What is the combined speed of linked model train cars with different masses?

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SUMMARY

The combined speed of linked model train cars can be determined using the principle of conservation of momentum. In this scenario, a model train car with a mass of 230 g traveling at 0.50 m/s links with another car of mass 430 g at rest. The correct calculation shows that the speed of the combined system immediately after linking is 0.30 m/s, not 0.17 m/s. This result is derived from the formula for momentum conservation: (m1 * v1 + m2 * v2) / (m1 + m2).

PREREQUISITES
  • Understanding of momentum conservation principles
  • Basic knowledge of mass and velocity units (grams and meters per second)
  • Ability to perform arithmetic operations with fractions and decimals
  • Familiarity with the concept of linked systems in physics
NEXT STEPS
  • Study the conservation of momentum in elastic and inelastic collisions
  • Explore the effects of mass differences on speed in linked systems
  • Learn about real-world applications of momentum in transportation systems
  • Investigate the impact of friction on moving objects in model train setups
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Physics students, model train enthusiasts, and anyone interested in understanding the dynamics of linked systems and momentum conservation.

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A model-train car of mass 230 g traveling with a speed of 0.50 m/s links up with another car of mass 430 g that is initially at rest. What is the speed of the cars immediately after they have linked together?
 
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i have been working online for it but it is coming out wrong, i get .17
 
maybe you forgot your units?
 

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