Question

my p1i = 6408.41640768
      p2i = 4439.33266
Here is your task. Make a diagram of the initial momentum vectors adding to the total momentum vector, �" = �W," + �:,". (This will look like the right side of your Vector Plotting diagram you did in lab.) Use the Law of Sines and the Law of Cosines to add them to find the magnitude and angle of �". Do this without switching to Cartesian vectors or making any right triangles. (You should consider hand writing this question.) ( read the last part of the picture 2)

3) When we added vectors in this experiment, they were always in Cartesian form. However, there are methods for adding unaltered polar vectors that requires some nice trigonometry you might like to have in your bag of tricks The Law of Sines states that for any triangle, the following is true: 2 s¡ηα sinß siny The Law of Cosines states that for any triangle, the following is true: a2-b2 + c2-2bc * cos Physics 181- Spring 2016-Two-Dimensional Momentum 17 The power of these relationships is that they are true for any triangle, not just right triangles, and a quick examination reveals that our normal right triangle relationship are actually just special cases of these broader formulas. 900, making side c a hypotenuse, then sina sin (900) sina (1) For example, if γ 17 Physics 181-Spring 2016-Two-Dimensional Momentum The power of these relationships is that they are true for any triangle, not just right triangles, and a quick examination reveals that our normal right triangle relationship are actually just special cases of these broader formulas. For example, ify 90, making side c a hypotenuse, then sina sin (900) sina (1) The Law of Sines boils down to the expected right triangle relationship. Furthermore c2 - a2 + b -2ab cos (90) c2 = a2 + b2 The Pythagorean Theorem is just a special case of the Law of Cosines. Here is your task. Make a diagram of the initial momentum vectors adding to the total momentum vector, pi u + Pz. (This will look like the right side of your Vector Plotting diagram you did in lab.) Use the Law of Sines and the Law of Cosines to add them to find the magnitude and angle of P,. Do this without-switching to Cartesian ithout-switching to Cartesian vectors or making any right triangles. (You should consider hand writing this question.) (Hint: Remembering how angles formed by transversals cutting parallel lines are related might be useful.)

Answer 1

ナ八.an8 le Pi 2. Sind sin(e sinb 2 2 2,02 2 2. p6(3.333 7P. Sin sin9o 3 .221 s9o po. 560