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Potential Energy

Potential Energy



When work is done on an object to change its position, this work is stored in the system (between particles that are bound by certain types of forces) in the form of energy called potential energy.

Potential Energy: The energy that an object possesses as a result of its position or state.

Examples of Potential Energy:



1 - Potential energy stored in a taut or compressed spring coil (elastic potential energy):
Contraction or Elongation of a Spring Its molecules gain a new position thus storing elastic potential energy. Then the spring does work until it gets rid of this energy in order to return to its resting position. The more a spring is compressed or stretched away from its equilibrium point, the greater the potential energy stored in the system. The stretched or compressed spring has stored potential energy



2 - Potential energy stored in a taut rubber string (elastic potential energy):
Elongation of a Rubber String: Its molecules gain a new position and thus store elastic potential energy. Therefore, the taut rubber string moves when the force acting on it is removed until it gets rid of this energy in order to return to its resting position.



3 - Potential energy stored in an object lifted from the Earth's surface (gravitational potential energy):
Gravitational potential energy is related to the position of objects relative to the Earth's surface relative to the gravitational field.



4- Potential energy stored in the electrons inside the battery(Chemical potential energy):
Electrons move when the battery is connected and the circuit is closed.

When a body of mass m is lifted a vertical distance h above the surface of the Earth, the work done W is determined from this equation: $${W=Fh}$$

where F is the force needed to lift the body upwards against gravity and is equal to its weight w:

The work done is stored inside the body as potential energy:

*In the opposite figure, the work done to lift a body of mass m from position A to position B is:

$${W=mgh - mgh
W=mg(h-h)=mg𝛥h
W=𝛥(PH)}$$


Life Applications:



• When a box weighing 450N is lifted vertically upwards by a distance of 1m

The work done is: $${W=wh=450×1=450J}$$

This requires a force equal to the weight of the box: $${F=\frac{W}{d}=\frac{450}{1}=450N}$$

• And when the same box is lifted vertically upwards by a distance of 1m using an inclined plane of length 3m

The work done is:$${W=wh=450×1=450J}$$

This requires less force than the weight of the box, but it will require a greater displacement: $${F=\frac{W}{d}=\frac{450}{3}=150N}$$




Potential energy is stored within any system when an external force performs work against the system's natural conservative force.

Examples:

When a ball is thrown upward, work is done against the natural gravitational force (which pulls objects toward the center of the Earth). Consequently, kinetic energy is converted into potential energy stored within the gravitational field (the system). The ball's initial kinetic energy is gradually and completely transformed into potential energy stored in the field at its maximum height. Thereafter, the field releases this stored potential energy, converting it back into kinetic energy so that the system returns to its lower-energy, most stable state.



When charging a Daniell cell using an external power source, electrical work is performed against the natural direction of the electrochemical reaction. The external electromotive force forces electrons to flow opposite to their spontaneous path—from the copper electrode to the zinc electrode. Consequently, electrical energy is converted into chemical potential energy stored within the electrochemical system: copper atoms oxidize into ions dissolved in solution, while zinc ions gain electrons and deposit as metallic atoms.

Simultaneously, ions within the salt bridge are forced to migrate opposite to their natural direction to maintain electrical neutrality in both solutions (anions migrate toward the copper half-cell, while cations move toward the zinc half-cell). Thus, the electrical energy from the external source is gradually and completely transformed into chemical potential energy stored in the cell at its maximum voltage or charge capacity. Subsequently (during usage and discharge), the system releases this stored chemical potential energy, converting it back into electrical energy (electron movement and reverse ion flow in the salt bridge), allowing the system to return to its lowest-energy, most stable chemical state.


محاكاة خلية دانيال - طاقة الوضع والكهروكيمياء
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محاكاة خلية دانيال التفاعلية

✨ المفهوم الفيزيائي المستهدف

طاقة الوضع تُخزن عند بذل شغل خارجي معاكس للقوة الطبيعية المحافظة

«طاقة الوضع تُخزن في أي نظام عندما تُبذل قوة أو طاقة خارجية (شغل) عكس اتجاه القوة الطبيعية المحافظة لهذا النظام.» أثناء التفريغ، يحدث التفاعل التلقائي وتتحرر الطاقة. أثناء الشحن، نبذل شغلاً خارجياً لعكس التفاعل وإعادة تخزين الطاقة الكيميائية.

دليل الجسيمات المتحركة:
e⁻ (إلكترونات)
Zn²⁺ (خارصين)
Cu²⁺ (نحاس)
K⁺ (كاتيون)
NO₃⁻ (أنيون)
السرعة:
مستوى الشحن / تقدم التفاعل (State of Charge): 85%
0% (مفرغ بالكامل) 50% (الحالة المعيارية) 100% (مشحون بالكامل)

💡 «الشحن لا يجعل التفاعل التلقائي يستمر؛ بل يستخدم طاقة خارجية لعكسه وتخزين الطاقة في النظام.»

طاقة الوضع الكيميائية المخزنة في الخلية:
مخطط إحداثيات طاقة الوضع الحرة (Gibbs Potential):
طاقة الوضع E_p مسار التفاعل → Zn(s) + Cu²⁺(aq) (طاقة وضع عالية - مشحون) Zn²⁺(aq) + Cu(s) (طاقة وضع منخفضة - مفرغ) ΔG° = -212 kJ/mol

⚖️ المقارنة الفيزيائية: طاقة الوضع الثقالية مقابل طاقة الوضع الكيميائية

1. الرفع ضد الجاذبية (ميكانيكي):

عند رفع كتلة لأعلى، تبذل قوة خارجية شغلاً ضد الجاذبية فيُخزن كطاقة وضع ثقالية (mgh). عند تركها تسقط تلقائياً محررة الطاقة.

2. شحن الخلية (كهروكيميائي):

مصدر الطاقة الخارجي يبذل شغلاً لإجبار الإلكترونات على الذهاب لقطب الزنك وعكس التأكسد التلقائي، مخزناً طاقة وضع كيميائية تُسترد عند التفريغ.

محاكاة خلية دانيال الكهروكيميائية المستقلة · Standalone Daniell Cell Simulation (HTML + CSS + JS)