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 0.0237 kg, 0.0139 kg, 0.0147 kg, and 0.0153 kg. At this very instant the x and y components of the mice's velocities are, respectively, (0.613 m/s, -0.161 m/s), (-0.263 m/s, -0.567 m/s), (0.347 m/s, 0.297 m/s), and (-0.483 m/s, 0.497 m/s). Calculate the x and y components of Bryce's mice's total momentum, px and py.

Explanation / Answer

Momentum P = mass* velocity

so

P = m1v1x + m2V2x+ m3V3x+ m4V4x

Px = (0.0237* 0.613) -( 0.0139 *0.263)+ (0.0147*0.347) - (0.0153 * 0.483)

Px = 0.0085 kgm/s

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along Y

P = m1v1y + m2V2y+ m3V3y+ m4V4y

Px = -(0.0237* 0.161) -( 0.0139 *0.567)+ (0.0147*0.297) - (0.0153 * 0.497)

Px = 0.0149 kgm/s

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