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Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend

ID: 1794300 • Letter: B

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 0.0137 kg, 0.0199 kg, 0.0171 kg, and 0.0165 kg. At this very instant the x and y components of the mice's velocities are, respectively, (0.907 m/s,-0.291 m/s), (-0.169 m/s,0.811 m/s), (0.557 m/s. O.557 m/s), and (-0.427 m/s, 0.869 m/s) Calculate the x and y components of Bryce's mice's total momentum, px and py Number kg m/s Number kg m/s

Explanation / Answer

here,

m1 = 0.0137 kg , m2 = 0.0199 kg

m3 = 0.0171 kg

m4 = 0.0165 kg

the x component of mice's total momentum , Px = (m1 * 0.907 - m2 * 0.169 + m3 * 0.557 - m4 * 0.427) /( m1 + m2 + m3 + m4)

Px = (0.0137 * 0.907 - 0.0199 * 0.169 + 0.0171 * 0.557 - 0.0165 * 0.427) /( 0.0137 + 0.0199 + 0.0171 + 0.0165)

Px = 1.72 * 10^-1 kg.m/s

the y component of mice's total momentum , Py = (- m1 * 0.291 - m2 * 0.811 + m3 * 0.557 + m4 * 0.869) /( m1 + m2 + m3 + m4)

Py = (- 0.0137 * 0.291 - 0.0199 * 0.811 + 0.0171 * 0.557 + 0.0165 * 0.869) /( 0.0137 + 0.0199 + 0.0171 + 0.0165)

Py = 5.56 * 10^-2 kg.m/s

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