Simple Harmonic Motion and Elasticity

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SUMMARY

The discussion revolves around a physics problem involving a 0.01 kg bullet colliding with a 2.50 kg wooden block attached to a spring with a spring constant of 845 N/m. The bullet becomes embedded in the block, resulting in a completely inelastic collision that compresses the spring and causes oscillation with an amplitude of 0.200 m. The primary question is to determine the speed of the bullet prior to the collision, utilizing principles of conservation of momentum and energy in simple harmonic motion.

PREREQUISITES
  • Understanding of conservation of momentum in inelastic collisions
  • Knowledge of simple harmonic motion principles
  • Familiarity with spring constants and Hooke's Law
  • Basic skills in solving quadratic equations
NEXT STEPS
  • Study the conservation of momentum in inelastic collisions
  • Learn about the energy transformations in simple harmonic motion
  • Explore the mathematical derivation of oscillation amplitude in spring systems
  • Practice solving problems involving spring constants and mass-spring systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and oscillatory motion, as well as educators seeking to enhance their understanding of inelastic collisions and spring dynamics.

Cheddar
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Homework Statement


A 0.01 kg bullet is fired horizontally into a 2.50 kg wooden block attached to one end of a massless, horizontal spring (spring constant = 845 N/m). The other end of the spring is fixed in place, and the spring is unstrained initially. The block rests on a horizontal, frictionless surface. The bullet strikes the block perpendicularly and quickly comes to a halt within it. As a result of this completely inelastic collision, the spring is compressed along its axis and causes the block/bullet to oscillate with an amplitude of 0.200 m.
What is the speed of the bullet?


Homework Equations


I only wish I knew...


The Attempt at a Solution


I'd love to try this problem, since it is for extra credit, if anyone has any suggestions...
 
Physics news on Phys.org
Wow, sorry if you read all that, but I didn't realize the teacher changed the EC question. We aren't doing that one anymore luckily.
 

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