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%u2013when they're not sleeping or eating%u2013joyfully scampering about on the cage's floor. Bryce tracks his mice's health diligently and just now recorded their masses as 15.5 g, 22.1 g, 17.3 g, and 20.1 g. At this very instant the x and y components of the mice's velocities are, respectively, (0.729 m/s, -0.985 m/s), (-0.359 m/s, -0.587 m/s), (0.881 m/s, 0.367 m/s), and (-0.631 m/s, 0.245 m/s). Calculate the x and y components of Bryce's mice's total momentum, px and py.

px= ? kg m/s

py= ? kg m/s

Explanation / Answer

Total x-component of momentum (px) = %u03A3 mi* vxi   [ m = mass ; vxi = velocity in x direction]

Total y-component of momentum (py) = %u03A3 mi* vyi   [ m = mass ; vyi = velocity in y direction]

px = (15.5*0.729) + (22.1*(-0.359)) +(17.3*0.881) +(20.1*(-0.631)) = 5.9238 g.m/s=5.9238*10^-3 kgm/s

py = (15.5*(-0.985)) +( 22.1*(-0.587)) +(17.3*0.367) + (20.1*0.245) = -16.96 g.m/s=-16.96*10^-3 kgm/s

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