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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. - PowerPoint PPT Presentation
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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)
Collisions
2 types of collisions#1 = Elastic – “hit & rebound”
- momentum is conserved For Perfectly Elastic- KE remains the same
ma
va initial
mb
vb initial
P before = ma(+va) + mb(-vb)
mb
vb final
P after = ma(-va) + mb(+vb)
ma
va final
Elastic Collision Equation
ma(+va) + mb(-vb) = ma(-va) + mb(+vb)
*Positive velocity to the right*Negative velocity to the left
Collisions
2 types of collisions#2 = Inelastic – “hit & stick”
- momentum is conserved For Perfectly Inelastic- KE is decreased
Collision: hit and stick
ma
va initial
mb
vb initial
P before = ma(+va) + mb(-vb)
mb
vb final
P after = (ma + mb)(va&b
combined)
ma
va final
vab