Question

4. A particle of mass 10 kg moving with velocity \( \left(\begin{array}{cc}2 & 1 \\ 3 & -1\end{array}\right) m s^{-1} \) collide with another particle of mass 5 kg moving with a velocity \( \left(\begin{array}{cc}1 & -2 \\ -3 & 4\end{array}\right) \mathrm{ms}^{-1} \). If they were moving in opposite directions. Find the magnitude of their common velocity.

          4. A particle of mass 10 kg moving with velocity \( \left(\begin{array}{cc}2 & 1 \\ 3 & -1\end{array}\right) m s^{-1} \) collide with another particle of mass 5 kg moving with a velocity \( \left(\begin{array}{cc}1 & -2 \\ -3 & 4\end{array}\right) \mathrm{ms}^{-1} \). If they were moving in opposite directions. Find the magnitude of their common velocity.

4. A particle of mass 10 kg moving with velocity (
2 1
3 -1
) m s^-1 collide with another particle of mass 5 kg moving with a velocity (
1 -2
-3 4
) ms^-1. If they were moving in opposite directions. Find the magnitude of their common velocity.

Added by Margaret P.

Understanding Physics

Karen Cummings, Priscilla W. Laws,… 1st Edition

Chapter 7

Instant Answer

Solved by Expert Ashar Tanveer

Step 1

- Mass of particle 1, \( m_1 = 10 \, \text{kg} \) - Velocity of particle 1, \( \mathbf{v_1} = \begin{pmatrix} 2 & 1 \\ 3 & -1 \end{pmatrix} \, \text{m/s} \) - Mass of particle 2, \( m_2 = 5 \, \text{kg} \) - Velocity of particle 2, \( \mathbf{v_2} = Show more…

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4. A particle of mass 10 kg moving with velocity \( \left(\begin{array}{cc}2 & 1 \\ 3 & -1\end{array}\right) m s^{-1} \) collide with another particle of mass 5 kg moving with a velocity \( \left(\begin{array}{cc}1 & -2 \\ -3 & 4\end{array}\right) \mathrm{ms}^{-1} \). If they were moving in opposite directions. Find the magnitude of their common velocity.