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ELASTIC AND INELASTIC COLLISIONS. SPH 4U. Law of Conservation of Momentum. According to the Law of Conservation of Momentum, in any collision, momentum is conserved However, this is not necessarily the case for energy – it may or may not be conserved. Elastic Collision.
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Law of Conservation of Momentum • According to the Law of Conservation of Momentum, in any collision, momentum is conserved • However, this is not necessarily the case for energy – it may or may not be conserved
Elastic Collision • An elastic collision is one in which the kinetic energy of the system is conserved
Inelastic Collision • An inelastic collision is one in which the total kinetic energy of the system is not conserved • The loss in kinetic energy can be accounted for as energy from friction, energy from sound, elastic potential energy and gravitational energy.
Inelastic Collision • There are two types of inelastic collisions: • Imperfectly Inelastic • Perfectly Inelastic: When the two objects are joined together, ex. m’ = m1 + m2
Example 1: A 1000 kg car moving 30 m/s [E] strikes a 2000 kg SUV moving 20 m/s [W]. If after the collision the car is moving 15 m/s [W], a) what is the final velocity of the SUV? b) Is the collision elastic? Give proof.
If two objects are involved in an elastic collision and one object is originally at rest, then a shortcut can be used to determine the final velocities. • NOTE: these equations only hold if the collision is elastic and v2=0
Example 2: A 3.0 kg cart and a 5.0 kg cart are involved in an elastic collision. If the 3.0 kg cart was originally moving at 6.0 m/s [E] and the 5.0 kg cart was at rest, determine the final velocities of both carts.