Thanks much to Patrick M. Len for making these GIFs
(a) without being deformed
(b) no kinetic energy (energy of motion) is lost
Example 1: Gas molecules bouncing off of each other
Example 2 Pool (pocket billiards )
Example 3 car bouncing off of a truck
Example 4: Two cars colliding, without any (apparent) deformation or heating
(a) and parts are deformed
(b) much kinetic energy (energy of motion) is lost, and turned into heat
Example 5: car hitting a truck, and they stick together
Example 6: car hitting a truck, and they stick together
Partially elastic collisions
(a) and are slightly deformed
(b) some kinetic energy (energy of motion) is lost, and turned into heat
Example 7: Cars bounce after a collision
How can we tell if a collision is elastic or not?
How can we tell if a collision is elastic or not? Taking into account kinetic energy (the energy of motion)
KE tr = KE translational
= kinetic energy as stuff “translates”, or moves
2016 Massachusetts Science and Technology/Engineering Curriculum Framework
HS-PS2-2. Use mathematical representations to show that the total momentum of a system of interacting objects is conserved when there is no net force on the system. Emphasis is on the qualitative meaning of the conservation of momentum and the quantitative understanding of the conservation of linear momentum in
interactions involving elastic and inelastic collisions between two objects in one
HS-PS2-3. Apply scientific principles of motion and momentum to design, evaluate, and refine a device that minimizes the force on a macroscopic object during a collision. Clarification Statement: Both qualitative evaluations and algebraic manipulations may be used.
CCSS.MATH.CONTENT.7.EE.B.4 Use variables to represent quantities in a real-world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.
CCSS.MATH.CONTENT.8.EE.C.7 Solve linear equations in one variable
CCSS.MATH.CONTENT.HSA.SSE.B.3 Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression. (including isolating a variable)
CCSS.MATH.CONTENT.HSA.CED.A.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. For example, rearrange Ohm’s law V = IR to highlight resistance R.