Conservation of Momentum in Explosions

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SUMMARY

The discussion centers on the conservation of momentum in explosions, specifically examining two carts before and after an explosion. When both carts are initially at rest, their momenta are equal post-explosion. However, if the carts have an initial velocity (v0), while momentum is conserved, the momenta of the two carts may not be equal after the explosion due to the vector nature of momentum. This distinction is crucial for understanding momentum conservation in different scenarios.

PREREQUISITES
  • Understanding of basic physics concepts, particularly momentum.
  • Familiarity with vector quantities in physics.
  • Knowledge of the principle of conservation of momentum.
  • Ability to analyze motion before and after an event, such as an explosion.
NEXT STEPS
  • Study the principle of conservation of momentum in various physical systems.
  • Explore vector addition and its implications in momentum calculations.
  • Investigate real-world applications of momentum conservation in collisions and explosions.
  • Learn about momentum in elastic and inelastic collisions to deepen understanding.
USEFUL FOR

Students studying physics, educators teaching momentum concepts, and anyone interested in understanding the dynamics of explosions and collisions in physical systems.

anton717
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Homework Statement



Cart 1 and cart 2 are initially at rest, and after the explosion the momentum of the two carts was the same. If the two carts were moving at some initial speed v0 before the explosion: would the momentum of the two carts still be equal?

Homework Equations


Momentum. mvi=mvf

The Attempt at a Solution


I am 99% sure that the momentum will be conserved (makes logical sense). But since its physics, I want to make sure that its 100% correct. :) Thank you
 
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Hello, anton717.

Consider the first case where the two carts were initially at rest. If you take into account that momentum is a vector quantity, is it really true that the momentum of each cart was the same after the explosion?

For the second case where the carts are initially moving, you are right that momentum is conserved. But the question is whether or not the momenta of the two carts are equal to each other after the explosion.
 

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