向量下的WORK

2014-09-28 9:34 pm
在向量下, W=Fs, 一物由A點到B點再折返A點時, 向量和=0, 令F=0 &W=0, 明明運動了, 為何說作功為0?
更新1:

In your example, although the net work done is 0, the person is still tired. If the action is not done, the net work done is also 0, but the person is not tired. Should this be explained by thermodynamics?

更新2:

In your example, the object is always on your hand. The hand exert energy first and gain energy. The net work of the hand done is zero. But, in fact, the person loses energy. For example, he must be tired after the same action 10000 times. But the net work of the hand done is still zero.

更新3:

Should this be explained by thermodynamics? I mean. 所以我問"明明運動了, 為何說作功為0"。

更新4:

I know the purpose of your use of "human hand" in the example. My supplemented question at 2014-09-28 19:52:57 has shifted the focus a bit. Can physiological processes be explained by thermodynamics? I mean.

更新5:

I know you want to say the conservation of energy.

更新6:

Why cannot metabolic, physiological and chemical processes be explained by thermodynamics? Metabolic, physiological and chemical processes can be measured in calories. Thank you for your detailed explanation.

更新7:

OK, I replace "feeling tired" with "consumption of energy" in the human case.

更新8:

Metabolism is a chemical process and can be measured in calories. A person at rest consumes less calories, right?

回答 (1)

2014-09-28 10:38 pm
✔ 最佳答案
What you said is not generally true. The net work done equals zero for a closed path is only applicable for conservative force (e.g. gravitational force or elastic force on a spring).

For non-conservative force (e.g. friction), the net work done will not be zero.



2014-09-28 15:14:08 補充:
For conservative force, take gravitation as an example, when you raise an object from the floor with your hand, you are doing work.
But when the object falls back onto the floor (with the object still on your hand), work IS BEING DONE onto your hand....

2014-09-28 15:16:28 補充:
(cont'd)...That is, your hand absorbs energy from the falling object. Therefore, after a complete path (from the floor to a certain height and then back to the floor), there is no gain or loss of energy. The net work done is thus zero.

2014-09-30 16:34:18 補充:
Your suppl question:
Feeling "tired" is NOT a physical phenomenon. The use of "human hand" in the example is just for its easy understanding. Human activities indeed involve many physiological processes.

2014-09-30 16:39:06 補充:
(cont'd)...The main point that I want to bring out in the example is that raising an object needs the exertion of a force, whereas lowering the object down is being driven by a force (i.e. gravity). The work done in the two processes thus cancel each other out.

2014-10-02 11:08:18 補充:
Your further question:
I have said above that the use of "human hand" in the example is just for easy understanding of the physical phenomenon. In fact, the work-done equals zero after a closed path refers to a "physical system".

2014-10-02 11:11:59 補充:
(cont'd)...
As said, human activities involve many physiological processes. It is clearly NOT a pure "physical system". A person stands still for hours or even at rest still consumes energy.

2014-10-02 11:21:22 補充:
You may also think of an example that the object is raised by an electric motor. When the object rises, the motor exerts a force and does work. When the objects falls, a force acts on the motor and drives it,i.e. the motor absorbs energy from the falling object.

2014-10-02 11:28:22 補充:
continue on 意見 column...

2014-10-02 11:33:19 補充:
In terms of energy(work done), electricity is consumed by the motor when raising the object. But same amount of electricity is produced by the motor(which acts as a generator) when the object falls. There is no net gain or loss of energy in a complete cycle.

2014-10-02 11:36:54 補充:
Your further question:
Thermodynamics alone cannot explain human activity which involves many metabolic, physiological and chemical processes/reactions inside the human body. The human body comsumes energy even when in complete rest.

2014-10-03 23:30:41 補充:
I have already given the main points in my previous answer. The "work done" in your question is a term used in physics. But you seem to have mixed it with another non-physical intperpretation of "feeling tired".

2014-10-03 23:32:19 補充:
(cont'd)...The net work-done equals zero for a closed path applies only to conservative force in a physical system.

2014-10-05 14:38:01 補充:
I think you are still confused with human metabolism with mechanical work done in physics.
The human body comsumes energy at all times, even at complete rest. But this is not the "work-done" defined in physics. Hence, you cannot say a person is doing physical work when he sleeps.

2014-10-07 19:38:41 補充:
Be aware that human metabolism is not the type of work-done mentioned in your question, as it involves no conservative force.


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