Bouncing Balls 1 Bouncing Balls Bouncing Balls 2 Introductory Question If you place a tennis ball on a basketball and drop this stack on the ground, how high will the tennis ball bounce? A. To approximately its original height Much higher than its original height Much less than its original height B. C. Bouncing Balls 3 Observations about Bouncing Balls Some balls bounce better than others Dropped balls don’t rebound to their full height Balls bounce differently from different surfaces Ball bounce differently from moving objects Bouncing Balls 4 4 Questions about Bouncing Balls Why can’t a ball that’s dropped on a hard floor rebound to its starting height? Why does the floor’s surface affect the bounce? How does a ball bounce when it hits a bat? What happens to the bat when a ball hits it? Bouncing Balls 5 Question 1 Why can’t a ball that’s dropped on a hard floor rebound to its starting height? What happens to ball’s energy as it bounces? Bouncing Balls 6 Bouncing from a Rigid Floor As it strikes a rigid floor, a ball’s kinetic energy decreases by the “collision” energy elastic potential energy increases as it dents As it rebounds from that surface, the ball’s elastic potential energy decreases as it undents kinetic energy increases by the “rebound” energy Rebound energy < collision energy A “lively” ball wastes little energy as thermal energy A “dead” ball wastes most of its energy Bouncing Balls 7 Bouncing Balls 8 Measuring a Ball’s Liveliness Coefficient of Restitution is a measure of a ball’s liveliness is the ratio of outgoing to incoming speeds: coefficient of restitution = outgoing speed / incoming speed Bouncing Balls 9 Question 2 Why does the floor’s surface affect the bounce? Bouncing Balls 10 Bouncing from an Elastic Floor Both ball and floor dent during a bounce Work is proportional to dent distance Denting floor stores and returns energy A “lively” floor wastes little energy A “dead” floor wastes most of its energy A floor has a coefficient of restitution, too A soft, lively floor can help the ball bounce! Bouncing Balls 11 Question 3 How does a ball bounce when it hits a bat? Do both the ball and bat bounce? Bouncing Balls 12 Bouncing from Moving Surfaces Incoming speed → approaching speed Outgoing speed → separating speed Coefficient of Restitution becomes: coefficient of restitution = separating speed / approaching speed Bouncing Balls 13 Ball and Bat (Part 1) Ball heads toward home plate at 100 km/h Bat heads toward pitcher at 100 km/h Approaching speed is 200 km/h Bouncing Balls 14 Ball and Bat (Part 2) Approaching speed is 200 km/h Baseball’s coefficient of restitution: 0.55 Separating speed is 110 km/h Bouncing Balls 15 Ball and Bat (Part 3) Separating speed is 110 km/h Bat heads toward pitcher at 100 km/h Ball heads toward pitcher at 210 km/h Bouncing Balls 16 Introductory Question (revisited) If you place a tennis ball on a basketball and drop this stack on the ground, how high will the tennis ball bounce? A. To approximately its original height Much higher than its original height Much less than its original height B. C. Bouncing Balls 17 Question 4 What happens to the bat when a ball hits it? Bouncing Balls 18 Bouncing’s Effects on Objects A bouncing ball transfers momentum while stopping while rebounding A livelier ball transfers more momentum A bouncing ball can also transfer energy These two transfers together govern bouncing A ball transfers momentum and energy to a bat Identical elastic balls can transfer motion perfectly Bouncing Balls 19 Impact Forces Harder surfaces bounce faster Momentum is transferred more quickly Time is shorter, so force is larger No one likes bouncing off hard surfaces Bouncing Balls 20 The Ball’s Effects on a Bat The ball pushes the bat back and twists it, too When the ball hits the bat’s center of percussion, the bat’s backward and rotational motions balance the bat’s handle doesn’t jerk When the ball hits the bat’s vibrational node, the bat doesn’t vibrate more energy goes into the ball Bouncing Balls 21 Bouncing Balls 22 Bouncing Balls 23 Summary about 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