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Conservation of Momentum

Conservation of Momentum. Quick Review. We have already learned and established that an object with a mass m moving with a velocity v has momentum. p = mv We only looked at a single object. A Moving object has Energy and Momentum. We know an object that is moving has momentum

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Conservation of Momentum

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  1. Conservation of Momentum

  2. Quick Review • We have already learned and established that an object with a mass m moving with a velocityvhas momentum. p = mv • We only looked at a single object

  3. A Moving object has Energy and Momentum • We know an object that is moving has momentum • An object that is moving also has energy (Kinetic Energy) • When a moving object collides with another object it transfers that energy and momentum

  4. The Law of Conservation of Momentum states: IN English Mathematically The initial momentum of object A + the initial momentum of object B is = the final momentum of object A + the final momentum of object B Mathematically defined as: pAi+ pBi = pAf + pBf When two objects collide, the total momentum before the collision is equal to the total momentum after the collision. There is no change in the total momentum after the collision. MOMENTUM IS CONSERVED

  5. Initial Momentum (Before Collision) Object A Object B mB= mass of B vBi= initial velocity of B (+) to the right (‒) to the left pBi = mBvBi mA= mass of A vAi= initial velocity of A (+) to the right (‒) to the left pAi = mAvAi

  6. During Collision Transfer of momentum from one object to the other What happens after the collision depends on how heavy & how fast each object was initially traveling. Think running back & Linebacker

  7. Final Momentum (After Collision) Object A Object B mB= mass of B vBf= final velocity of B (+) to the right (‒) to the left pBf =mBvBf mA= mass of A vAf= final velocity of A (+) to the right (‒) to the left pAf =mAvAf

  8. Total Initial Momentumis equal toTotal Final Mometum pAi+ pBi = pAf + pBf mAvAi+mBvBi= mAvAf + mBvBf

  9. Problem Example A 6.0 kg bowling ball (Ball A) rolling at 5.0 m/s strikes a another stationary 4.0-kg bowling ball (Ball B). If Ball Ais moving forward at 2.0 m/s after the collision, what is the final velocity of Ball B?

  10. Problem Example 2 Running at 2.0 m/s to the right a 45 kg quarterback, collides with a90 kg tackle who’s running at 7.0 m/s to the left. After the collision the tackle continues moving to the left at 1.0 m/s. What is the final velocity of the quarterback after the collision.

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