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 14.5 g, 12.5 g, 18.7 g, and 18.9 g. At this very instant the x and y components of the mice's velocities are, respectively, (0.355 m/s, -0.269 m/s), (-0.111 m/s, -0.123 m/s), (0.873 m/s, 0.797 m/s), and (-0.351 m/s, 0.157 m/s). Calculate the x and y components of Bryce's mice's total momentum, p_x and p_y.

Explanation / Answer

m1= 0.0145kg, v1x=0.355m/s, v1y=-0.269m/s

P1x=m1v1x =0.0145*0.355 = 0.0051475 kg*m/s

P1y=m1v1y =0.0145*-0.269 = -0.0039005 kg*m/s

m2= 0.0125kg, v2x=-0.111m/s, v2y=-0.123m/s

P2x=m1v1x =0.0125*-0.111 = -0.0013875 kg*m/s

P2y=m1v1y =0.0125*-0.123 = -0.0015375 kg*m/s

m1= 0.0187kg, v3x=0.873m/s, v3y=0.797m/s

P3x=m1v1x =0.0187*0.873 = 0.0163251 kg*m/s

P3y=m1v1y =0.0187*0.797 = 0.0149039 kg*m/s

m4= 0.0189kg, v4x=-0.351m/s, v4y=0.157m/s

P4x=m1v1x =0.0189*-0.351 = -0.0066339 kg*m/s

P4y=m1v1y =0.0189*0.157 = 0.0029673 kg*m/s

Px=P1x+P2x+P3x+P4x = 0.0051475-0.0013875+0.0163251-0.0066339 = 0.0134512 kg*m/s

Py=P1y+P2y+P3y+P4y = -0.0039005-0.0015375+0.0149039+0.0029673 = 0.0124332 kg*m/s

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