Why is Energy Lost in Inelastic Collisions but Momentum is Conserved

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ABOUT ME I have a B.S. in Physics Education and have spent the last 18 years teaching high school physics and engineering. The last 13 at Cheyenne Mountain High School in Colorado Springs, Colorado. I have taught... AP Physics 1 AP Physics 2 AP Physics C Mechanics AP Physics C E&M PLTW Intro to Engineering Design PLTW Principles of Engineering PLTW Aerospace Engineering VIDEO-TECH STUFF I film all my videos on my iPhone SE and I edit in Magix. I can't say I recommend either as I have absolutely no experience with other platforms. Most images I use are generated in Microsoft Paint, mostly because I'm old and that's what I learned to use back in the 90's.