Linear Momentum Block and Spring Problem

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SUMMARY

The discussion centers on a physics problem involving a 0.500-kg block attached to a spring with a force constant of 23.0 N/m, which is struck by a 5.60×10^-2 kg wad of putty traveling at 2.00 m/s. The participant initially calculated the kinetic energy of the putty as 0.112 J and attempted to equate it to the potential energy of the spring to find the compression distance. However, they later resolved the problem independently, indicating a successful understanding of the conservation of momentum and energy principles involved.

PREREQUISITES
  • Understanding of linear momentum and its conservation
  • Familiarity with kinetic energy (KE) and potential energy (PE) equations
  • Knowledge of spring force constants and Hooke's Law
  • Ability to solve equations involving multiple masses and velocities
NEXT STEPS
  • Study the conservation of momentum in inelastic collisions
  • Learn about energy transfer in spring systems
  • Explore advanced applications of Hooke's Law in dynamic systems
  • Investigate the effects of friction on spring-block systems
USEFUL FOR

Students studying physics, particularly those focusing on mechanics, as well as educators looking for practical examples of momentum and energy conservation in real-world applications.

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Homework Statement



A 0.500-kg block is attached to a horizontal spring that is at its equilibrium length, and whose force constant is 23.0 N/m. The block rests on a frictionless surface. A 5.60×10^-2 kg wad of putty is thrown horizontally at the block, hitting it with a speed of 2.00 m/s and sticking.

Homework Equations



p=mv

KE=0.5 mv^2

PE=0.5 kx^2

vf= (m1V1,i + m2v2,i)/m1+m2


The Attempt at a Solution



I tried finding the kinetic energy of the wad of putty as it hit the spring and I got 0.112. I then used this as the PE of the spring and solved for x in the PE equation getting 0.099 m. I know that this is wrong however. I just don't know how to attack this problem.
 
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Never mind everyone , I figured it out :)
 

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