How Do You Calculate the Velocity of Wreckage After a Head-On Collision?

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SUMMARY

The calculation of the velocity of wreckage after a head-on collision involves applying the principle of conservation of momentum. In this scenario, Vehicle 1 (1245 kg) traveling south at 20.0 m/s and Vehicle 2 (910 kg) traveling north at 26.0 m/s collide inelastically. The correct formula to determine the final velocity (vf) is vf = (m1 * v1 + m2 * v2) / (m1 + m2), where direction must be considered. The accurate final velocity of the wreckage is 0.58 m/s, contrary to the incorrect calculation of 22.5336 m/s.

PREREQUISITES
  • Understanding of conservation of momentum in physics
  • Familiarity with inelastic collisions
  • Basic knowledge of vector addition for velocity
  • Proficiency in algebra for solving equations
NEXT STEPS
  • Study the principles of conservation of momentum in collisions
  • Learn about inelastic collision equations and their applications
  • Explore vector addition and its importance in physics problems
  • Practice solving collision problems with varying masses and velocities
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Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators seeking to clarify concepts related to momentum and inelastic collisions.

Chica1975
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Homework Statement



2 vehicles made a totally inelastic head-on collision on the highway. Vehicle 1 of mass 1245kg was traveling southward at 20.0m/s. Vehicle 2 of mass 910kg was traveling northward at 26.0m/s. what was the velocity of the tangled wreckage?


Homework Equations


vf= ma1va1+mb2vb2/ma+mb


The Attempt at a Solution


I plugged in the information as per the equation above, however, I keep getting a different answer to that of my lecturer - I get 22.5336 m/s
The correct answer is 0.58 m/s

PLEASE HELP WHERE AM I GOING WRONG?
 
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you have to take into consideration the direction of their velocity. You did everything right but did not take into account their direction of motion. I used what you gave and i got your lecture answer
 

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