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Collisions 2 types of collisions #1 = Elastic – “hit & rebound” - momentum is conservedFor Perfectly Elastic - KE remains the same
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ELASTIC & INELASTIC
Analyzing Collisions
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
mava initial
mbvb initial
P before = ma(+va) + mb(-vb)
mbvb final
P after = ma(-va) + mb(+vb)
mava 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
mava initial
mbvb initial
P before = ma(+va) + mb(-vb)
mbvb final
P after = (ma + mb)(va&b
combined)
mava final
vab
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