Internal explosion, kinetic energy prob

AI Thread Summary
An internal explosion divides an object at rest into two pieces with one piece having 1.5 times the mass of the other, releasing 7500 J of energy. The kinetic energy acquired by each piece can be determined using the conservation of momentum and energy equations. The total kinetic energy from the explosion is equal to the energy released, and momentum conservation must be applied to relate the velocities of the two pieces. The challenge lies in correctly applying these principles to find the individual kinetic energies. A clear understanding of the relationship between mass, velocity, and kinetic energy is essential for solving this problem.
pb23me
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Homework Statement


an internal explosion breaks an object, initially at rest, into two pieces, one of which has 1.5 times the mass of the other. If 7500 J were released in the explosion, how much kinetic energy did each piece acquire.


Homework Equations


mgyi+1/2mvi2=mgyf+1/2mvf2


The Attempt at a Solution

not to sure how to go about solving this one..
 
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You don't need that (mgy). Energy released in the explosion will go into kinetic energy of two pieces. And will linear momentum be conserved in this case? if so, use this fact.
 
ok well understand that m1v+m2v=m1vf+m2
and KE=p2/2m ... but i just can't figure out how to put this together with the information that I am given.
 
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