What Is the Speed of Trucks After a Perfectly Inelastic Collision?

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SUMMARY

The speed of two trucks after a perfectly inelastic collision can be calculated using the principle of conservation of momentum. In this scenario, two trucks with equal masses are moving towards each other at speeds of 50 mi/hr and 60 mi/hr. The combined speed after the collision is determined to be 55 mi/hr, derived from the equation P_1 + P_2 = (2M) V_f, where the total momentum before the collision equals the momentum after the collision.

PREREQUISITES
  • Understanding of momentum conservation principles
  • Familiarity with vector addition in physics
  • Basic algebra for solving equations
  • Knowledge of perfectly inelastic collisions
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  • Study the concept of momentum in one-dimensional collisions
  • Learn about perfectly inelastic collision equations
  • Explore vector addition techniques in physics
  • Review examples of collision problems in physics textbooks
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Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators looking for examples of momentum conservation in real-world scenarios.

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Homework Statement



Two trucks with same masses are moving toward each other along a straight line with speeds of 50 mi/hr and 60 mi/hr. What is the speed of the combined trucks after completely inelastic collision?

Homework Equations


P_{}1+P_{}2= (2M) V_{}f


The Attempt at a Solution



Given the trucks we can assign a random mass. To make it easy Mass = 1. So 60+50= 2V_{}f Solve it and you get 55 mi/hr. Is this correct?
 
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Think of the trucks as two vectors going the opposite direction. One with a magnitude of 50 mph and one with a magnitude of 60 mph. Take the sum of these two vectors.
 

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