**Physics Problem: Conservation of Momentum in Train Car Collisions**You have three identical train cars, each of mass 2,618 kg, that are coupled (attached) together. These cars are moving north at a speed of 5.6 m/s. A fourth train car, which has the same mass, is moving north at a speed of 7.6 m/s, and when it catches up with the other cars, couples to that set, so that all four are now coupled. One minute later, the four cars now hit a fifth identical car that was at rest on the tracks, causing it to couple with the rest.**Question:**What is the speed of the five-car train?**Your Answer:**[ ______ ] [units]To solve this problem, use the principle of conservation of momentum.**Momentum Before and After Coupling:**1. **Initial Momentum:** - Three cars moving at 5.6 m/s: \( p_1 = 3 \times 2,618\, \text{kg} \times 5.6\, \text{m/s} \) - One car moving at 7.6 m/s: \( p_2 = 2,618\, \text{kg} \times 7.6\, \text{m/s} \)2. **After the Fourth Car Couples:** - Combine the momentum: \( P_{\text{total}} = p_1 + p_2 \) - Total mass of four cars: \( M_{\text{total}} = 4 \times 2,618\, \text{kg} \) - Speed after coupling (\(v_4\)): \( v_4 = \frac{P_{\text{total}}}{M_{\text{total}}} \)3. **After Coupling with the Fifth Car:** - Fifth car is initially at rest: \( p_3 = 0 \) - Total mass of five cars: \( M_{5} = 5 \times 2,618\, \text{kg} \) - Speed after coupling (\(v_5\)): \( v_{5} = \frac{(M_{\text{total}} \times v_4)}{M_{5}} \)This way, by applying the conservation of momentum principle and solving step

Name: **Physics Problem: Conservation of Momentum in Train Car Collisions**
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Description: **Physics Problem: Conservation of Momentum in Train Car Collisions**You have three identical train cars, each of mass 2,618 kg, that are coupled (attached) together. These cars are moving north at a speed of 5.6 m/s. A fourth train car, which has t

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You have three identical train cars, each of mass 2,618 kg, that are coupled (attached) together. These cars are moving north at a speed of 5.6 m/s. A fourth train car, which has the same mass, is moving north at a speed of 7.6 m/s, and when it catches up with the other cars, couples to that set, so that all four are now coupled. One minute later, the four cars now hit a fifth identical car that was at rest on the tracks, causing it to couple with the rest. What is the speed of the five car train? Your Answer: units Answer

You have three identical train cars, each of mass 2,618 kg, that are coupled (attached) together. These cars are moving north at a speed of 5.6 m/s. A fourth train car, which has the same mass, is moving north at a speed of 7.6 m/s, and when it catches up with the other cars, couples to that set, so that all four are now coupled. One minute later, the four cars now hit a fifth identical car that was at rest on the tracks, causing it to couple with the rest. What is the speed of the five car train? Your Answer: units Answer

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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