(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

A 9.0 kg artillery shell is moving to the right at 100 m/s when suddenly it explodes into two fragments, one twice as heavy as the other. Measurements reveal that 900 J of energy are released in the explosion and that the heavier fragment was in front of the lighter fragment. Find the velocity of each fragment relative to the ground.

2. Relevant equations

I already have the solution 80 m/s for the heavier and 110 m/s for the lighter but i just want to understand why because i got it wrong on my quiz.

3. The attempt at a solution

i used the elastic collision galilean transforms, but came up with the wrong number.

9kg=x+2x so the heaver is 6kg and the lighter is 3 kg

then i plugged into

mu1'final=(m1-m2)/(m1+m2)*mu1'inital

and

mu2'final=2m/(m1+m2)*mu1'inital

but these were incorrect using 100 m/s as mu1'initial

any help?

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# Galilean Transforms-Relativity

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