1 / 27

Chapter 8: Momentum Conservation

Chapter 8: Momentum Conservation. Impulse. Work. Distance, l. K = (1/2) m v 2 Work-Energy Theorem Energy Conservation. p = m v Impulse-Momentum Theorem Momentum Conservation. 1D Collision. M. m. M. m. Elastic Collision. Energy Conservation. Loss of energy as thermal and

rane
Télécharger la présentation

Chapter 8: Momentum Conservation

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 8: Momentum Conservation Impulse Work Distance, l K = (1/2) m v2 Work-Energy Theorem Energy Conservation p = mv Impulse-Momentum Theorem Momentum Conservation Momentum Conservation

  2. Momentum Conservation

  3. 1D Collision M m M m Momentum Conservation

  4. Elastic Collision Momentum Conservation

  5. Energy Conservation Loss of energy as thermal and other forms of energy Momentum Conservation

  6. Example 2 After collision Before collision (totally inelastic collision) m v1 + m v2 = m v1’ + m v2’ v1’ =v2’ Momentum Conservation

  7. Momentum Conservation

  8. Impulsive Force [Example] an impulsive force on a baseball that is struck with a bat has: <F> ~ 5000 N & Dt ~ 0.01 s Very large magnitude Impulsive Force Very short time [Note] The “impulse’’ concept is most useful for impulsive forces. Momentum Conservation

  9. Impulse-Momentum Theorem 1D |J | 2D Momentum Conservation

  10. Momentum Conservation

  11. Momentum Conservation y x Momentum Conservation

  12. Example 3 Express vand v’ in terms of m, M, g, and h. • (A) mv = (m+M) v’ • (B) K1+Ug1 = K2+Ug2 (A) Momentum Conservation 2 1 (B) Energy Conservation Momentum Conservation

  13. Momentum Conservation

  14. Momentum Conservation

  15. Momentum Conservation

  16. Momentum Conservation

  17. Momentum Conservation

  18. Momentum Conservation

  19. Momentum Conservation

  20. Example 1 • What is the impulse given the • wall ? Note: m = 0.060 kg. • Dpx, and Dpyfor the ball • J(on the wall) = - J(on the ball) py,f vf = 28 m/s px,f (1) Coordinates (2) J(on the ball) Dpx = px,f - px,i = - 2 xpx,i Dpy = py,f - py,i = 0 where: px,i = m vi sin q = 1.2 N*s py,i px,i y vi = 28 m/s x Momentum Conservation

  21. 1D/2D “Explosion’’ 1  2 (or more) Momentum Conservation

  22. Center of mass Center of Mass (c.m. or CM) The overall motion of a mechanical system can be described in terms of a special point called “center of mass” of the system: Momentum Conservation

  23. Momentum Conservation

  24. Momentum Conservation

  25. CM Position (2D) m3 ycm = 0.50 m X m1 + m2 X m1 m2 + m3 xcm = 1.33 m Momentum Conservation

  26. CM Position and Velocity 48.0 m t = -2 s x t = 0 s m v1 + m v2=(m + m) v’ (totally inelastic collision) Momentum Conservation

  27. 2D Collision Momentum Conservation

More Related