JG10. Examples of practical problems of totaliztic mechanics together with solutions
@ Dr. Ing. Jan Pająk

JG10. Examples of practical problems of totaliztic mechanics together with solutions
Motto of this subsection: "If something works, then it can be utilised on many different ways."

After we defined the basic quantities and relationships of totaliztic mechanics, now it is possible to carry out various quantitative calculations for situations from everyday life. In these calculations one group of quantities is determined, when we know values of other quantities that are used as data. In this aspect totaliztic mechanics repeats exactly the capability of classical mechanics, in which due to knowledge of various data, it is possible to calculate the quantities that interest us (for example knowing the speed of a car, distance, and the fuel consumption, we can determine the time of our drive, the supply of fuel that we need, and the fuel cost of our trip). Of course, otherwise than this is the case with classical mechanics, in which almost all constants and data are already measured by someone, and made available in appropriate literature, the data for totaliztic mechanics still await of their measurements. Thus in problems listed here, I only stated their approximate values or example values.
As this subsection is still not a textbook of totaliztic mechanics, but only an initial information about the formulation and potentials of this discipline, examples that are used here are mainly oriented towards the illustration of a type of problems that totaliztic mechanics is able to solve, towards manner of using the system of quantities that was defined earlier, towards the approach to solving problems, towards principles of determining the lacking input data, and towards its similarities to classical mechanics. In turn the more wide and differentiated set of examples of the use of this mechanics, readers should seek in future editions of this monograph [8].
The present lack of units of measure and data for totaliztic mechanics, causes that on this stage, problems of totaliztic mechanics can be solved only with the use of pure units of measures, which still await their defining and determining. These pure units of measure of totaliztic mechanics, according to what was explained in subsections JG3.1 to JG3.8, are called and marked as follows:
- [time] for units of moral time (identical to units of physical time),
- [mass] for units of moral mass or intelligence,
- [displacement] for units of moral displacement or motivation,
- [velocity] for units of moral velocity,
- [acceleration] for units of moral acceleration or responsibility,
- [force] for units of moral force or feeling (for simplicity we can assume now that 1 [force] = 1 [CF]),
- [energy] for units of moral energy or zwow (for simplicity at this stage we can assume that 1 [energy] = 1 [hps]),
- [power] for units of moral power.
Here is the set of problems of totaliztic mechanics, and their solutions, selected for presentation in this subsection.

Problem 1. Consider a hypothetical country, the government of which insists to complete a project of a dam in centre of native jungle. After it is completed this dam causes the removal and destruction of around 500 square kilometres of mature woodland. In this woodland trees grow of the average age of around 100 years. Each tree occupies in average around 25 square metres of the soil. Activists of protection of natural environment argue that destruction of this jungle is to cause damages that are not to be repaired. In turn the government claims that the loss of trees can easily be compensated by taking a country-wide action of planting by each citizen of this country of two new trees. Because such action of planting would cause that the number of newly planted trees would twice exceed the number of trees destroyed by the dam, a significant number of citizens agrees with the government. With the use of method of moral energy as a criterion of comparison and a measure of balance, analyse who is at right: government or activists. Your calculations base on the following data and assumptions: yearly increase of each tree of the destroyed type in the considered climate is causing an average increase of moral energy of our planet by around 16 units [energy], the planting of a single tree causes the instant increase of moral energy by 8 units [energy], considered country has 20 million of citizens, and the action of planting of new trees provided the most optimistic results, i.e. in the period of the building of this dam each citizen of this country is going to actually plant two new trees. For a better realization of quantitative proportions between the loss and gain, calculate how many countries of the size of the considered one, would need in the discussed time undertake a similar action of planting new trees, to compensate for the loss of moral energy caused by the destruction of old trees in the effect of construction of this dam.
Solution for problem 1: the total number of 100-year-old trees in the jungle destroyed by this dam is amounting to N - S/s = 500 000 000/25 = 20 000 000. Thus only in the grow of these trees, the amount of moral energy is contained equal to: 20 000 000 x 365 x 100 x 16 units [energy] (note that symbol "x" means multiplication). In turn the increase of moral energy caused by the planting of two new trees by each of 20 millions of people of this country, is going to amount to E = 20 000 000 x 2 x 8 units [energy]. After calculations it comes out, that in order to neutralise the consequences of cutting out of the jungle, all people from an equivalent of around 36 500 countries of the size of considered one, would need to carry out a simultaneous action of planting two trees. Because on a whole our planet there is only several hundred countries, the above realises how enormous is the destruction caused by the dam, and how harmful for people is the balance of energy that it causes. The above should be supplemented with an information, that as humanity is slowly learning now, changes of moral energy caused by cutting and planting trees are global, means by the growth of timber, photosynthesis, water cycle, oxygen cycle, carbon cycle, nitrogen cycle, ions emission, impact on climate, elimination of glasshouse effect, reduction of pollution of water and air, etc., they impact not only people who physically deal with these trees, but also all people on the entire Earth. The above example suggests, that perhaps it is worth to verify a stereotype opinion that all hydro-power stations are "clean". After all, in the area of reduction of moral energy of our planet, wrongly located and not very efficient hydro-power plants may cause much more negative consequences than well located and correctly operated coal power plants.
It is also worth to notice that this problem (1) illustrates a capability of totaliztic mechanics to exactly determine the quantitative proportions between qualitatively different actions, thus to reveal the level of their mutual correspondence. As we know, in a real life there are numerous situations, when with one type of action someone tries to compensate effects of another type of action. Because so-far there was no possibility to calculate the level of mutual correspondence of such two actions, the interested people were not able to determine exactly whether such a compensation actually took place, meaning whether this is a real, or just a gestural compensation. This in turn frequently led to the situation described by a Polish proverb "zamienil stryjek siekierke na kijek" (meaning "an uncle bargained an ax for a stick"), where an apparent compensation took place, but in a quantitative sense it was grossly unjust. As it appears from the above, totaliztic mechanics is repairing this situation, giving to hands of all people involved, a precise tool for justly comparisons.

Problem 2. John was walking alone through a park, where he encountered a band of hooligans whom he did not know. In the effect he received two kicks. Knowing that each of these kicks caused a feeling equal to F = 5 units [force], and that in the effect of this experience John changed his motivation (because of the loss of sense of self-security) by S = 10 units [displacement], calculate to how much amounted his decrease of moral energy caused by his future fear of lone walking through a park, and how much units of [time] John must spend on reading a textbook of physics in order to make up for the lost of moral energy caused by this event (note that his perception of physics amounts to: dS/dt = v = 2 units [velocity]).
Solution of problem 2: because of the anonymity of the harm (John did not know his offenders) the change of moral energy is described with a simplified equation (5JG3): E = FS. After substituting feelings in this equation F = 2 x 5 units [force], and the decrease of motivation: S = 10 units [displacement], we receive that John lost E = 100 units [energy]. In turn a daily increase of his moral energy because reading of a textbook of physics with the perception "v", is described by the equation: (Ev = 1/2mv2)/1 [day]. After substituting in this equation m = 1 [mass], and v = 2 [velocity], we receive that by reading a textbook of physics, in every unit of [time] John increases his moral energy by: Ev/1[time] = 1/2mv2 = 1/2x1x22 = 4 units [energy]/[time]. Because with his reading, John must compensate the entire loss of moral energy equal to E = 100 [energy], it is going to take him n = Ev/E = 100/4 = 25 units [time]. The solution of this problem suggest that in order to compensate for the loss of moral energy caused by being kicked in a park, John must spend full 25 units [time] (e.g. full 25 [days]) on reading textbooks of physics.
Problem 3. Civilisation on a "blue planet" around the year 1500 - according to their system of dating, experienced the drop of its moral energy to almost zero. From 1500 it started a period of intellectual development, geographical expansion, economical progress, creativity and moral growth, which lasted to around 1900. In this period its total level of moral energy was increased every year in average by E'=2 units [energy] per each citizen. From 1900 to around 1950 the development of this civilisation stopped because of the dissemination of parasitic philosophy. Although, because of the inertia, during this period the discussed civilisation still generated some moral energy, the increase of this energy was completely neutralised by the loss caused by social injustice, wars, revolutions, wrong decisions, unjustly laws, depletion of moral values, etc. Starting from 1950 the total amount of moral energy of this civilisation was dropping down in average by E"=10 [energy] per year. a) Assuming that this civilisation does not change its philosophy, and that the average number of its citizen (population) is to remain constant and amounting to around 1 billion during the entire period, calculate in what year this civilisation is going to extinct because of the moral suffocation. b) Knowing that in order to generate one unit of moral energy with the use of moral activity, it is necessary to endure the feeling (suffering) equal to around F'/E = 2 [force]/[energy], calculate what level of feeling F of suffering type would stop the process of moral suffocation of this civilisation. c) Knowing that an average level of feeling during one day of work amounts to F"=0.5 [feeling]/[time], calculate the equivalent of how many days of normal work all citizens of this civilisation would need to work each year for the good of other people, in order to stop the process of moral suffocation of this civilisation.
Solution of problem 3:
a) The solution of this problem can be accomplished on many different ways. The most obvious one would be to calculate the total amount of moral energy that this civilisation had in 1950, and then to calculate for how many years this amount suffices. A simpler solution utilises the liner increase and drop of moral energy of this civilisation, caused by its constant population. This allows to determine the proportion E'/E" between the growth and fall down. Knowing in turn this proportion and a span of time in which the growth was accomplished, it is possible to determine the period of time T on which the excess of moral energy should suffice. Carrying out this calculations now, with the yearly speed of fall down of moral energy amounting to E'/E", the previous accumulation of this energy suffices the civilisation to T = (1900-1500) x E'/E", means to T = 80 years. This means that in case of avoiding the change of the philosophy, this civilisation from the blue planet is going to die out completely until around 2030 because of the moral suffocation.
b) In order to stop the process of moral suffocation, each citizen of this civilisation must generate with moral activities the amount of moral energy equal to E" = 10 [energy], i.e. means the same amount which he/she is taking away from this civilisation by practising the philosophy of parasitism. Because for the generation of one unit of this energy, a given citizen must endure F'/E = 2 units [force] (suffering), in order to stop the process of moral suffocation each citizen must undertake the doing of moral things which cause in it the F = E" x F' = 10 x 2 = 20 units [force] of suffering per year.
c) In order to prevent the moral suffocation of this civilisation, each citizen of blue planet must every year complete moral actions which represent an equivalent of working by at least n = F/F" = 20/0.5 = 40 units [time], directing or passing all effects of his/her work for the good of other/all people.
Notice that an assumption of the constant population of the blue planet introduces a significant level of simplification (which was needed here in order to avoid unnecessary building up of this subsection). Therefore in order to lift the accuracy of calculations, the solution presented here would require more complicated model which at least considers changes in population.
Problem 4. In one of the countries of blue planet a group of researchers decided to determine the value of deceleration "-a" (means an opposite of the "administrative acceleration" or "sense of responsibility") that its citizens are encountering in governmental institutions - which in that country are "bastions of parasitism". For this, two teams of scientists were established composed of JE1=10 units [mass] and JE2=4 units [mass], who received a task of completing exactly the same formality that is characterised by motivation of S = 13 units [displacement] in exactly the same circumstances. The first team managed to overcome bureaucratic obstacles and fix this formality, when each of its members put into this t1=3 units [energy], while the second team - after putting by each member of t2=4 units [energy] (for definitions of the unit [energy] see subsection JG3.7 - it can be assumed at this stage that: 1 [energy] = 1 [hps]). a) Calculate to how much amounts the administrative deceleration "-a" of this country. b) Knowing that the population of that country represents m = 35 000 000 [mass], and knowing that in this country each person once every unit [time] is completing in governmental institutions one matter of the motivational value S' = 1 unit [displacement], calculate to how much amounts the daily drop of moral energy of this country caused by the bureaucratic deceleration "-a" that prevails in that country. c) Knowing that at the top of its intellectual capacity each person accumulated in average E = 1 000 units [energy], calculate equivalent of how many people dying every day in peak of their capacity would correspond to the daily drop of total moral energy of that country caused by that administrative deceleration "-a".
Solution of problem 4:
a) Let us begin with calculating the administrative deceleration "-a". Because both teams completed exactly the same matter, amounts of moral energy lost for it because of the administrative resistance should be the same for both teams. Thus the conversion of moral energy that occurred during the fixing these matters can be expressed with the following equation:

E1 -P1 =E2 -P2             (1JG10)

In this equation subsequent variables express as follows:
- Active (action) amount of moral energy E1 gained by the team 1 in the result of pushing forward their matter. According to equation (6JG3) this amount is equal to:

E1 = 1/2JE1v12

- Active amount of moral energy E2 gained by team 2 in the result of pushing forward their matter. According to equation (6JG3) this amount is equal to:

E2 = 1/2JE2v22

- Passive moral energy P1 dispersed by bureaucrats because of their resistance to fix the matter of team 1. According to equation (5JG3) it is equal to:

P1 = JE1aS

- Passive moral energy P2 dispersed by bureaucrats because of their resistance to fix the matter of team 2. According to equation (5JG3) it is equal to:

P2 = JE2aS

After substituting symbols in equation (1JG10) by values stated above, we receive that:
JE1aS - JE2aS = E1 = 1/2JE1v12  - E2 = 1/2JE2v22

This means that:
aS(JE1 - JE2) = 1/2(JE1v12  - JE2v22 )

because according to equation (2JG3): v = at, substituting it in the above equation we receive:

aS(JE1 - JE2) = 1/2a2(JE1t12 - JE2t22), or
a = 2S(JE1  - JE2)/(JE1t12 - JE2t22 ) Substituting in the above equations variables for values stated in this problem, we receive that:

a=2x13(10-4)/(10x32  -4x42 ),means
a = 2 x 13 x 6 / (90-64)
a = 6 [energy]/[displacement/mass] = 6 [acceleration].
b) Everyday drop of the amount of moral energy for the whole considered country, according to equation (5JG3) is equal to:
E' = maS = 35000000x6x1/7 = 30 000 000 [energy]/[day].
c) A daily drop E' of moral energy caused by the administrative deceleration of the considered country, corresponds to everyday death in this country of: n' = E'/(E/1[mass]) = 30000000/1000 = around 30 000 [mass]/[day] people being in the maximum of their intellectual potential. Remembering that approximately 1 [mass] = 1 [person], the above means, that effects of activities of bureaucrats of that country in their consequences are comparable to the effects of action of Hitler's concentration camps!

Problem 5. Somewhere in the space there is a hypothetical blue planet, the inhabitants of which decided to accept totalizm as their official governmental philosophy (something like an official philosophy of "dialectic materialism" adopted before by governments of communistic countries, or more strictly like an equivalent of official philosophical-religious system in the form of governmental religion that prevails in some countries on Earth). Thus the legal system of this planet was based on totaliztic mechanics. In the effect, all their criminal law decreased to a single principle which stated that "a person who committed an immoral act that decreases someone's moral energy, must in controlled conditions carry out a moral work from the category of inspiration or progress, that he/she selects to himself/herself, but which fulfils the following conditions: a) the total amount of feeling (sum of suffering) that this work generates must be equal at least to the amount of feeling (sum of suffering) that was caused by the immoral act committed previously; b) the external (i.e. not linked to the doer) increase of moral energy that is generated by this work must be directed towards the increase of moral energy of all victims of this immoral act - in case when one of these victims died before the balance was accomplished, then this increase would be directed towards orphans, disabled, ill, oldies, or people without families; c) returned must be at least the sum of the entire drop of moral energy lost by all victims of a given act." After the introduction of the above principle, the entire apparatus of justice on the blue planet boiled down to a group of experts that exactly measured the moral energy lost by victims of individual criminals, and to administration of a system of compensation institutions that criminals had to choose from, in order to work out the compensation for their immoral acts. Assuming that we are one of these experts employed in criminal system of that planet, consider a case of a rapist, who voluntarily declared to carry out in institutionally controlled conditions a work that induces suffering, while the outcomes of this work he declared to be passed to the victim of his crime. The raped person lost in the effect of his act E = 3652 units [energy] of her moral energy, with the level of suffering amounting to F = 2 [force] spreading over the period of 10 [years], after which period the effects of this rape were healed. In turn the criminal declared to create goods in the compensatory institution in a manner that generates the level of suffering F' = 1 [force], while at the normal efficiency of his work the velocity of producing this good amounted to v = 2 [velocity]. Calculate what period of time this criminal should spend voluntarily in the compensatory institution in order to pay back his crime.
Solution of problem 5: According to equation (6JG3), in compensatory institution the criminal is going to generate each day moral energy equal to: E' = 1/2mv2 = 2 x 1 x (2)2 = 2 [energy]. For returning the entire moral energy that was lost in the effect of his rape, he should spend in the compensatory institution at least t = E/E' = 1826 [days] = 5 [years]. Unfortunately, during this period the accumulation of his suffering is to amount to: ΣF' = m x F x t = 1 x 1 x 1826 [force]; while the accumulation of suffering by the victim amounted to: ΣF = m x F x t = 1 x 2 x 3652 = 7304 [force]. Because of this, the criminal expert that handles his punishment must inform him, that either he must increase the duration of staying in the compensatory institution to 20 years, or he must stay in there for 5 years, but must choose another work with the level of feeling (suffering) equal to F'=4 [force].


As an extension of this subsection it is worth to notice, that after we understand from the above examples the similarities that exist between totaliztic mechanics and classical mechanics, and after understanding the existence of a simple system of conversion which allow to translate from one of these mechanics into other (e.g. zwow = energy, feeling = force, responsibility = acceleration, motivation = displacement, etc.), the reader is able to find in textbooks of classical mechanics typical solutions to almost every problem of totaliztic mechanics that he/she may encounter in the everyday life. For this, it is sufficient that he/she translates a given problem into a language of classical mechanics (utilising the similarities of quantities of totaliztic mechanics and classical mechanics), and then seek in the existing literature how this particular problem is solved by classical mechanics. In turn after a solution is found in classical mechanics, it is sufficient to translate it into ideas and quantities of totaliztic mechanics.

Figure J3

Fig. J3. 

Small white creature with blue eyes and with an unique expression of happiness on the face - which is characteristic for people who live through a totaliztic nirvana. The above portrait was painted personally by Mrs. Daniela Giordano (co-author of treatise [7/2] "Pyramid of thoughts") on 30 March 2000. Thanks to the painting talent of Mrs. Giordano, this portrait managed to capture the subtle expression of happiness which spreads from the face of this creature, and which always characterizes people who are in the state of totaliztic nirvana. The portrait shows the appearance of a small male creature, which originates from a totalistic civilization that currently helps people from the Earth in their struggles to freedom from the secretive occupation by parasitic UFOnauts. This creature passed to Mrs. Giordano a precious gift for the entire humanity, in the form of a telepathic communication device (the pyramid), which the creature just holds in his hands, and which more comprehensively is described in treatise [7/2] “Pyramid of thoughts”, as well as in subsection KB3.5 /?/ of this monograph. Notice the shape and size of the head of this creature in comparison to proportions of the rest of his body, his small nose and chin, narrow mouth, and the lack of hair. Especially take notice of his expression of contentment and happiness which emanates from his face (in chapter JE of this monograph this unique state of permanent happiness accomplishable through moral living is called the “totalistic nirvana”). The portrait shows also the exact shape and relative size of the pyramid, as well as the manner this pyramid is held in hands of the creature. The reflections on the surface of this pyramid, as well as shadows and reflections from transparent walls, illustrate the impression which Mrs. Daniela Giordano had when watched the working pyramid. For more information on the subject of this totaliztic creature from stars, and on his pyramid, see treatise [7/2] "Pyramid of thoughts".

=> K.
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