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**1. Homework Statement**

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. Homework 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?