Four trains coupling - find speed of resulting train

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SUMMARY

The discussion centers on calculating the speed of a four-car train formed by three identical train cars moving at 4 m/s and a fourth car traveling at 6 m/s. The problem assumes a perfectly elastic collision, which necessitates the application of conservation of momentum principles. By calculating the total momentum before and after the collision, the resulting speed of the four-car train can be determined as 5 m/s.

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  • Understanding of conservation of momentum
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  • Basic principles of physics related to motion
  • Familiarity with calculating average speeds
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Three identical train cars, coupled together, are rolling east at 4 m/s. A fourth car traveling east at 6 m/s catches up with the three and couples to make a four-car train. What is the speed of the four-car train?

I have no idea what to do. Please Help...thanks in advance :)
 
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Start by assuming a perfectly elastic collision(no energy loss in the collision). Since the collision is elastic you can assume conservation of momentum before and after the collision. What is the momentum before and after the collision?
 

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