Answer Happy

7. (12 points) Momentum Three cases are presented below, all start with a particle of mass m and momentum po moving to the right on a level, frictionless surface. In each of the cases, the particle breaks into two pieces of equal mass and proceeds to travel in different directions. case 1 case 2 case 3 P m 65° m 75° 60° 30° P (a) In case 1, the two pieces after the explosion each have a momentum of magnitude pi and move off in different directions. The angle between these two vectors is 65°. Which of the rankings (A-E) listed below is true? Explain how do you know? B: P₁ = Po/2 C: Po/2<P₁ < Po D: P₁ = Po E: P₁ > Po A: P₁ < Po/2 (b) In case 2, the two pieces after the explosion each have a momentum of magnitude pi and move off in different directions. The difference is that the angle between the two vectors is now 75°. Is p2 (in case 2) greater than, less than, or equal to pi (in case 1)? Explain how you know. (c) In case 3, the two fragments have momentums of p3 and p₁, in the directions shown. Rank po, p3, and på in order of increasing magnitude.