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 15.7 g, 16.3 g, 22.7 g, and 22.1 g. At this very instant the x and y components of the mice's velocities are, respectively, (0.539 m/s, -0.271 m/s), (-0.943 m/s, -0.151 m/s), (0.517 m/s, 0.485 m/s), and (-0.713 m/s, 0.905 m/s).

Calculate the x and y components of Bryce's mice's total momentum, px and py.

Explanation / Answer

15.7 g, 16.3 g, 22.7 g, and 22.1 g
0.539 m/s, -0.271 m/s), (-0.943 m/s, -0.151 m/s), (0.517 m/s, 0.485 m/s), and (-0.713 m/s, 0.905 m/s).


total momentum
Px = 15.7 x 0.539 + 16.3 x (-0.943) + 22.7 x 0.517 + 22.1 x (-0.713)
Px = 8.4623 - 15.3709+11.7359 - 15.7573
Px = - 10.93 g.m/s = - 0.01093 kg.m/s

Py = 15.7 x (-0.271) + 16.3 x (-0.151) + 22.7 x 0.485+ 22.1 x (0.905)

Py = - 4.2547 - 2.4613+11.0095+20.0005

Py = 24.194 g.m/s = 0.024 kg.m/s

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