Question

Conservation of Momentum in Two Dimensions Ranking Task The figures below show bird's-eye views of six automobile crashes an instant before they occur. The automobiles have different masses and incoming velocities as shown. After impact, the automobiles remain joined together and skid to rest in the direction shown by v_final. Rank these crashes according to the angle theta, measured counterclockwise as shown, at which the wreckage initially skids. Rank from largest to smallest. To rank items as equivalent, overlap them.

Answer 1

For figure 1, the angle is calculated as, mometum in y-direction momentum in x-direction 1000x10 1000x10 tan-ı tan 45° For figure 2, the angle is given as. e,tan For figure 3, the angle is given as, a = tan For figure 4, the angle is given as. mometum in y-direction momentum in x-direction -1 ( 1000 × 7 1000 × 10 35° mometum in y-direction momentum in X-direction 11000x10 1000x7 tan 55° mometum in y-direction _on- momentum in x-direction 11000x7 1000x7 45° For figure 5, the angle is given as, e -tan For figure 6, the angle is given as. 0, = tan-1 From the above obtained values, the order from largest to smallest is, 700x15 1200×9 -1mometum n y-direction 44.20 momentum in x-direction mometum in y-direction momentum in x-direction 11500x10 1000x15 45°