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Bouncing Balls

Gabriel avatar
Gabriel
15 diapositives · 625 Views · May 24, 2013

Bouncing Balls. Question:. If you place a tennis ball on a basketball and drop this stack on the ground, how high will the tennis ball bounce? To approximately its original height. Much higher than its original height. Much less than its original height. Observations About Bouncing Balls.

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Bouncing Balls
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  1. Bouncing Balls

  2. Question: • If you place a tennis ball on a basketball and drop this stack on the ground, how high will the tennis ball bounce? • To approximately its original height. • Much higher than its original height. • Much less than its original height.

  3. ObservationsAbout Bouncing Balls • Some balls bounce better than others • Underinflated balls bounce poorly • Balls don’t bounce higher than they started • Ball can bounce from moving objects

  4. Bouncing fromRigid, Motionless Surfaces • Approaching ball has KE – “collision” KE. • During impact, ball has elastic PE. • Rebounding ball has KE – “rebound” KE. • Some collision energy becomes thermal. • “Lively” balls lose little energy. • “Dead” balls lose much energy. • In general: rebound KE < collision KE

  5. Coefficient of Restitution • Measure of a ball’s liveliness. • Ratio of outgoing to incoming speeds. Coefficient of restitution = Outgoing speed / Incoming speed

  6. Bouncing fromElastic, Motionless Surfaces • Both ball and surface dent during bounce. • Work is proportional to dent distance. • Denting surface stores & returns energy. • “Lively” surface loses little energy. • “Dead” surface loses much energy. • Surface has a coefficient of restitution, too.

  7. Bouncing fromMoving Surfaces • Incoming speed ® Approaching speed. • Outgoing speed ® Separating speed. • Coefficient of Restitution becomes: Coefficient of restitution = Separating speed / Approaching speed

  8. Ball and BatPart 1 • Ball approaches home plate at 100 km/h. • Bat approaches pitcher at 100 km/h. • Approaching speed is 200 km/h.

  9. Ball and BatPart 2 • Approaching speed is 200 km/h. • Baseball’s Coefficient of Restitution: 0.55. • Separating speed is 110 km/h.

  10. Ball and BatPart 3 • Separating speed is 110 km/h. • Bat approaches pitcher at 100 km/h. • Ball approaches pitcher at 210 km/h.

  11. Question: • If you place a tennis ball on a basketball and drop this stack on the ground, how high will the tennis ball bounce? • To approximately its original height. • Much higher than its original height. • Much less than its original height.

  12. Bouncing’sEffects on Objects • Bouncing involves momentum transfer • Momentum transferred while stopping • Momentum transferred while rebounding • A better bounce transfers more momentum • Bouncing can involve energy transfer • Together, these transfers govern bouncing • Identical elastic balls transfer motion perfectly

  13. Impact Forces • Harder surfaces bounce faster • Momentum is transferred faster • Time is shorter, so force is larger • No one likes bouncing off hard surfaces

  14. Ball’s Effectson a Bat • Ball pushes bat back and twists it, too • When ball hits bat’s center of percussion, • backward and rotational motions balance. • handle doesn’t jerk. • When ball hits vibrational node • bat doesn’t vibrate. • more energy goes into ball.

  15. SummaryAbout Bouncing Balls • Each ball has a coefficient of restitution • Energy lost in a bounce becomes thermal • The surface can affect a ball’s bounce • Surfaces bounce, too.