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# Momentum And Impulse

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### Transcript

• 1. Linear Momentum and Impulse By: Qusay Alfaori Supervisor: Marc Reif
• 2. Collisions
• A collision is a short-duration interaction between two objects. For example, the collision between a baseball and a bat.
• It may seem instantaneous to our eyes, but look at the picture and see.
• We can tell that there is an
• interaction between the bat
• and the baseball.
• 3. What is linear Momentum
• The example of the baseball and the bat can make us think about the objects and their velocities when they collide.
• The linear momentum of a particle or an object can be modeled as a particle of mass ( m) moving with a velocity (v) is defined to be the product of the mass and velocity:
• 4. The relationship between Force and Linear Momentum
• If we follow this mathematical steps, we will come up with the relationship.
• We can conclude that the time rate of change of the linear momentum of a particle is equal to the net force acting on the particle.
• 5. What is Impulse
• The impulse is the force F acting on a particle equals the change in the momentum of the particle.
• or we can
• integrate to get the change in momentum.
• 6. Conservation of Momentum
• Two types of collisions: Elastic and Inelastic.
• Elastic collision: the total kinetic energy (as well as the total momentum) of the system is the same before and after the collision.
• Inelastic collision: the total kinetic energy is not the same before and after the collision ( even though the momentum of the system is conserved).
• Two types of inelastic collision: stick together after collision, and do not stick together after collision but some energy is lost.
• 7. Conservation of Momentum
• Momentum of the system is conserved in all collisions, but Kinetic energy of the system is conserved only in elastic collisions.
• 8. Conservation of Momentum
• Perfectly Inelastic Collisions:
• before collision
• after collision
• so we can say that momentum is conserved
• 9. Conservation of momentum
• So we can find the final velocity by doing this
• 10. Conservation of Momentum
• Elastic Collisions:
• before collision
• after collision
• we can say that momentum is conserved
• 11. Conservation of Momentum
• So each ball will have different velocity after collision and can be calculated this way
• 12. Sources
• Physics by Randall D. Knight