The discussion revolves around a problem involving an internal explosion that breaks an object at rest into two pieces with different masses. The total energy released in the explosion is given as 25000 J, and participants are tasked with determining the kinetic energy acquired by each piece.
The discussion is active, with participants sharing their reasoning and calculations. Some have provided guidance on the relationships between kinetic energy and mass, while others are verifying their approaches and calculations. There is a mix of uncertainty and exploration of different interpretations of the problem.
Participants express uncertainty about their initial attempts and calculations, indicating a need for clarification on the relationships between mass, velocity, and kinetic energy. The problem's setup and the implications of the explosion on the pieces' motion are also under scrutiny.
Bones said:Homework Statement
An internal explosion breaks an object, initially at rest, into two pieces, one of which has 1.6 times the mass of the other. If 25000 J is released in the explosion, how much kinetic energy does each piece acquire?
Homework Equations
The Attempt at a Solution
I am not sure where to begin.
Bones said:Would v1 be 1/1.6v2?
Bones said:25000 J = 2.6/1.6 * 1/2 * m2v22
So 25000J*.81=20250J for the lighter piece and 25000J-20250J=4750J for the heavier piece.
Is that correct??
Bones said:I am not sure what I am doing...that was just kinda of a guess.
25000 J = 2.6/1.6 * 1/2 * m2v22
Bones said:So 25000 J=2.6/1.6*1/2mv2v2^2 which is the same thing as 25000 J=2.6/1.6*mv2v2^2/2
Bones said:Yes.
So 1.625*KE2=25000
KE2=15385J the lighter piece
KE1=9615J the heavier piece
?