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 0.0161 kg, 0.0131 kg, 0.0229 kg, and 0.0245 kg. At this very instant the x and y components of the mice?s velocities are, respectively, (0.659 m/s, .0.395 m/s), (-0.803 m/s, -0.229 m/s), (0.797 m/s, 0.689 m/s), and (-0.241 m/s, 0.599 m/s). Calculate the x and y components of Bryce?s mice?s total momentum, px and py. Number Px= kg.m/s Number Py= kg.m/s

Explanation / Answer

m1 = 0.0161 kg

m2 = 0.0131 kg

m3 = 0.0229 kg

m4 = 0.0245 kg

v1 = (0.659,-0.395) m/s

v2 = (-0.803,-0.229) m/s

v3 = (0.797,0.689) m/s

v4 = (-0.241,0.599) m/s

So, Total momentum, P = m1*v1+m2*v2+m3*v3

So, P =  0.0161*(0.659,-0.395) + 0.0131*(-0.803,-0.229)+0.0229*(0.797,0.689)+0.0245*(-0.241,0.599) kg.m/s

So, P = (0.0106,-0.0064) + (-0.0105,-0.0030) + (0.0183,0.0158) + (-0.0059,0.0147)

So, P = (0.0125,0.0211) kg.m/s

So, Px = 0.0125 kgm/s <--------answer

and Py = 0.0211 kgm/s <-------answer

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