Types Of PjProblemStrings Sequences.
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Expressions Of Pj Problems
Types Of PjProblemStrings Sequences

Types Of PjProblemStrings Sequences

PjProblemStrings Sequences are the work-horses of dynamic spaces. The primary types are as follows:
(1) Stand-alone PjProblemStrings Sequences
(2) Queueing PjProblemStrings Sequences
(3) Colliding PjProblemStrings Sequences
(4) Displacement PjProblemStrings Sequences
(5) Overlapping PjProblemStrings Sequences
(6) Hovering PjProblemStrings Sequences
(7) Linked PjProblemStrings Sequences

(a) Give at least one example for each of the seven types
of PjProblemStrings Sequences.
(b) Interprete Newton's first and third laws of motion in the context of PjProblemStrings Sequences.

The strings: S7P3A3k (force -k =1, 2), S7P4A4k (motion- k =1, 2, 3,4).

The math:
All Pj Problems are at play. However, Pj Problems of Interest are of types force and motion.

Types Of PjProblemsStrings Sequences

(1) Stand-alone PjProblemStrings Sequences: examples are a crane offloading containers one at a time; walking; running; driving a car; flying an airplane. In essence all solo motions are of this type.

The remaining six types are different groupings/interactions of stand-alone PjProblemStrings Sequences.
(2) Queueing PjProblemStrings Sequences: examples are, customers queueing in front of the service counter of a service company; cars queueing at a traffic light, marching in single file, etc.
(3) Colliding PjProblemStrings Sequences: examples are, two lovers kissing; a sperm fertilizing and ovum; two or more cars colliding; a missile hitting an aircraft; a batter hitting the baseball thrown by a pitcher; kinetic collisions when heat is applied to matter, etc.
(4) Displacement (or Replacement) PjProblemStrings Sequences: examples are, drinking with a straw (suction - air moves, liquid replaces); convection flow (warm air rises, cold air sinks).
(5) Overlapping PjProblemStrings Sequences: covalent bonding (atomic orbitals overlap to form molecular orbitals).
(6) Hovering PjProblemStrings Sequences: examples are, a cop helicopter trailing a suspect, a skateboarder's jump; a stuntman's jump. In this type, the hovering PjProblemStrings Sequence hovers above another PjProblemStrings Sequence sequence.
(7) Linked PjProblemStrings Sequences: examples are, a moving train; a tow truck towing a vehicle.

(bi) Newton's First Law: an object at rest will remain at rest and an object in motion will remain in motion at constant velocity unless acted upon by an unbalanced force.
In the context of PjProblemStrings Sequences, colliding PjProblemStrings Sequences are needed to overcome the inertia of an object at rest and an object in motion at constant velocity. A stand-alone PjProblemString Sequence is created in the former scenario and the stand-alone PjProblemString Sequence in the latter scenario is change to an accelerating sequence after collision. In the case of an automobile, the collision occurs between the foot and the accelerator pedal.

(bii) Newton's Third Law: for every action, there is an equal and opposite reaction. In other words, all forces come in pairs.
Hence PjProblemStrings Sequences are motions sandwiched between two forces. The first force is a resultant force (action - reaction) causing motion. The second force opposes motion. Motion continues until the resultant force equals zero.


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