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Unit 7.2 Conservation of Momentum

Unit 7.2 Conservation of Momentum. Teacher: Dr. Van Der Sluys. Objectives. Collisions Law of Conservation of Momentum Simple Collision Problems Elastic Inelastic. Momentum. For an individual object p = mV For a system involving multiple objects p =  m n v n

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Unit 7.2 Conservation of Momentum

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  1. Unit 7.2 Conservation of Momentum Teacher: Dr. Van Der Sluys

  2. Objectives • Collisions • Law of Conservation of Momentum • Simple Collision Problems • Elastic • Inelastic

  3. Momentum For an individual object p = mV For a system involving multiple objects • p =  mnvn Where mnvn are the momentums of each of the individual objects in the system.

  4. Collisions • Elastic collisions between objects result in rebounds, so that the total kinetic energy of the system remains the same. • Inelastic collisions result when the objects in the system stick together and there is a conversion of some kinetic energy into other forms of energy.

  5. Law of Conservation of Momentum • For any two body system the total momentum before and after a collision must be equal. m1v1 + m2v2 = m1v1’ + m2v2’ • The law of Conservation of momentum states that the total momentum of an isolated system is always constant.

  6. Conservation of Momentum - Rifle recoil What is the recoil velocity of a 6.0 kg shot gun that shoots a 0.150 kg deer slug at a speed of 120 m/s? Hint: Draw a vector diagram representing both the velocity and momentum of both the bullet and the gun before and after the bullet is fired.

  7. Conservation of Momentum - Simple Inelastic Example An empty 10,000 kg railroad car traveling at a speed of 24.0 m/s strikes an identical railroad car that is stationary. If the couplings cause the cars to lock together as a result of the collision, what is their velocity after the collision?

  8. Conservation of Momentum - Simple Inelastic Example An empty 10,000 kg railroad car traveling at a speed of 24.0 m/s strikes loaded railroad car having a mass of 20,000 kg that is stationary. If the couplings cause the cars to lock together as a result of the collision, what is their velocity after the collision?

  9. Conservation of Momentum - Simple Inelastic Example An empty 10,000 kg railroad car traveling at a speed of 24.0 m/s strikes loaded railroad car having a mass of 20,000 kg that is moving with a velocity of -12.0 m/s. If the couplings cause the cars to lock together as a result of the collision, what is their velocity after the collision?

  10. Simple Systems Involving Elastic Collisions • http://www.hazelwood.k12.mo.us/~grichert/explore/dswmedia/airtrack.htm • Try some of the following and predict what will happen after the elastic collision. • m1 = m2, v1 = 5.0 m/s and v2 = 0 m/s (Can you predict? How do you know?) • m1 = 1.0 kg and m2 = 2.0 kg, v1 = 5.0 m/s and v2 = 0 m/s • m1 = m2, v1 = 5.0 m/s and v2 = -5.0 m/s • Try others of your choice (Can you predict? If not, why not?)

  11. A Really Complicated System Involving Elastic Collisions in Two Dimensions http://en.wikipedia.org/wiki/Elastic_collision

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