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Published byΙλαρίων Θεοτόκης Modified over 5 years ago
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COLLISIONS ELASTIC COLLISIONS INELASTIC COLLISIONS
Momentum transfer from one Object to another . Is a Newton’s cradle like the one pictured here, an example of an elastic or inelastic collision?
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Problem Solving #1 A 6 kg fish swimming at 1 m/sec swallows a 2 kg fish that is at rest. Find the velocity of the fish immediately after “lunch”. net momentum before = net momentum after (net mv)before = (net mv)after (6 kg)(1 m/sec) + (2 kg)(0 m/sec) = (6 kg + 2 kg)(vafter) 6 kg.m/sec = (8 kg)(vafter) 8 kg vafter = ¾ m/sec
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Problem Solving #2 Now the 6 kg fish swimming at -1 m/sec swallows a 2 kg fish that is swimming towards it at +2 m/sec. Find the velocity of the fish immediately after “lunch”. net momentum before = net momentum after (net mv)before = (net mv)after (6 kg)(-1 m/sec) + (2 kg)(+2 m/sec) = (6 kg + 2 kg)(vafter) -6 kg.m/sec + 4 kg.m/sec = (8 kg)(vafter) vafter = -2 kg.m/sec 8 kg vafter = -¼ m/sec
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Problem Solving #3 & #4 Now the 6 kg fish swimming at 1 m/sec swallows a 2 kg fish that is swimming towards it at 3 m/sec. (net mv)before = (net mv)after (6 kg)(1 m/sec) + (2 kg)(-3 m/sec) = (6 kg + 2 kg)(vafter) 6 kg.m/sec + -6 kg.m/sec = (8 kg)(vafter) vafter = 0 m/sec Now the 6 kg fish swimming at 1 m/sec swallows a 2 kg fish that is swimming towards it at 4 m/sec. (6 kg)(-1 m/sec) + (2 kg)(4 m/sec) = (6 kg + 2 kg)(vafter) - 6 kg.m/sec + 8 kg.m/sec = (8 kg)(vafter) vafter = 1/4 m/sec
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MOMENTUM VECTORS Momentum can be analyzed by using vectors
The momentum of a car accident is equal to the vector sum of the momentum of each car A & B before the collision. A B
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MOMENTUM VECTORS When a firecracker bursts, the vector sum of the momenta of its fragments add up to the momentum of the firecracker just before it exploded. The same goes for subatomic elementary particles. The tracks they leave help to determine their relative mass and type.
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