B
Blue_Horizon
Guest
PR the oddness you mention was dealt to in my 2nd last year of Secondary School Science/Physics class…which is still the case in most western schools (I also teach school Physics classes).Well, this just seems odd to me.
If one tug-of-war team, say the hypothetical brawny women, pull the Don Knotts team into the mud, clearly, the efficient cause of the motion into the mud was the pull exerted on the rope by the brawny women. They “acted” on the rope and the opposing team. This is “work” for you according to your definition because displacement of a mass occurs AND that requires energy, obviously.
Now take the two perfectly matched teams. They are “acting” on each end of the rope and require the exertion of energy to pull on each end. The fact that the rope is not in motion does not make the actions on each end “no longer ‘acting.’”
Clearly, energy is being exerted at each end and the two teams are “acting” on the rope. The fact that no motion is observed does not nullify their actions nor does it reduce energy exertion to zero merely because no movement is observed.
It might even be said that the action of keeping the rope taut over the mud hole is enabled (actualized) by the balance of two equal but opposing efficient causes.
Displacement of masses, in this case, is not required for the two teams to be “working” against each other. Clearly they are both working very hard, exerting energy and as a result are maintaining the tension because they are acting as efficient causes in balance at each end of the rope.
I can see you do not have a clear understandingof the subtle relationships between force, displacement and energy transfer (work) .
The world is very non intuitive in this area so I understand your difficulties.
Unfortunately life is short and I do not have the time to untangle your newtonian difficulties here sorry.
In short the exertion you speak of is real but the energy is not being transferred into the rope but remains in the athletes trying to keep their muscles as tense as the rope. A very inefficient transfer of energy which therefore makes them doubly hot as the work is done wholly in muscle tissue and no further energy gets transferred into the rope.
The force situation is no different from a rope hanging from a pulley with 1 tonne weights balanced either side.
The weights do their thing effortlessly but humans must expend muscle energy to produce similar static tension in a rope.