Linear Momentum BEFOREAFTER
x y x y
Red (kg.m/s)
Blue (kg.m/s)
Total (kg.m/s)
Angular MomentumBEFOREAFTER
Red (kg.m².rad/s)
Blue (kg.m².rad/s)
Total (kg.m².rad/s)
          Kinetic Energy           BEFORE AFTER
Redd (joules)
Blue (joules)
Total (joules)
Linear Momentum BEFOREAFTER
x y x y
Red (kg.m/s)
Blue (kg.m/s)
Total (kg.m/s)
Angular MomentumBEFOREAFTER
Red (kg.m².rad/s)
Blue (kg.m².rad/s)
Total (kg.m².rad/s)
             Kinetic Energy             BEFORE AFTER<
Red (joules)
Blue (joules)
Total (joules)
Translational Kinetic Energy BEFORE AFTER
Red (joules)
Blue (joules)
Total (joules)
Rotational Kinetic Energy AFTER
Red (joules)
Blue (joules)
Total (joules)
Linear Momentum BEFOREAFTER
x y x y
Red (kg.m/s)
Blue (kg.m/s)
Total (kg.m/s)
Kinetic Energy BEFORE AFTER
Red (joules)
Blue (joules)
Total (joules)
Linear Momentum BEFOREAFTER
x y x y
Red (kg.m/s)
Blue (kg.m/s)
Total (kg.m/s)
Kinetic Energy BEFORE AFTER
Red (joules)
Blue (joules)
Total (joules)

  'CoM' means 'Center of Mass'.


  m : mass (kg)

                      (a scalar quantity)

  v : velocity (m/s)

                      (a vector quantity)

  p : linear momentum (kg.m/s)

                      (a vector quantity)

  K : kinetic energy (J)

                      (a scalar quantity)

        p=mv


        K=½mv²



  The law of conservation of

  momentum:

  The total momentum of an isolated

        system at a moment in time

                        is equal to

  The total momentum of that same

       isolated system at any other

              moment in time.




Angular and rotational calculations:

...are calculated about the center of mass (which may

be moving)... which results in the angular momentum of

each mass being the same. Assume the masses are disks.

.

Collision words:

Elastic collision: No K lost during collision.

Inelastic collision: Some K lost during collision.

Perfectly inelastic collision: Maximum K lost during collision.


Masses that collide and stick together

have a perfectly inelastic collision.


'Elastic collision' means the same thing as

a 'perfectly elastic collision' (!)

'Perfectly inelastic collision' means the same

the same thing as a 'completely inelastic collision' (!)


Coefficient of restitution:

      The relative speed before the collision

                          divided by

      The relative speed after the collision.



There is no law of conservation of kinetic energy.




For right-angled triangles:

longest side²=shorter side² + the other shorter side²


sin θ  =side opposite to angle / longest side

cos θ=side adjacent to angle / longest side

tan θ  =side opposite to angle / side adjacent to angle














2DCollisionSim

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copyright © Martin Kirby 2022

    [email protected]


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 Masses stick together

3 m3=radius


3 m3=radius


3 m3=radius


5=object


5=g


5=angle


5=angle


3 m3=radius


3 m3=radius


3 m3=radius


5=object


5=g


5=angle