What Determines the Outcome in These Momentum and Collision Scenarios?

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The discussion focuses on momentum and collision scenarios involving two gliders of different masses (7 kg and 2 kg) and their interactions. It concludes that both gliders experience the same magnitude change in momentum due to Newton's 3rd law, despite their differing masses. Additionally, it clarifies that not all forces in a system can be internal if the center of mass is accelerating, indicating the presence of external forces. The collision between the cue ball and the 6 ball is determined to be almost completely elastic, as the total kinetic energy remains constant before and after the collision.

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  • Understanding of Newton's 3rd Law of Motion
  • Familiarity with the concepts of momentum and kinetic energy
  • Knowledge of elastic and inelastic collisions
  • Basic grasp of center of mass and external vs. internal forces
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  • Study the principles of elastic and inelastic collisions in detail
  • Learn about momentum conservation in isolated systems
  • Explore the concept of center of mass and its implications in dynamics
  • Review Newton's laws of motion and their applications in collision scenarios
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1.1. A 7 kg glider on an air track starts with an initial velocity of 32 m/s and then runs into a 2 kg glider which is initially at rest. During the collision, which glider has a larger magnitude change in momentum? Explain your answer.

2. We observe the center of mass of a system of objects and realize that it is accelerating. Could all of the forces acting on the system be internal forces? Why or why not?

3. You are playing pool. You hit the cue ball into the 6 ball. If there is no spin on the ball and you hit it straight on center, the cue ball stops dead, and the 6 ball rolls off with approximately the same velocity that the cue ball had before. Is the collision between the balls:

Almost completely elastic
Almost completely inelastic
Roughly halfway between completely elastic and completely inelastic
You can't tell from the information given.

4. Explain your answer to the multiple choice question



Homework Equations

K=(1/2)mv^2
p=mv



3. 1. They both experience the same magnitude change, since this is an isolated system, and these two objects exert the same force on each other (in magnitude, but opposite directions, according to Newton's 3rd law).

2. No, if all the forces acting on it were internal, then net force would equal zero, and there would be no acceleration. Thus, there must be some external forces.

3. Almost completely elastic

4. In this example, the total kinetic energy would be the same after the collision, as before the collision. Before the collision, one of the balls is moving with a certain velocity, and one is at rest. After the collision, the other ball has started moving with the same velocity, while the other one is now at rest. The balls are of roughly equal mass, and thus, the initial total kinetic energy is equal to the final total kinetic energy.

Thanks for any help!
 
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