Extremely Hard Conservation of Momentum Problem

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SUMMARY

The discussion centers on a conservation of momentum problem involving a 0.750 kg block of wood attached to a spring with a spring constant (k) of 300 N/m and a 0.0030 kg bullet. The bullet embeds itself in the block, compressing the spring by 0.102 m. The solution involves using conservation of momentum to find the bullet's velocity before the collision and applying conservation of energy to analyze the system after the collision, confirming that the interaction is inelastic.

PREREQUISITES
  • Understanding of conservation of momentum principles
  • Knowledge of conservation of energy concepts
  • Familiarity with spring mechanics and Hooke's Law
  • Ability to solve equations involving kinetic and potential energy
NEXT STEPS
  • Study inelastic collision equations and their applications
  • Learn about the relationship between kinetic energy and potential energy in spring systems
  • Explore detailed examples of conservation of momentum in multi-object collisions
  • Investigate the effects of varying spring constants on energy transfer
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Students in physics, educators teaching mechanics, and anyone interested in understanding collision dynamics and energy conservation principles.

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Homework Statement


A 0.750kg block of wood is attatched to a spring with k = 300N/m. A 0.0030kg bullet is fired into the block, and the spring is compressed 0.102m.
Calculate the velocity of the bullet before the collision.
Is this elastic or inelastic?


Homework Equations


How do you do it?


The Attempt at a Solution


I attempted using conservation of momentum, but no v1(prime), v2, v2(prime).
I hesitated to use conservation of energy.
 
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Conservation of energy is fine after the bullet is embedded in the block. Consider the various phases of the problem: in the first phase, the bullet travels at some speed and strikes the block. An inelastic collision ensues, giving the ensemble mass some initial velocity. Conservation of momentum will help there. Then the ensemble pushes against the spring, converting its KE to PE in the spring. Conservation of energy will help there.
 

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