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 0.0225 kg, 0.0223 kg, 0.0197 kg, and 0.0127 kg. At this very instant the x and y components of the mice/'s velocities are, respectively, (0.869 m/s, - 0.283 m/s), (-0.883 m/s, - 0.253 m/s), (0.345 m/s, 0.803 m/s), and (-0.555 m/s, 0.205 m/s). Calculate the x and y components of Bryce/'s mice/'s total momentum, px and py.

mice total momentum (-0.000250, 0.00639) Kg m

Explanation:

To calculate the moment of the mice we must multiply their mass by their velocities, remember that the moment is a vector quantity, so we use the components of velocity

mouse 1

m1 = 0.0225 Kg

V1 = (0.869, - 0.283) m / s

Px = m Vx

Px1 = 0.0225 0.869

Px1 = 0.01955 Kg m

Py = m Vy

Py1 = 0.0225 (-0.283)

Py1 = - 0.006368 Kg m

P1 = (0.0196, - 0.00637) Kg m

Mouse 2

m2 = 0.0223 Kg

Px2 = 0.0223 (-0.883) = - 0.0196 Kg m

Py2 = 0.0223 (-0.253) = - 0.00564 Kg m

P2 = (-0.0196, - 0.00564) Kg m

Mouse 3

m3 = 0.0197

Px3 = 0.0197 0.345 = 0.00680 Kg m

Py3 = 0.0197 0.803 = 0.0158 Kg m

P3 = (0.00680, 0.0158) Kg m

Mouse4

m4 = 0.0127 Kg

Px4 = 0.0127 (-0.555) = - 0.00705 Kg m

Py4 = 0.0127 0.205 = 0.00260 Kg m

P4 = (-0.00705, 0.00260) Kg m

To find the total momentum we must add each component of the individual moments

Px = Px1 + Px2 + Px3 + Px4

Py = py1 + Py2 + Py3 + Py4

Px = 0.0196 - 0.0196 + 0.00680 - 0.00705

Px = - 0,000250 Kg m

Py = - 0.00637 - 0.00564 + 0.0158 + 0.00260

Py = 0.00639 Kg m

P = (-0.000250, 0.00639) Kg m