Owen Burns
07/05/2024 · Elementary School
Consider a system of three particles: One particle has mass \( m_{1}=3 \mathrm{~kg} \), position \( \vec{r}_{1}=<5,3,-5>\mathrm{m} \), and velocity \( \vec{v}_{1}=<2,-9,-5>\mathrm{m} / \mathrm{s} \). The sécond particle has mass \( m_{2}=8 \mathrm{~kg} \), position \( \vec{r}_{2}=<0,1,-3>\mathrm{m} \), and velocity \( \vec{v}_{2}=<4,-1,1>\mathrm{m} / \mathrm{s} \), The third particle has mass \( m_{3}=8 \mathrm{~kg} \), position \( \vec{r}_{3}=<4,3,-1>\mathrm{m} \), and velocity \( \vec{v}_{3}=<8,-1,0>\mathrm{m} / \mathrm{s} \). Find the total momentum of the system consisting of all three particles.
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The total momentum of the system is \( \langle 102, -43, -7 \rangle \, \text{kg m/s} \).
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