Law of Conservation of Momentum Active Physics Name: ______________________________Grade:___ Class Period: ___ Date:____________ Essential Question: What is the relationship between the mass and the velocity of an object, in reference to momentum? PSc.1.1.2 Instructions: Study pp. 63-66 and answer the following questions. Momentum is equal to mass times velocity. It is symbolized with a small p. Mass is symbolized with a small m, velocity with a small v. Momentum(p) equals mass(m) times velocity (v) or p = mv. 1. What is “Conservation of Momentum”? ( p.63) _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ 2. If the momentum before collision is 500 kg/m/s, then the momentum after the collision is ___________ kg m/s. How does this explain the Law of Conservation of Momentum? _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ 3. How can a game of billiard be an example of the Law of Conservation of Momentum? ( p. 64) Think!___________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ 4. What does the negative sign show or indicate in the Law of Conservation of Momentum? ( p.64) _________________________________________________________________________________ _________________________________________________________________________________ _________________________________________________________________________________ 5. What is the equation/formula for Newton’s Second Law? 6. What is the equation/formula for acceleration ( a )? 7. What does the symbol mean in the equation on page 64? _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 8. Why is solving conservation of momentum problems easy? ( p. 64-65) Think! _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ 9. Imagination: Identify and illustrate or draw the different types of collisions. ( p. 65) Example: Collision Type 1: One moving object hits a stationary object and both stick together and move off at the same speed. before collision After collision Collision Type 2: Collision Type 3: Collision Type 4: Collision Type 5: 10. Sample Problem I ( p. 65): Answer the following questions about the problem. A 75.00 kg ice skater is moving to the east at 3.00m/s toward his 50.00 kg partner, who is moving toward him( west) at 1.80 m/s. If he catches her up and they move away together, what is their final velocity? a. What is the mass and velocity of the skater moving to the east? ( boy) Mass ( m)=_______________ Velocity ( v)=______________ b. What is the mass and velocity of the skater moving to the west? ( girl) Mass ( m)=_______________ Velocity ( v)=______________ c. Which direction will you designate as positive( +), east or west? Can you interchange them? _________________________________________________________________________ _________________________________________________________________________ d. Why is velocity a vector quantity? Review and Think! _________________________________________________________________________ __________________________________________________________________________ e. What are the given in the problem? ( p. 65) Mb ( mass of boy) = _______________________________ Mg ( mass of girl) = _______________________________ vb ( velocity of boy) =_______________________________ vg (velocity of girl) = _______________________________ 11. Copy and study: Show the solution for the problem. ( p. 66) 12. What is their final velocity? How is momentum conserved? _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ _____________________________________________________________________________________ Answer: The total momentum of the boy and girl skater is 135 kg m/s 225 kg m/s- 90.0 kg m/s) and their final momentum is also 135 kg m/s ( 125 kg X 1.08 m/s) Here is an example calculation. Notice that the unit for momentum is kg-m/s. Line 1: Definition of momentum. Line 2: Enter example values for mass and velocity. Line 3: Calculate the resultant momentum. Thus, an object with a mass of 3.0 kg that is traveling at a velocity of 4.0 m/s has a momentum of 12 kg-m/s. http://zonalandeducation.com/mstm/physics/mechanics/momentum/introductoryProblems/m omentumSummary1.html
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