8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Definitions, including p = m*v and F = dp/dt.
Conservation of Momentum
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Summary of work/energy; momentum defined, with equation (p = m*v); conservation of momentum.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
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.
Two people jumping off a railway flatcar.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Example, showing momentum conserved but kinetic energy lost; examples of KE loss.
Inelastic Collisions
Conservation of momentum in inelastic collisions; loss of kinetic energy to heat; internal forces.
Inelastic Collisions
Example of inelastic car collision in 2D; explosions and gain of KE.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Real-World Collisions
Demonstrations showing blocks exploding apart on air track; p = 0 while KE increases.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Collision Demonstrations
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Definition, including superelastic collisions; equations of motion for elastic collisions; limiting cases.
Elastic Collisions
Calculating speed of both objects after an elastic collision between a bullet and a pendulum.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Collision of two hockey pucks.
Elastic collisions of billiard balls and shuttles on air track; 3 demonstrations.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Elastic Collision Demonstrations
Calculations in reference frame of CM; transforms back and forth.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Center of Mass Frame
Calculation of heat loss in inelastic collision using lab frame and CM frame; limiting cases.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Heat Loss in Collisions
Inelastic collisions on air track with m-->m and m-->2m; detailed calculations and predictions.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Inelastic Collision Demonstration
Setup and calculations for system of bullet hitting pendulum to measure speed.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Ballistic Pendulum
Measuring the speed of a bullet by shooting a block suspended by two cables.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Numerical calculations for ballistic pendulum experiment; kinetic energy loss approximated.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Ballistic Pendulum Demonstration
Elastic and inelastic collision equations of motion; loss of kinetic energy to heat.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Review of Collisions
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.
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
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.
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Variable mass motion example problem.
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Definition of impulsive force, with example; elastic and inelastic collisions, with examples in one-dimension and two-dimensions.
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Two-dimension elastic collisions, with example; ballistic pendulum; definition and properties of collisions; collisions and kinetic energy in center of mass frame of reference.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
General problem-solving strategy, techniques, and helpful hints; momentum formulas.
Elastic and inelastic collisions. Solution not included.
Short answer questions about elastic and inelastic collisions.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Concept questions about elastic and inelastic collisions between two or more bodies; some questions involve mass-spring systems.
Collision of a moving body with a stationary body attached to a spring.
Conservation of momentum and energy; collisions.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
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.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Momentum and collision experiment setup and procedure.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Momentum and change of momentum defined, with equations; strategies for solving momentum and impulse problems; collisions and conservation of momentum; center of mass.
Course Material Related to This Topic:
Friction and acceleration; which forces must be known to solve for energy and momentum; kinetic energy and momentum in a collision. Solution not included.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Changes in momentum and kinetic energy of two objects. Solution not included.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Momentum and kinetic energy of a baseball bat; simple harmonic motion of two mass-spring systems. Solution not included.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Inelastic collision of two bodies.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Elastic collision of two bodies, including projectile motion.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Elastic collision of two bodies.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Elastic collision of two carts on a track.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Elastic and inelastic collisions between a pendulum bob and an object.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Concept questions about conservation of momentum in isolated systems of one or more bodies.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Concept questions regarding collisions of carts on a frictionless track.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Motion of an oscillating mass on a spring, before and after colliding with a lump of putty.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Motion of two objects that collide elastically.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Analysis of data collected in Experiment 7.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Analysis of data collected in Experiment 9.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
9-part momentum problem: finding speed and kinetic energy for two people sliding a block.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
For two elastically colliding pucks, calculating velocity and kinetic energy before and after collision.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Calculating height of tennis ball bouncing off dropped basketball.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Momentum, kinetic energy, and velocity of center of mass for exploding particle.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
Gain in mechanical energy from looping around a planet; finding new velocity and energy.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
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.
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Finding resultant velocity and kinetic energy for 2D collision; elastic vs. inelastic collision. Solutions are included after problems.
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Straight rod brushes against fixed object; finding ω, kinetic energy, speeds of both ends after collision. Solutions are included after problems.
8.01 Physics I, Fall 2003
Prof. Stanley Kowalski
Course Material Related to This Topic:
Motion of two steel balls following a linear collision.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Motion of a moving ball colliding with a stationary block.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Inelastic collision of a clay ball with a block connected to a spring.
8.01L Physics I: Classical Mechanics, Fall 2005
Dr. George Stephans
Course Material Related to This Topic:
Final speed and lost kinetic energy in explosion into two pieces.
8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
Calculating final and initial speed of one object in collision, as well as the mass ratio.
8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
For inelastic collision, finding initial and final velocities and pendulum attributes.
8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
6-part problem; p of ball before and after hitting floor; average force and impulse; change in kinetic energy.
8.01X Physics I: Classical Mechanics with an Experimental Focus, Fall 2002
Dr. Peter Dourmashkin, Prof. Kate Scholberg
Course Material Related to This Topic:
Elastic collision of two rolling carts with respect to reference frame moving with the center of mass.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Conservation of momentum of an exploding puck.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Collision of a body with another body connected to a spring.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Inelastic collision involving an oscillating mass attached to a spring.
8.01T Physics I, Fall 2004
Dr. Peter Dourmashkin, Prof. J. David Litster, Prof. David Pritchard, Prof. Bernd Surrow
Course Material Related to This Topic:
Calculating θ_{max} for pendulum after an inelastic collision between a bullet and a pendulum.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic:
5-part collision problem; finding p before and after, as well as resultant velocities and kinetic energy.
8.01 Physics I: Classical Mechanics, Fall 1999
Prof. Walter Lewin
Course Material Related to This Topic: