Calculating Final Speed in Elastic Collision: Uranium Atom and Hydrogen Molecule

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SUMMARY

The discussion focuses on calculating the final speed of a hydrogen molecule after an elastic collision with a uranium atom traveling at 4 m/s. The final speed of the hydrogen molecule is determined to be approximately 8 x 10^4 m/s. Key concepts include the conservation of momentum and kinetic energy, which are essential for solving elastic collision problems. The participant struggled with applying the correct formulas and understanding the mass differences between the uranium atom and the hydrogen molecule.

PREREQUISITES
  • Understanding of elastic collision principles
  • Knowledge of momentum conservation laws
  • Familiarity with kinetic energy equations
  • Basic understanding of atomic mass differences
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  • Study the conservation of momentum in elastic collisions
  • Learn how to apply kinetic energy formulas in collision scenarios
  • Research the mass of uranium and hydrogen atoms for accurate calculations
  • Explore examples of elastic collisions in physics problems
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Students studying physics, particularly those focusing on mechanics and collision theory, as well as educators looking for examples of elastic collision problems.

weizhi li
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Homework Statement


a uranium atom traveling at speed 4 *
cramster-equation-20095141845396337792353984075008046.gif
m/s collides elastically with astationary hydrogen molcule. head on. what is the approximate finalspeed of the hydrogen molecule?

Homework Equations


The answer is about 8*10^4 m/s

But, i tried many times and failed.

The Attempt at a Solution


MY thought is that the speed of uranium atom after collision should be the same but in different direction, which means the momentum of hydrogen after collision is 2*p1(p1 is uranium momentum before collision). and use this to calculate the speed by plugging into the formula k = p^2 / 2m
 
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The problem is an exercise in elastic collision. Your relevant equations should include formulas that pertain to elastic collisions. In particular, the conservation laws that are applicable. You also need to look up the relative masses of the particles in question.
 

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