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Map coa Sapling Learning macmilan learning Bryce, a mouse lover, keeps his four

ID: 1583614 • Letter: M

Question

Map coa Sapling Learning macmilan learning 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 0.0163 kg, 0.0251 kg, 0.0153 kg, and 0.0199 kg. At this very instant the x and y components of the mice's velocities are, respectivel (0.679 m/s, -0.269 m/s). (-0.109 m/s. -0.209 m/s). (0.339 m/s, 0.975 m/s), and (0.911 m/s, 0.921 m/s). Calculate the x and y components of Bryce's mice's total momentum, py and py Number kg m/s Number kg m/s

Explanation / Answer

here,

m1 = 0.0163 kg is at v1 = (0.679 m/s , - 0.269 m/s )

m2 = 0.0251 kg is at v2 = ( - 0.109 m/s , - 0.209 m/s)

m3 = 0.0153 kg is at v3 = ( 0.339 m/s , 0.975 m/s)

m4 = 0.0199 kg is at v4 = ( -0.911 m/s , 0.921 m/s)

the x coordinate of total momentum , Px = ( m1 * v1x + m2 * v2x + m3 * v3x + m4 * v4x)/(m1 + m2 + m3 + m4)

Px = ( 0.0163 * 0.679 - 0.0251 *0.109 + 0.0153 * 0.339 - 0.0199 * 0.911)/(0.0163 + 0.0251 + 0.0153 + 0.0199) kg.m/s

Px = - 0.06 kg.m/s

the y coordinate of total momentum , Py = ( m1 * v1y + m2 * v2y + m3 * v3y + m4 * v4y)/(m1 + m2 + m3 + m4)

Py = (- 0.0163 * 0.269 - 0.0251 *0.209 + 0.0153 * 0.975 + 0.0199 * 0.921)/(0.0163 + 0.0251 + 0.0153 + 0.0199) kg.m/s

Py = 0.31 kg.m/s

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