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Analyzing Collisions

Analyzing Collisions. elastic & Inelastic. Collisions. During a collision, there is a transfer of momentum & energy. To calculate momentum = p ai + p bi = p af + p bf (remember p = m Δ v) To calculate energy = KE ai + KE bi = KE af + KE bf (remember KE = ½ mv 2 ). Collisions.

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Analyzing Collisions

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  1. Analyzing Collisions elastic & Inelastic

  2. Collisions • During a collision, there is a transfer of momentum & energy. • To calculate momentum = pai + pbi = paf + pbf (remember p = mΔv) • To calculate energy = KEai + KEbi = KEaf + KEbf (remember KE = ½ mv2)

  3. Collisions • 2 types of collisions #1 = Elastic – “hit & rebound” - momentum is conserved For Perfectly Elastic - KE remains the same

  4. Collisions: hit and rebound ma vainitial mb vbinitial P before = ma(+va) + mb(-vb) ma vafinal mb vbfinal P after = ma(-va) + mb(+vb)

  5. Collisions: hit and rebound Elastic Collision Equation ma(+va) + mb(-vb) = ma(-va) + mb(+vb) *Positive velocity to the right *Negative velocity to the left

  6. Collisions • 2 types of collisions #2 = Inelastic – “hit & stick” - momentum is conserved For Perfectly Inelastic - KE is decreased

  7. Collision: hit and stick ma vainitial mb vbinitial P before = ma(+va) + mb(-vb) ma vafinal mb vbfinal vab P after = (ma+ mb)(va&b combined)

  8. Collision: hit and stick Inelastic Collision Equation ma(+va) + mb(-vb) = (ma+ mb)(va&b combined) *Positive velocity to the right *Negative velocity to the left

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