Determining velocity of objects after collision

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SUMMARY

The discussion centers on determining the final velocities of two colliding objects using the Momentum Principle and the Energy Principle in the context of an elastic collision. A projectile of mass m1, moving with speed v1 in the -x direction, strikes a stationary target of mass m2. The conservation of momentum equation P1f + P2f = P1i + P2i is established, with the initial momentum of the target (P2i) being zero due to its stationary state. Participants confirm the use of both momentum and energy conservation principles to solve for the final velocities.

PREREQUISITES
  • Understanding of the Momentum Principle in physics
  • Knowledge of the Energy Principle and conservation of energy
  • Familiarity with elastic collisions and their properties
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of final velocities in elastic collisions using conservation laws
  • Learn about one-dimensional elastic collision equations
  • Explore examples of elastic collisions in different mass scenarios
  • Investigate the implications of inelastic collisions and their differences from elastic collisions
USEFUL FOR

Students and educators in physics, particularly those focusing on mechanics and collision theory, as well as anyone interested in applying conservation laws to solve problems in dynamics.

sikrut
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"A projectile of mass m1 moving with speed v1 in the -x direction strikes a stationary target of mass m2 head-on. The collision is elastic. Use the Momentum Principle and the Energy Principle to determine the final velocities of the projectile and target, making no approximations concerning the masses. "


All I've gotten so far is that:

P1f + P2f = P1i + P2i

but v2i = 0 SO P2i = 0

am I on the right track? I'm pretty much lost at this point.
 
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sikrut said:
All I've gotten so far is that:

P1f + P2f = P1i + P2i

but v2i = 0 SO P2i = 0

am I on the right track?

Yes, P2i = 0, go ahead. You have also conservation of energy.

ehild
 

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