337 m/s, 0.995 m/s). Calculate the x and y components of Bryce's mice's total momentum, px and py.

Explanation / Answer

m1=0.0203 kg, m2 =0.0239 kg, m3 =0.0177 kg, m4= 0.0179 kg.

v1=(0.665 m/s, -0.147 m/s), v2 =(-0.703 m/s, -0.617 m/s)

v3 =(0.937 m/s, 0.123 m/s), v4 =(-0.337 m/s, 0.995 m/s)

Momentum p =mv

px =m1v1x +m2v2x +m3v3x +m4v4x

px = (0.0203*0.665) - (0.0239*0.703) + (0.0177*0.937) - (0.0179*0.337)

px = 0.0072504 kg.m/s

px = 7.25x10-3 kg.m/s

py =m1v1y +m2v2y +m3v3y +m4v4y

py = -(0.0203*0.147) - (0.0239*0.617) + (0.0177*0.123) + (0.0179*0.995)

py = 0.0022572 kg.m/s

py = 2.257x10-3 kg.m/s

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