Momentum and Collisions

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Momentum and Collisions

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Linear Momentum ► Linear Momentum is a object with m and v. ► Symbol for momentum is p. ► Momentum is a vector. With direction that of velocity. ► Dimensions of p are m and v. ► SI units of p are what? ► What are some examples of p?

More Linear Mom ► What has more p an object with a large m or one with a smaller mass? ► What has more p an small object with a large v or a large object with a small v? ► What are some recent examples of an object with a large v and small m? ► Equation for p = mv.

Change in Momentum ► A change in p requires a F during a change in t. ► Ft = p Ft = mvf – mvi. Impulse p theorem ► Equations states that a small force over a long t period produces the same change in p as a large force acting during a short time. ► Follow through Greater change in p if object in contact for a longer period of t. ► m/momentum/mom1.pdf m/momentum/mom1.pdf m/momentum/mom1.pdf

Stopping times and distance ► Depend on I=p theorem.

Conservation of Momentum ► Momentum is conserved. ► momentum/index.cfm physics classroom momentum/index.cfm momentum/index.cfm ► +airbag+collisions&view=detail&mid= DA14613B DA14613B &first=0&FORM=LKVR16 Car seat +airbag+collisions&view=detail&mid= DA14613B DA14613B &first=0&FORM=LKVR16 +airbag+collisions&view=detail&mid= DA14613B DA14613B &first=0&FORM=LKVR16

Conservation of Momentum Continued ► Mom + Mom = Mom + Mom ► MV1 + MV2 = MV1 + MV2 ► Before Col = After Col ► Two types of Collisions. Inelastic and Elastic. ► Regardless Momentum is conserved.

Collisions Conservation of Momentum ► Forces in real world situations are not constant. Always changing. ► Total p remains constant in any type of collision. ► Total KE is not always conserved because some is lost due to deformation of the object, heat, sound.

Perfectly inelastic collisions ► When two objects collide and move as one ► m1v1 + m2v2 = m1v1 + m2v2 ► m1v1 + m2v2 = (m1 + m2)v

KE not constant in inelastic collisions ► Total KE not constant when objects collide and stick together. ► The reason is that in inelastic collisions objects do not keep there shape. They deform.

Elastic Collisions ► Two objects collide and maintain or return to their original shape. ► They do not stick together. ► Most collisions are not truly elastic or perfectly inelastic. Because energy is lost. ► KE is conserved in elastic collisions.

Equation for elastic ► m1v1 + m2v2 = m1v1 + m2v2 ► KE equation ► ½ m1v1^2 + 1/2m2v2^2 = 1/2m1v1^2 + 1/2m2v2^2 ► Table 6-2

Collision lab ► Phet Lab Colorado: Collisions in one dimension. ► ► lab/collision-lab_en.html lab/collision-lab_en.html ► ► Lab one ► ► Lab two