1. LINEAR MOMENTUM
The rate of change of the linear momentum of a particle is equal to the net force acting on the particle.

2. Total momentum

3. Change in momentum

4. Conservation of Linear Momentum
Total momentum of two-ball system is conserved
momentum before = momentum after

7. Collisions and Impulse
Before
During
(strong forces on each other for a short time)
After

9. Elastic Collisions
(kinetic energy is conserved)
Collisions
Inelastic Collisions
(kinetic energy is not conserved)
Linear momentum is conserved in both cases

11. Inelastic Collisions in 1-Dimension
Completely Inelastic Collision

12. Ballistic Pendulum
The ballistic pendulum is a device to measure the speed of a projectile such as a bullet. The projectile of mass m is fired to a large block of mass M, which is suspended like a pendulum. As a result of the collision, the pendulum and projectile swing up to a maximum height h. Determine the relationship between the initial speed of the projectile v and the maximum height h.

13. Elastic Collisions in 1-Dimension
Linear momentum is conserved
Kinetic Energy is conserved

14. Unequal masses, target at rest

15. Collisions in Two Dimensions
Before
During
After

17. Two billiard balls of equal mass move at right angles and meet at the origin. Assume the collision is elastic, what is the final direction of the A ball and what are the balls’ final speeds?

19. CENTER OF MASS (CM)
The center of mass of a body or a system of bodies is the point that moves as if all of the mass concentrated at that point and all forces acting on it.

21. Solid Bodies
Objects with uniform density