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# Momentum And Impulse

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### Momentum And Impulse

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