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An Open-Book 3-hour Test of Lab 7, Inelastic Collisions of Phys40A or Phys 2A LAB

You can only talk to your PARTNER(S) or the Teaching Assistant. If you have the leisure to show off your superior intellect, then I must follow the supervisor's instructions strictly: ask you all to do every thing required by the LAB MANUAL.

The NAME of EXAMINEE:

The NAME of EXAMINEE's partner:

The EXAMINEE's workstation:

I. Perfectly Inelastic Collisions

The positive velocities are measured to the right.

Answer the Additional Question I, (2 point)

Starting from the two equations on Page 43 of Phys40A, or Pages 45 and 46 of Phys2LA, derive an expression of DK only in terms of m1, m2, V1i, V2i. Then simplify your expression to prove that DK ³ 0 for any initial velocities. Your mathematical work stands one point. (0.5 points for your final answer) How can we make DK = 0? (0.5 points) Is it possible to perform the specific situation today? Why?

Hint:

  • m1V1i+m2V2i = (m1+m2)Vf, (a + b)2 = a2 + 2ab + b2, and (a - b)2 = a2 - 2ab + b2
  • Also, remember that the velocity here is still a one-dimensional vector, which has two elements: magnitude and direction.

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