Question 3 of 5 Two carts collide and after the collision, they become one (plastic collision). The kinetic energies of either cart before and after the collision: are conserved. are not conserved.
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Step 1: The question asks about the conservation of kinetic energy in a plastic collision where two carts collide and become one. Show more…
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If two carts of equal mass and equal but opposite velocity collide elastically, how will they move after the collision? Both carts would reverse their velocity direction but remain the same velocity magnitude as they had before the collision. Both carts would start moving at 15 degrees angle to their initial trajectory. One of the carts comes to rest and the other cart bounces back and moves with 2 times larger velocity. Both carts come to rest. Question 11 The total energy of an isolated system for both elastic and inelastic collision is ... not conserved conserved increases with the time none of the above
Rajesh K.
Table 3: Momentum and Kinetic Energy before and after a collision Mass of Red Cart (kg) Mass of Blue Cart (kg) Cart vo (m/s) vf (m/s) Po (kg m/s) Pf (kg m/s) KEo (kg m^2/s^2) KEf (kg m^2/s^2) Red Blue P(sys)o = P(sys)f = KE(sys)o = KE(sys)f = Show the calculations here for P(sys)o, P(sys)f, KE(sys)o, and KE(sys)f. P(sys)f = KE(sys)o = KE(sys)f = 3. Using your data, explain how you know that momentum was conserved, but kinetic energy was not conserved. Collision with stationary cart 4. You should have found that the pair of carts moving as one with a mass of 2 * mcart had half the speed of the single cart with a mass of 1 * mcart. Why then is the kinetic energy less after the collision? That is, why doesn't one cart with a speed of v have the same kinetic energy as two carts each with a speed of v^2? Here's a head start to your answer. Before the collision, the object carrying all the momentum and KE had a mass of mcart and a speed of vo. For the situation in Graph III1, what fraction of the kinetic energy of the carts remains after the collision? That is, what is (KEfinal/KEinitial)? You don't have any numbers to work with, but you don't need any. For the situation in Graph III2, what fraction of the kinetic energy of the carts remains after the collision? That is, compute (KEfinal/KEinitial). You'll need to use your numbers this time. Show calculations of total KEfinal/KEinitial here.
Sri K.
Examine each cart before and after the collision. Calculate the ratio of the total kinetic energy before the collision. Enter the values in the collision Table. If the total momentum for the system is conserved, what would be the ratio of the total momentum before the collision? If the total kinetic energy for the system is the same before and after the collision, we say that kinetic energy is conserved. If kinetic energy were conserved, what would be the ratio of the kinetic energy before the collision? Inspect the momentum ratios in Table 3. Even if momentum is conserved for a given collision, the measured values may not be exactly the same before and after due to measurement uncertainty. The ratio should be close, however. Is momentum conserved in your collisions? Repeat the preceding question for the case of kinetic energy, using the kinetic energy ratios in Table 4. Is kinetic energy conserved in the magnetic bumper collisions? How about the shock collisions? Is kinetic energy consumed in the third type of collision studies? Classify and pile the three collision types as elastic, inelastic, or completely inelastic. Check this by completing Table. What is the maximum value you found? If the last of the carts had increased combined kinetic energies.
Prachi J.
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