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Impulse and Momentum Work, Energy, Power, Momentum

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Slide 2 Impulse and Momentum Work, Energy, Power, Momentum Slide 3 Egg drop 2 Drop an egg in a beaker Drop an egg in a beaker with a sponge in the bottom. What do you observe?. SimilaritiesDifferences________. p47 Slide 4 Impulse 3 Impulse is a force applied over time To stop such an object, it is necessary to apply a force against its motion for a given period of timeforce Impulse = F (t) In terms of impact and impulse, why are airbags in car a great invention? Slide 5 Impulse 4 Which activity would require more impulse 1.) Accelerating a soccer ball from rest to 10m/s OR accelerating a medicine ball from rest to 10 m/s? 2.) Slowing a car from 60mph to 40 mph OR slowing the same car from 40mph to 10mph? 3.) Landing from a jump while flexing the legs (bending at the knees) OR landing from a jump while keeping the legs straight (locking knees)? 4.) What can we conclude about IMPULSE? p47 Slide 6 Bowling ball What happens if 5 I swing a bowling ball at you? Possibility #1 Possibility #2 Possibility #3 Slide 7 Newtons Cradle What happens if 6 I lift and release one ball Possibility#1 Possibility #2 Possibility #3 What if I lift and release more than 1 ball? Slide 8 Newtons Cradle Physics Theres an app for that! 7 The same principle applies to the suspended-ball desk toy, which eerily knows how many balls you let go Only way to simultaneously satisfy energy and momentum conservation Relies on balls to all have same mass Momentum depends on speed/velocity and mass Giant Newtons Cradle video Giant Newtons Cradle Slide 9 Discover for yourself. Record in your notebook and on a whiteboard to share out with the class. 8 Place 5 marbles in the center groove of a ruler. Launch a sixth marble toward the 5 stationary marbles. Note and record what happens. Now launch two marbles at four stationary marbles. Then launch three marbles at three stationary marbles and so on. Note and record what happens each time. Remove all but two marbles from the groove. Roll these two marbles at each other with equal speeds. Note and record what happens. 1.) How did the approximate speed of the marbles before each collision compare to after each collision? 2.) What factors determine how the speed of the marbles changes in a collision? 3.) What do you think would happen if three marbles rolling to the right and two marbles rolling to the left with the same speed were to collide? 4.) What factors affect an objects momentum? Slide 10 What is momentum???momentum 9 Discuss with your partner and come up with an example to share with the class p47 Slide 11 What happens if 10 I drop one super ball? Slow motion ball bounce I drop two balls stacked on each other? Basketball and tennis ball p48 Slide 12 Superball Physics 11 During bounce, if force on/from floor is purely vertical, expect constant horizontal velocity constant velocity in absence of forces like in picture to upper right BUT, superballs often behave contrary to intuition back-and-forth motion boomerang effect Slide 13 Real-World Collisions 12 Is a superball elastic or inelastic? It bounces, so its not completely inelastic It doesnt return to original height after bounce, so some energy must be lost Superball often bounces 80% original height Golf ball 65% Tennis ball 55% Baseball 30% Depends also on surface, which can absorb some of the balls energy down comforter/mattress or thick mud would absorb Slide 14 Momentum Momentum can be defined as "mass in motion." All objects have mass; so if an object is moving, then it has momentum Momentum depends upon the variables mass and velocitymassvelocity Momentum = mass * velocity p = m * v where m = mass and v=velocity Momentum is conserved. Momentum can pass from one object to another (like the super balls) Slide 15 Momentum is a vector quantity To fully describe the momentum of a 5-kg bowling ball moving westward at 2 m/s, you must include information about both the magnitude and the direction of the bowling ball p = m * v p = 5 kg * 2 m/s west p = 10 kg * m / s west Slide 16 Check Your Understanding Determine the momentum of a... 1.) 60-kg halfback moving eastward at 9 m/s. p = mv = 2.) 1000-kg car moving northward at 20 m/s. p = mv = Slide 17 Momentum and Impulse Connection To stop such an object, it is necessary to apply a force against its motion for a given period of timeforce Impulse = Change in momentum Impulse = F (t) = m v Slide 18 Check Your Understanding If the halfback experienced a force of 800 N for 0.9 seconds to the north, determine the impulse Impulse = F ( t ) = m v Slide 19 Impulse Question #2 A 0.10 Kg model rockets engine is designed to deliver an impulse of 6.0 N*s. If the rocket engine burns for 0.75 s, what is the average force does the engine produce? Impulse = F ( t ) = m v Slide 20 Impulse Question # 3 A Bullet traveling at 500 m/s is brought to rest by an impulse of 50 N*s. What is the mass of the bullet? Impulse = F ( t ) = m v Slide 21 To finish 20 CDP 8-1 CU (p307) 1-3 PtoGo (p309) 1-2 p49 Slide 22 CDP 8-1 21 Problem #8 Use the conservation of momentum law to find the speed of Granny and Ambrose together after collision. Total momentum = 240 kgm/s Total mass = 120 kg p = mv 240 = 120v v= 2 m/s p48 Slide 23 When is a collision elastic or inelastic? 22 Phet: Collision Lab http://phet.colorado.edu/en/simulation/collision-lab http://phet.colorado.edu/en/simulation/collision-lab Collisions and conservation of momentum Click on advanced tab for more settings Green arrows = velocity Yellow arrows = momentum Total momentum displayed in the chart Finish both sides and get a stamp before you leave today p49 Slide 24 When is a collision elastic or inelastic? 23 Phet: Collision Lab (finish both sides and get a stamp before you leave today)Collision Lab Click on advanced tab for more settings Green arrows = velocity Yellow arrows = momentum Total momentum displayed in the chart Finish Fridays handout and get it stamped CU (p315) 1-3 PtoGo (p319) 1-2 p49 p47 Slide 25 PtoGo (p319) 24 Problem #2 Two 1 kg carts are each moving towards each other at 2 m/s. They collide and each reverses direction, moving in the opposite direction at 2 m/s. Draw a diagram showing the carts before and after the collision. Before the collisionP = mv P = (1)(2)P = (1)(-2) P = 2 kgm/sP = -2 kgm/s Total p = 2-2 = 0 kgm/s After the collision P = mv P = (1)(-2)P = (1)(2) P = -2 kgm/sP = 2 kgm/s Total p = 2-2 = 0 kgm/s Slide 26 What did we learn about collisions and conservation of momentum and impulse from this week? (at least 5 required) 25 This is our MODEL for MOMENTUM p50 Slide 27 Momentum model- DQ: what can objects do with momentum? 1.) the impulse experienced by an object is the force*time 2.) the momentum change of an object is the mass*velocity change 3.) the impulse equals the momentum change 4.) Momentum is mass x velocity p=mv 5.) Momentum can be transferred to other objects when they collide 6.) Momentum is conserved (none is lost or gained during collisions) Law of Conservation of Momentum Momentum video Slide 28 Momentum model- DQ: what can objects do with momentum? 7.) an inelastic collision is when two objects collide and stick together 8.) an elastic collision is when two objects collide and then bounce apart 9.) an explosion is a type of elastic collision Math review Review (song)(song) Review video p51 Slide 29 Elastic and inelastic Collisions When a Ball hits the ground and sticks, the collision would be totally inelastic When a Ball hits the ground and bounces to the same height, the collision is elastic All other collisions are partially elastic collision Slide 30 Collisions 29 Two types of collisions Elastic: Energy not dissipated out of kinetic energy Bouncy Inelastic: Some energy dissipated to other forms Sticky Perfect elasticity unattainable (perpetual motion) Slide 31 Things that go bump 30 Record what you see Write a possible explanation on your whiteboard Slide 32 Collisions and conservation of momentum 31 Number puzzles CU (p329)1-4 p52 Slide 33 Warm-up Questions 32 1. Twin trouble-makers rig a pair of swings to hang from the same hooks, facing each other. They get friends to pull them back (the same distance from the bottom of the swing) and let them go. When they collide in the center, which way do they swing (as a heap), if any? What if Fred was pulled higher than George before release? 2. A 100 kg ogre clobbers a dainty 50 kg figure skater while trying to learn to ice-skate. If the ogre is moving at 6 m/s before the collision, at what speed will the tangled pile be sliding afterwards? 3. Summarize the steps needed to solve question #2. p53 Slide 34 Elastic Collision: Billiard Balls 33 Whack stationary ball with identical ball moving at velocity v cue 8 To conserve both energy and momentum, cue ball stops dead, and 8-ball takes off with v cue Momentum conservation: mv cue = mv cue, after + mv 8-ball Energy conservation: mv 2 cue = mv 2 cue, after + mv 2 8-ball 8 8 The only way v 0 = v 1 + v 2 and v 2 0 = v 2 1 + v 2 2 is if either v 1 or v 2 is 0. Since cue ball cant move through 8-ball, cue ball gets stopped. Slide 35 Inelastic Collision 34 Energy not conserved (absorbed into other paths) Non-bouncy: hacky sack, velcro ball, ball of clay Momentum before = m 1 v initial Momentum after = (m 1 + m 2 )v final = m 1 v initial (because conserved) Energy before = m 1 v 2 initial Energy after = (m 1 + m 2 )v 2 final + heat energy Slide 36 Collisions and conservation of momentum 35 Number puzzles part 2 Slide 37 Momentum Quiz tomorrow 36 You may use your notebook on all parts of the test Bill Nye Momentum (5 min)Momentum Momentum is ??? Momentum tutorial Conservation of Linear Momentum (4 min)Linear Momentum How is LM conserved? What is an elastic collision? Inelastic? Use simbucket.com to prove it! p54 Slide 38 Angular Momentum 37 Another conserved quantity is angular momentum, relating to rotational inertia: Spinning wheel wants to keep on spinning, stationary wheel wants to keep still (unless acted upon by an external rotational force, or torque) Newtons laws for linear (straight-line) motion have direct analogs in rotational motion Slide 39 Angular Momentum 38 Angular momentum is proportional to rotation speed ( ) times rotational inertia (I) Rotational inertia characterized by (mass) (radius) 2 distribution in object Slide 40 Angular Momentum Conservation Speed up rotation by tucking in Slow down rotation by stretching out Seen in diving all the time Figure skaters demonstrate impressively Effect amplified by moving large masses to vastly different radii 39 Slide 41 Do cats violate physical law? Cats can quickly flip themselves to land on their feet If not rotating before, where do they get their angular momentum? There are ways to accomplish this, by a combination of contortion and varying rotational inertia 40