Most collisions are inelastic, meaning the kinetic energy is not conserved in the system. (a) What are the three most common ways for energy to leave a system during a collision? To the best of my knowledge, the use of the word "perfectly" in a perfectly elastic collision is not necessary. Any elastic collision is a perfectly elastic collision. Both concepts mean the kinetic energy is conserved. The use of the word "perfectly" in perfectly inelastic collisions is just telling you that the two objects end up sticking to each other (have the same final velocity). (b) Combine the equations for the 1-D conservation of linear momentum and the conservation of kinetic energy to create a third equation. Any two of these equations now contain all the information, so the three equations are said to be linearly dependent in math-speak. This means we only need to use any two equations for our solutions, naturally we will chose the simplest two. (c) Use two of these equations along with vxf1 = vxf2 to determine if it is possible for a perfectly elastic collision to also be perfectly inelastic. In other words, can these three equations be simultaneously true?
Most collisions are inelastic, meaning the kinetic energy is not conserved in the system. (a) What are the three most common ways for energy to leave a system during a collision? To the best of my knowledge, the use of the word "perfectly" in a perfectly elastic collision is not necessary. Any elastic collision is a perfectly elastic collision. Both concepts mean the kinetic energy is conserved. The use of the word "perfectly" in perfectly inelastic collisions is just telling you that the two objects end up sticking to each other (have the same final velocity). (b) Combine the equations for the 1-D conservation of linear momentum and the conservation of kinetic energy to create a third equation. Any two of these equations now contain all the information, so the three equations are said to be linearly dependent in math-speak. This means we only need to use any two equations for our solutions, naturally we will chose the simplest two. (c) Use two of these equations along with vxf1 = vxf2 to determine if it is possible for a perfectly elastic collision to also be perfectly inelastic. In other words, can these three equations be simultaneously true?
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