Energy and explosions

  • Thread starter ArmandoC
  • Start date
  • #1
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Homework Statement


An explosion breaks an object into two pieces, one of which has 1.5 times the mass of the other. If 7400 J were released in the explosion, how much kinetic energy did each piece acquire?


Homework Equations


Momentum?
Kinetic Energy?


The Attempt at a Solution


I used all types of formulas having to do with energies and momentum and nothing gave me an answer.
 

Answers and Replies

  • #2
Use conservation of linear momentum along the horizontal since all the forces are internal (the energy that the explosion released was stored inside the projectile/object).

You know that m1v1+m2v2=0. And are given that m1=1.5m2.
Also, the total energy released in the explosion is converted into kinetic energy (you have to assume that), so [tex]0.5m_1v_1^2+ 0.5m_2v_2^2=7500[/tex]. Solve for v1/v2 and find the KE of each piece.
 

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