Momentum and Collisions Phet Simulation http://phet.colorado.edu/sims/collision-lab/collision-lab_en.html The menu in the upper right corner will allow you to toggle quite a few displays. You may find putting check marks in velocity vectors and momentum vectors helpful. Choosing show values will also provide you with the “real time” values for velocity and momentum during the simulation. This also where we will control how elastic the collisions are. Clicking on the “more data” button will bring up the following display This will allow you more control over the initial conditions for the objects. Elastic Collision Investigation: 1) What do we need to see mathematically to prove/justify a collision is elastic? Simulate the four elastic collision below (be sure elasticity is set to 100%). Complete the table using math and the simulation. The “before collisions” items must be determined before you can run the simulation. Feel free to use the simulation to get your values for “after collision” from the simulation. Show any needed work in the space below the data table. # 1 m1 2.0 kg m2 2.0 kg 2 2.5 kg 5.0 kg 3 3.0 kg 6.0 kg 4 6.0 kg BEFORE COLLISION v1 v2 1.5 m/s -1.0 m/s 2.0 m/s 0.0 m/s 2.0 m/s -1.0 m/s ptotal 0 kg·m/s AFTER COLLISION v1 v2 0 kg·m/s 8.0 kg·m/s 2) Two objects with the same mass move towards each other with the same magnitude of their velocities and experience an elastic collision. Qualitatively compare the final velocities of each object to their initial velocities (be sure to comment on both magnitude and direction) 3) A less-massive moving object has an elastic collision with a more-massive object that is not moving. Qualitatively compare the initial velocity (speed and direction) of the less-massive object to its final velocity. Partially Inelastic Collision investigation: For this simulation please set the Elasticity to 40% You are going to redo the same four scenarios as before, so your “before collision” values will just transfer down. You will need to run your simulation to get the “after collision values” # 1 m1 2.0 kg m2 2.0 kg 2 2.5 kg 5.0 kg 3 3.0 kg 6.0 kg 4 6.0 kg BEFORE COLLISION v1 v2 1.5 m/s -1.0 m/s 2.0 m/s 0.0 m/s 2.0 m/s -1.0 m/s ptotal 0 kg·m/s AFTER COLLISION v1 v2 0 kg·m/s 8.0 kg·m/s For scenario 4 in both the elastic and partially inelastic collisions calculate and compare the total initial kinetic energy of the system to the final kinetic energy of the system. What did you find was true for elastic that was not true for the partially inelastic? One more on the next page Totally Inelastic Collisions Simulate the four elastic collision below (be sure elasticity is set to 0%). Complete the table using math and the simulation. The “before collisions” items must be determined before you can run the simulation. Feel free to use the simulation to get your values for “after collision” from the simulation. Show any needed work in the space below the data table. BEFORE COLLISION # 1 m1 2.0 kg m2 2.0 kg v1 1.5 m/s v2 0 2 3.0 kg 6.0 kg 1.5 m/s -0.75 m/s 3 1.5 kg 5.0 kg 2.0 m/s 0.2 m/s 4 10.0 kg 2.0 m/s -1.0 m/s AFTER COLLISION ptotal v1 and v2 10.0 kg·m/s Two objects moving toward each other with different momentums experience an inelastic collision. In which direction will both objects travel after the collision? (Provide a qualitative response). If two object are traveling towards each other and stop as a result of their totally inelastic collision, what must be true?