Calculate Ki, the initial kinetic energy of the system of two balls just before the collision, and Kf, the total kinetic energy of the two balls just after the collision. Give your results in joules.

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Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Elastic Collisions

Here is the values I have already solved for:

  • mass of each ball= 8.4g
  • vertical distance from the bottom of the ramp to the floor= 0.79 m
  • distance O0 and the center of the circle I0= 0.49 m
  • time t that the ball is in the air, from when it leaves the track until it strikes the floor= 0.402 s
  • v1i of the incoming ball just before the collision= 1.22 m/s
  • distance between O0 and I, the center of the circle where the incoming ball landed after the collision= 0.313 m
  • v1f, the speed of ball 1 just after the collision= 0.779 m/s
  • distance between the point OT and T, the center of the circle where the target ball landed after the collision= 0.36 m
  • v2f, the speed of ball 2 just after the collision= 0.896 m/s
  • Use coordinates where the x-axis is along the line that connects O0 and I0. With a protractor, measure the angle ?1 between this x-axis and the line that connects O0 and I= 43 degrees
  • Measure the angle ?2 between the x-axis and the line that connects OT and T= 36.5 degrees

a) Calculate Ki, the initial kinetic energy of the system of two balls just before the collision, and Kf, the total kinetic energy of the two balls just after the collision. Give your results in joules.

b) Calculate pix, the x-component of the momentum of the two balls just before the collision, and pfx, the x-component of the momentum of the two balls just after the collision.

c) Calculate |pf1y| and |pf2y|, the y-components of momentum of each ball after the collision.

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