Solution 15.7a

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(New page: <math>m=\text{ 2}\text{ kg}</math>, <math>\quad \mathbf{u}=12\mathbf{i}\ \text{ m}{{\text{s}}^{-1}}</math>, <math>\quad \mathbf{v}=6\mathbf{j}\ \text{ m}{{\text{s}}^{-1}}</math> <math>\...)
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\displaystyle m=\text{ 2}\text{ kg}, \displaystyle \quad \mathbf{u}=12\mathbf{i}\ \text{ m}{{\text{s}}^{-1}}, \displaystyle \quad \mathbf{v}=6\mathbf{j}\ \text{ m}{{\text{s}}^{-1}}


\displaystyle \begin{align} & \mathbf{I}=m\mathbf{v}-m\mathbf{u} \\ & =2(6\mathbf{j})-2\left( 12\mathbf{i} \right) \\ & =-24\mathbf{i}+12\mathbf{j} \\ & I=\sqrt{{{(-24)}^{2}}+{{12}^{2}}} \\ & =26\textrm{.}8\text{ Ns} \end{align}