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 0.0129 kg, 0.0217 kg, 0.0223 kg, and 0.0189 kg. At this very instant, the x‑ and y‑components of the mice's velocities are, respectively, (0.327 m/s,−0.243 m/s), (−0.199 m/s,−0.161 m/s), (0.979 m/s,0.483 m/s), and (−0.107 m/s,0.695 m/s). Calculate the x‑ and y‑components of Bryce's mice's total momentum, px and py.

Answer 1

Let

m1 = 0.0129 kg, v1x = 0.327 m/s, v1y = -0.243 m/s
m2 = 0.0217 kg, v2x = -0.199 m/s, v2y = -0.161 m/s
m3 = 0.0223 kg, v3x = 0.979 m/s, v3y = 0.483 m/s
m4 = 0.0189 kg, v4x = -0.107 m/s, v4y = 0.695 m/s

x-component of total momentum, Px = P1x + P2x + P3x + P4x

= m1*v1x + m2*v2x + m3*v3x + m4*v4x

= 0.0129*0.327 + 0.0217*(-0.199) + 0.0223*0.979 + 0.0189*(-0.107)

= 0.0197 kg.m/s <<<<<<-----------Answer

y-component of total momentum, Py = P1y + P2y + P3y + P4y

= m1*v1y + m2*v2y + m3*v3y + m4*v4y

= 0.0129*(-0.243)+ 0.0217*(-0.161) + 0.0223*0.483 + 0.0189*0.695

= 0.0173 kg.m/s <<<<<<-----------Answer