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 23.7 g, 20.1 g, 11.7 g, and 24.9 g. At this very instant the x and y components of the mice's velocities are, respectively, (0.701 m/s, -0.265 m/s), (-0.207 m/s, -0.749 m/s), (0.881 m/s, 0.633 m/s), and (-0.553 m/s, 0.545 m/s). Calculate the x and y components of Bryce's mice's total momentum, p_x and p_y. Number P_x = kg middot m/s Number P_y = kg middot m/s

Explanation / Answer

Px = sum of x-component of all the mice

= 23.7*10^-3*0.701 + 20.1*10^-3*(-0.207) + 11.7*10^-3*0.881 + 24.9*10^-3*(-0.553)

= 8.99*10^-3 kg.m/s

Py = sum of y-component of all the mice

= 23.7*10^-3*(-0.265) + 20.1*10^-3*(-0.749) + 11.7*10^-3*0.633 + 24.9*10^-3*0.545

= -3.59*10^-4 kg.m/s

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