1d- analysis - 1-D Conservation of Momentum Its possible to...

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1-D Conservation of Momentum It’s possible to measure the momentum of any number of objects before and after they collide. For now we will only look at how to figure out problems with two objects in a head-on collision, called either 1 dimensional or linear collisions. It was noticed in Newton’s time that the total momentum of all objects before a collision equals the total momentum of all objects after. To this day the Conservation of Momentum remains a fundamental law of physics. Note: We will be using the symbol “prime” (a little tick like this ' ) to represent “after the collision.” Before the Collision After the Collision momentum of object “a” = p a momentum of object “a” = p a ' momentum of object “b” = p b momentum of object “b” = p b ' So, a formula for two objects that collide would look like… p total = p total ' p a + p b = p a ' + p b ' m a v a + m b v b = m a v a ' + m b v b ' You do have to be careful with how you solve these collision problems
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