**Physics Problem: Collision of Railroad Cars**A railroad car of mass \( M \) moving at a speed \( v_1 \) collides and couples with two coupled railroad cars, each of the same mass \( M \) moving in the same direction at a speed \( v_2 \).**Questions:**(a) What is the speed \( v_f \) of the three coupled cars after the collision in terms of \( v_1 \) and \( v_2 \)?\[v_f = \frac{v_1 + 2v_2}{3}\](b) How much kinetic energy is lost in the collision? Answer in terms of \( M \), \( v_1 \), and \( v_2 \).\[KE_{\text{lost}} = \frac{m}{3} \left( v_1 - v_2 \right)^2\]**Note:** The final expressions for the speed and kinetic energy lost are enclosed in boxes for emphasis. Errors are marked with a red "X," indicating the need to verify calculations or understanding of the equations. For further assistance, consider reaching out for additional resources or help.**Need Help?**If you require further clarification or assistance, please refer to additional educational materials or seek guidance from an instructor.

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