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 0.02350.0235 kg, 0.02130.0213 kg, 0.01490.0149 kg, and 0.01290.0129 kg. At this very instant, the x‑x‑ and y‑y‑components of the mice's velocities are, respectively, (0.667 m/s,−0.757 m/s)(0.667 m/s,−0.757 m/s), (−0.173 m/s,−0.679 m/s)(−0.173 m/s,−0.679 m/s), (0.703 m/s,0.335 m/s)(0.703 m/s,0.335 m/s), and (−0.209 m/s,0.823 m/s)(−0.209 m/s,0.823 m/s). Calculate the x‑x‑ and y‑y‑components of Bryce's mice's total momentum, pxpx and pypy.

Accepted Solution

Answer:[tex]p_x=0.0198[/tex] kg*m/s[tex]p_y=-0.0166[/tex] kg*m/sStep-by-step explanation:Momentum is mass * velocity.To find p_x, the x-component of momentum, we sum all the mass * velocities (x coordinate).To find p_y, the y-component of momentum, we sum all the mass * velocities (y coordinates).Hence:[tex]p_x=(.0235*.667)+(.0213*-0.173)+(.0149*.703)+(.0129*-.209)\\p_x=0.0198[/tex]and[tex]p_y=(.0235*-.757)+(.0213*-.679)+(.0149*.335)+(.0129*.823)\\p_y=-0.0166[/tex]