What is the Solution to a Perfectly Inelastic Collision Problem?

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SUMMARY

The discussion centers on solving a perfectly inelastic collision problem involving a 90-kg halfback and a 120-kg opponent. The initial velocities are 9 m/s north and 3 m/s south, respectively. The correct final velocity after the collision is calculated to be 2.14 m/s, with the need to consider the direction of the velocities. The initial calculation of 5.57 m/s was incorrect due to neglecting the negative sign for the southward velocity.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Knowledge of perfectly inelastic collisions
  • Familiarity with vector direction in physics
  • Basic algebra for solving equations
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  • Study the principles of momentum conservation in collisions
  • Learn about the differences between elastic and inelastic collisions
  • Explore vector addition and its application in physics problems
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This discussion is beneficial for physics students, educators, and anyone interested in understanding collision mechanics and momentum conservation in real-world scenarios.

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Homework Statement


A 90-kg halfback running north with a speed of 9 m/s is tackled by a 120-kg opponent running south with a speed of 3 m/s. If the collision is perfectly inelastic and head-on, calculate. (a) the velocity of the players just after the tackle and (b) the total energy lost as a result of the collision.


Homework Equations


m1v1i + m2v2i = (m1 + m2)vf


The Attempt at a Solution


I plugged the masses and velocities into the equation for perfectly inelastic collisions and solved for vf. I got 5.57 m/s and the answer is 2.14 m/s.
 
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Which direction have you picked as positive, north or south?
 
OK I see what I did. I didn't take into account negative velocity. Thanks!
 

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