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Chapter 10: Collisions
Introduction
 Collisions
 Impulse and Linear Momentum
– Single Collision
– Series of Collisions
 Momentum and Kinetic Energy
 Inelastic Collisions in One Dimension
– One-Dimensional Collision
– Completely Inelastic Collision
 Elastic Collisions in One Dimension
 Collisions in Two Dimensions
Impulse and Linear Momentum
Definition of Impulse
Impulse–Linear
Momentum Theorem
Collision of two
particle-like bodies
Steady stream of
projectiles
Momentum and Kinetic Energy
Closed system (no mass enters or leaves)
Isolated system (no external net force)
Elastic collision (kinetic energy conserved)
Inelastic collision (kinetic energy not conserved)
Completely inelastic collision (bodies always
stick together)
In a closed, isolated system containing a collision, the
linear momentum of each colliding body may change
but the total momentum P of the system cannot
change, whether the collision is elastic or inelastic.
Inelastic Collisions in 1D
Conservation of Linear Momentum
Completely Inelastic Collision
Velocity of Center of Mass
Elastic Collisions in 1D
In an elastic collision, the kinetic energy of each colliding body may change,
but the total kinetic energy of the system does not change.
Stationary Target
Moving Target