Impulse and Momentum Collisions and conservation of momentum

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Presentation transcript:

Impulse and Momentum Collisions and conservation of momentum Chapter 9 Pages 229-255 I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

9.1 Impulse and Momentum Scan page 230 Write down the following information: Define Impulse, Momentum, and Impulse-Momentum theorem Write out the formulas for momentum and the impulse-momentum theorem What are the units for momentum? Impulse? I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

Impulse and Momentum in a crash Read the last 2 paragraphs on page 231. What can result in a large impulse? What happens to the driver when a crash suddenly stops a car? How does an airbag reduce the likelihood of injuries? I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

p.233 Practice problems m = 725 kg, v = 115 km/h (change to m/s) 23200 kgm/s eastward Use the above momentum to find v when m = 2175 kg t = 2.0 s, F = 5000 N 10000 Ns westward pf = 13200 kgm/s east, v = ? Skip m = ____ kg, vi = ___ m/s, vf = ____ m/s, t = ____ s ∆p = 5280 kgm/s (also equal to change in impulse) F = 88.0 N On your own I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

Angular Momentum Write the formulas on p.233 and 234 Read 234-235 about the forces acting, planets orbiting the Sun, divers off a diving board, and ice-skaters. Be prepared for either a short-answer or essay question on your next test. I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

Individual assignment 9.1 section review P.235 (#6-12) Due by the end of class today I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

Bellringer Which has greater momentum, a 2.0kg hockey puck moving east at 2.5m/s or a 1.3kg hockey puck moving south at 3.0m/s? A 147.25 kilogram motorcycle is moving at a speed of 69.75 m/s. What is the momentum of the cycle? If the motorcycle above crashes into a wall and stops in a time of 0.05 seconds, how much force acted on the cycle to bring it to a stop? I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

9.2 Conservation of momentum Read on p.236 about Momentum in a Closed, Isolated System. Define all bold terms. Why does it matter if the system is closed and isolated? I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

Collisions When objects collide in a closed, isolated system, momentum is conserved. Equation: pCi + pDi = pCf + pDf Example Problem 2 on p.237 together Sketch the situation for all problems and label all variables (different m and v) Pay attention to whether objects stick together or not – this will change the equation slightly. I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

Practice problems P.238 (#13-18) 13. 1.1 m/s 14. 0.034 m/s 18. 2.0 m/s in the opposite direction I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

Recoil Read on p.239 about propulsion in space. Go over Example Problem 3 together (p.240) What is the equation for a recoil problem? Practice problems on p.240 19. 7.91 m/s 20. 9.0 cm/s to the right 21. 2.8 m/s in the opposite direction I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

Two-dimensional collisions Time to add vectors and angles! Split all problems into the x and y directions Right triangles!! Go over Example Problem 4 together (p.242) Practice p.243 (#22-25) 22. 11.2 m/s, 36.6o north of west 23. 18.1 m/s, 15.9o south of east 24. 3.5 m/s, 30.0o to the right 2.0 m/s, 60.0o to the left 25. 22.1 m/s, yes I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

Conservation of angular momentum Read p.243-245 about conservation of angular momentum. Pay special attention to explanation of Earth’s rotation, an ice-skater’s rotation, tops, and gyroscopes. I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.

9.2 section review P.245 (#28-31) – due today Chapter 9 review p.250-253 (#32-42, 48-64even, 73-82) I Can: Given the mass, velocity and time it takes to stop an object in an inelastic collision, determine the momentum and impulse of the collision.