Definitions, including p = m*v and F = dp/dt.

Example, showing momentum conserved but kinetic energy lost; examples of KE loss.

Example of inelastic car collision in 2D; explosions and gain of KE.

Demonstrations showing blocks exploding apart on air track; p = 0 while KE increases.

Definition, including superelastic collisions; equations of motion for elastic collisions; limiting cases.

Elastic collisions of billiard balls and shuttles on air track; 3 demonstrations.

Calculations in reference frame of CM; transforms back and forth.

Calculation of heat loss in inelastic collision using lab frame and CM frame; limiting cases.

Inelastic collisions on air track with m-->m and m-->2m; detailed calculations and predictions.

Setup and calculations for system of bullet hitting pendulum to measure speed.

Numerical calculations for ballistic pendulum experiment; kinetic energy loss approximated.

Conservation of momentum in inelastic collisions; loss of kinetic energy to heat; internal forces.

Elastic and inelastic collision equations of motion; loss of kinetic energy to heat.

Definition of momentum (p = m*v); Newton's laws and momentum; law of conservation of momentum of a particle and of a system of particles, with examples; relationship between forces and momentum; elastic and inelastic collision, with examples.

Center of mass of an area of constant thickness, with examples; motion of the center of mass; internal and external forces, with examples; energy of a system of particles; variable mass motion, with rocket example.

Variable mass motion example problem.

Definition of impulsive force, with example; elastic and inelastic collisions, with examples in one-dimension and two-dimensions.

Two-dimension elastic collisions, with example; ballistic pendulum; definition and properties of collisions; collisions and kinetic energy in center of mass frame of reference.

Definition of momentum (p = m*v); Newton's laws and momentum; law of conservation of momentum of a particle and of a system of particles, with examples; relationship between forces and momentum; elastic and inelastic collision, with examples.

Center of mass of an area of constant thickness, with examples; motion of the center of mass; internal and external forces, with examples; energy of a system of particles; variable mass motion, with rocket example.

Variable mass motion example problem.

Definition of impulsive force, with example; elastic and inelastic collisions, with examples in one-dimension and two-dimensions.

Two-dimension elastic collisions, with example; ballistic pendulum; definition and properties of collisions; and collisions and kinetic energy in center of mass frame of reference.

Summary of work/energy; momentum defined, with equation (p = m*v); conservation of momentum.

Conservation of momentum and energy; collisions.

General problem-solving strategy, techniques, and helpful hints; momentum formulas.

Definition of momentum (p = m*v) and impulse; non-constant force and impulse; conservation of momentum; translational motion of the center of mass; modeling external forces and conservation of momentum; modeling of instantaneous collisions; momentum diagrams and equations.

Momentum and impulse equations; definition of conservation of momentum for an isolated system; momentum problem solving strategies; momentum diagram and equations; planar collision theory; elastic collisions; 2D elastic collision example problem.

Momentum and collision experiment setup and procedure.

Momentum and change of momentum defined, with equations; strategies for solving momentum and impulse problems; collisions and conservation of momentum; center of mass.

Friction and acceleration; which forces must be known to solve for energy and momentum; kinetic energy and momentum in a collision. Solution not included.

Changes in momentum and kinetic energy of two objects. Solution not included.

Elastic and inelastic collisions. Solution not included.

Momentum and kinetic energy of a baseball bat; simple harmonic motion of two mass-spring systems. Solution not included.

Inelastic collision of two bodies.

Solution (PDF)^#

Elastic collision of two bodies, including projectile motion.

Solution (PDF)^#

Elastic collision of two bodies.

Solution (PDF)^#

Elastic collision of two carts on a track.

Solution (PDF)^#

Two people jumping off a railway flatcar.

Solution (PDF)^#

Elastic and inelastic collisions between a pendulum bob and an object.

Solution (PDF)^#

Concept questions about conservation of momentum in isolated systems of one or more bodies.

Concept questions about elastic and inelastic collisions between two or more bodies; some questions involve mass-spring systems.

Concept questions regarding collisions of carts on a frictionless track.

Solution (PDF)^#

Motion of an oscillating mass on a spring, before and after colliding with a lump of putty.

Solution (PDF)Experiment 7 Pre-Lab

Motion of two objects that collide elastically.

Solution (PDF)^#

Analysis of data collected in Experiment 7.

Solution (PDF)^#

Measuring the speed of a bullet by shooting a block suspended by two cables.

Solution (PDF)^#

Analysis of data collected in Experiment 9.

Solution (PDF)^#

9-part momentum problem: finding speed and kinetic energy for two people sliding a block.

Solution (PDF)

For two elastically colliding pucks, calculating velocity and kinetic energy before and after collision.

Solution (PDF)^#

Calculating height of tennis ball bouncing off dropped basketball.

Solution (PDF)^#

Momentum, kinetic energy, and velocity of center of mass for exploding particle.

Solution (PDF)^#

Gain in mechanical energy from looping around a planet; finding new velocity and energy.

Solution (PDF)^#

4-part problem; two balls collide at angle; finding momentum, speed before and after, and velocity of center of mass. Solutions are included after problems.

Finding resultant velocity and kinetic energy for 2D collision; elastic vs. inelastic collision. Solutions are included after problems.

Straight rod brushes against fixed object; finding ω, kinetic energy, speeds of both ends after collision. Solutions are included after problems.

Collision of two hockey pucks.

Solution (PDF)

Short answer questions about elastic and inelastic collisions.

Solution (PDF)

Motion of two steel balls following a linear collision.

Solution (PDF)

Motion of a moving ball colliding with a stationary block.

Solution (PDF)

Inelastic collision of a clay ball with a block connected to a spring.

Solution (PDF)

Final speed and lost kinetic energy in explosion into two pieces.

Solution (PDF)^#

Calculating final and initial speed of one object in collision, as well as the mass ratio.

Solution (PDF)^#

For inelastic collision, finding initial and final velocities and pendulum attributes.

Solution (PDF)^#

6-part problem; p of ball before and after hitting floor; average force and impulse; change in kinetic energy.

Solution (PDF)^#

Elastic collision of two rolling carts with respect to reference frame moving with the center of mass.

Solution (PDF)^#

Collision of a moving body with a stationary body attached to a spring.

Solution (PDF)^#

Conservation of momentum of an exploding puck.

Solution (PDF)^#

Collision of a body with another body connected to a spring.

Solution (PDF - 2.0 MB)^#

Inelastic collision involving an oscillating mass attached to a spring.

Solution (PDF - 1.1 MB)

Calculating speed of both objects after an elastic collision between a bullet and a pendulum.

Solution (PDF)

Calculating θ_max for pendulum after an inelastic collision between a bullet and a pendulum.

Solution (PDF)

5-part collision problem; finding p before and after, as well as resultant velocities and kinetic energy.

Solution (PDF)