A 23.9 $k g$ $kg$ mass has a $3 i - 2 j \frac{m}{s}$ $3i-2jm/s$ velocity and a 21.3 $k g$ $kg$ mass has a $3 i - 10 j \frac{m}{s}$ $3i-10jm/s$ velocity. What is the magnitude of the total momentum of the two masses?

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Answer 1 · 2018-02-15T08:23:12

$please have a look at the fallowing details.$ $"please have a look at the fallowing details."$

${\to P}_{1} = m_{1} \cdot {\to v}_{1}$ $vec P_1=m_1*vec v_1$

${\to P}_{1} = 23.9 \cdot (3 i - 2 j) = 71.7 i - 47.8 j$ $vec P_1=23.9*(3i-2j)=71.7i-47.8j$

${\to P}_{2} = m_{2} \cdot {\to v}_{2}$ $vec P_2=m_2*vec v_2$

${\to P}_{2} = 21.3 (3 i - 10 j) = 63.9 i - 213 j$ $vec P_2=21.3(3i-10j)=63.9i-213j$

$Sigma vec P=vec P_1+vec P_2$

$Sigma vec P=71.7i+63.9i+(-47.8j-213j)$

$Sigma vec P=135.6i-260.8j" total momentum vector"$

$P=sqrt((135.6)^2+(-260.8)^2)" magnitude"$

$P=sqrt(18387.36+68016.64)$

$P=293.95 kg " "*ms^-1$

A 23.9 kgkgkg mass has a 3i-2jm/s3i−2jms3i-2jm/s velocity and a 21.3 kgkgkg mass has a 3i-10jm/s3i−10jms3i-10jm/s velocity. What is the magnitude of the total momentum of the two masses?