الفرق بين الكتلة، الحجم والكثافة [أنيميشن]

EduGraphic - إديوجرافيك
20 Feb 202306:55

Summary

TLDRThis educational video script delves into the fundamental concepts of volume, mass, and density in a practical and engaging manner. It uses the example of a cube-shaped container to explain volume as the space occupied, measured in cubic meters. The script clarifies the difference between mass, measured in kilograms, and weight, which will be discussed in a subsequent video. It further illustrates the concept of density as mass per unit volume, using water as an example to show that density is a characteristic property of a substance, remaining constant under normal conditions. The explanation is aimed at ensuring a clear understanding without the need for memorization, encouraging viewers to subscribe for more educational content.

Takeaways

  • 📏 The script discusses the concept of 'volume', explaining it as the space an object occupies, measured in cubic meters (m³).
  • 📐 'Density' is introduced as a property of matter, which is mass per unit volume, and is measured in kilograms per cubic meter (kg/m³).
  • 🧊 An example is given using a cube with dimensions of one meter each to illustrate the calculation of volume as length x width x height.
  • 📊 The difference between 'mass' and 'weight' is hinted to be explained in a future video, indicating a distinction between the two concepts.
  • 🏙️ The script uses the example of population density to explain the concept of density in a relatable way, dividing the number of people by the area they occupy.
  • 🔢 The calculation of the density of water is demonstrated, showing that one cubic meter of water has a mass of 1000 kg, hence a density of 1000 kg/m³.
  • 🌊 The script clarifies that density is a characteristic property of a substance, meaning it remains constant under normal conditions, regardless of the amount of the substance.
  • 📘 It is emphasized that density is a distinguishing feature of a material, with the example that water's density remains 1000 kg/m³ whether in a small or large container.
  • 📚 The academic definitions of 'volume', 'mass', and 'density' are provided towards the end of the script, summarizing the concepts in a more formal way.
  • 📈 The script encourages viewers to subscribe to the channel for more educational content and to like the video to support the content creator.
  • 🗣️ The presenter uses conversational language and relatable examples to make the scientific concepts more accessible and easier to understand.

Q & A

  • What is the primary topic discussed in the video script?

    -The primary topic discussed in the video script is the concept of volume, mass, and density in physics, using the example of a cube to explain these concepts.

  • What is the formula for calculating the volume of a cube?

    -The formula for calculating the volume of a cube is length × width × height, which results in cubic meters (m³) if all measurements are in meters.

  • How is the area of a square related to the volume of a cube?

    -The area of a square (length × width) is related to the volume of a cube by multiplying the square's area by the cube's height to get the volume in cubic meters.

  • What is mass in the context of the video script?

    -In the context of the video script, mass refers to the amount of matter contained in an object, typically measured in kilograms (kg).

  • How is the mass of water in a cube calculated in the video script example?

    -The mass of water in the cube is calculated by taking the volume of the cube (1 cubic meter) and multiplying it by the density of water (1000 kg/m³), resulting in a mass of 1000 kg.

  • What is the difference between mass and weight as mentioned in the video script?

    -The video script mentions that there will be a separate video explaining the difference between mass and weight, but it does not provide details in this script.

  • What is the concept of population density discussed in the video script?

    -Population density is the concept of how many people are in a given area, measured in people per square meter. The video script uses an example of 20 people in a 20 square meter area to explain this concept.

  • How is the density of a substance calculated in the video script?

    -The density of a substance is calculated by dividing the mass of the substance by its volume, resulting in kilograms per cubic meter (kg/m³).

  • What is a characteristic property of a substance according to the video script?

    -A characteristic property of a substance, according to the video script, is its density, which remains constant under normal circumstances and is a unique identifier for the substance.

  • How does the video script explain the concept of density in relation to the example of water and a brick?

    -The video script explains that the density of water is 1000 kg/m³, and if water is placed in a cube with a volume of 1 cubic meter, its mass would be 1000 kg. In contrast, a brick with a volume of 0.5 cubic meters would have a mass of 6800 kg, showing that density is a characteristic property that does not change under normal conditions.

  • What is the importance of understanding the concepts of volume, mass, and density as discussed in the video script?

    -Understanding the concepts of volume, mass, and density is important as they are fundamental to physics and help in comprehending how space is occupied by objects and how much matter they contain, which is crucial for various scientific calculations and real-world applications.

Outlines

00:00

📐 Understanding Volume and Density

This paragraph introduces the concept of volume, mass, and density using an example of a cube with dimensions of one meter each. It explains how volume is measured in cubic meters and how mass is calculated by filling the cube with a substance, such as water, and weighing it. The paragraph clarifies the difference between volume, which occupies space, and mass, which is the amount of substance. It also touches on the concept of density, which is the mass per unit volume, and how it is a characteristic property of a material that does not change under normal conditions.

05:01

📚 Academic Definitions of Volume, Mass, and Density

The second paragraph delves into the academic definitions of the three terms discussed earlier. It defines volume as the space occupied by an object, measured in cubic meters, and mass as the amount of matter in an object, typically measured in kilograms. Density is then described as a characteristic property of materials, measured in kilograms per cubic meter, which remains constant regardless of the object's size or shape. The paragraph emphasizes the importance of understanding these concepts rather than just memorizing definitions and encourages viewers to subscribe to the channel for more educational content.

Mindmap

Keywords

💡Volume

Volume refers to the amount of space an object occupies. In the video, it is defined as a measure of the space an object takes up in the surrounding void, quantified in cubic meters. The example of a cube with one-meter sides illustrates this concept, where the volume is calculated as one cubic meter, demonstrating the theme of understanding physical quantities.

💡Density

Density is the mass per unit volume of a substance, a characteristic property that does not change under normal conditions. The video explains it as the mass of the material divided by its volume, expressed in kilograms per cubic meter. The example of water, which has a density of 1000 kilograms per cubic meter, clarifies this concept and its importance in identifying the material's unique property.

💡Mass

Mass is the measure of the amount of matter in an object, commonly quantified in kilograms. The video script uses the example of a cube filled with water, where the mass is calculated by subtracting 40 kilograms (the weight of the empty cube) from 1040 kilograms (the total weight when filled with water), showing how mass is related to the theme of physical properties.

💡Surface Area

Surface area is the total area that the surface of an object occupies. In the video, it is mentioned in the context of a square meter, which is the area of a square with each side measuring one meter. The concept is related to the theme by explaining how two-dimensional areas contribute to understanding three-dimensional objects, like the surface of the cube.

💡Physical Quantities

Physical quantities are measurable properties of matter and energy, such as length, mass, time, and charge. The video emphasizes the importance of understanding these quantities to describe the physical world accurately. The script uses examples like volume and density to illustrate the concept and its relevance to the video's educational message.

💡Cube

A cube is a three-dimensional shape with six equal square faces. The video uses a cube as an example to explain the concepts of volume and surface area, showing how the cube's dimensions (one meter per side) can be multiplied to find its volume and the area of one of its faces to determine the surface area.

💡Kilogram

The kilogram is the base unit of mass in the International System of Units (SI). The video script frequently refers to the kilogram to quantify mass, such as the mass of water in a cube and the density of various materials, emphasizing its role in measuring physical quantities.

💡Cubic Meter

A cubic meter is a unit of volume that represents the space occupied by a cube with sides of one meter in length. The video explains how to calculate the volume of a cube in cubic meters and uses this unit to discuss the density of substances, tying it to the main theme of understanding space and matter.

💡Population Density

Population density is the number of people living in a particular area divided by the size of that area. The video script mentions it in the context of Cairo's high population density, using it as an analogy to explain the concept of density in a different context, thus connecting the idea of density to both physical substances and human populations.

💡Material

In the context of the video, material refers to the substance of which an object is made. The video discusses the mass and density of materials, such as water and iron, to illustrate how these physical properties are intrinsic to the material itself and can be used to identify and understand it.

💡Substance

Substance is a type of matter with a specific composition that has characteristic properties. The video script explains that the density of a substance is a unique property that remains constant regardless of the amount, using water and iron as examples to show how substances can be distinguished by their densities.

Highlights

Introduction to the concept of volume as the space occupied by an object, measured in cubic meters.

Explanation of volume calculation using the example of a cube with one-meter sides.

Differentiation between volume as space occupied and area representing a flat surface.

Introduction to mass as the amount of matter in an object, measured in kilograms.

Calculation of mass using the example of water in a cube, with the mass of one cubic meter of water being 1000 kilograms.

Clarification of the difference between mass, weight, and density, with a promise to elaborate in a future video.

Explanation of density as a characteristic property of a substance, measured in kilograms per cubic meter.

Demonstration of how to calculate the density of water using its mass and volume.

Discussion on the concept of population density, using an example with a room and people.

Illustration of how to calculate the area per person in a room to understand the concept of density.

Introduction of the concept that density is a unique property of a substance that does not change under normal conditions.

Explanation of how the density of water remains constant regardless of its volume in different containers.

Introduction to the academic definitions of volume, mass, and density.

Description of volume as the amount of space an object occupies, measured in cubic meters.

Definition of mass as the amount of matter in a body, measured in kilograms.

Definition of density as a characteristic property of bodies, measured in kilograms per cubic meter.

Emphasis on the importance of understanding the concepts before memorizing academic definitions.

Encouragement for viewers to subscribe to the channel for more educational content.

Transcripts

play00:00

سلام عليكم طبعا كلنا عارفين ان اي حاجه

play00:02

حوالينا تعتبر مواد وعلشان نعبر عن الماده

play00:05

دي بنستخدم كميات فيزيائيه زي الكتله

play00:08

والحجم والكثافه انا عارف انا عارف ان انت

play00:11

بتتلخبط بينهم ولكن بعد الفيديو ده ان شاء

play00:13

الله اوعدك ان انت مش هتنساهم تاني لاننا

play00:15

مش هنقول لك شرح اكاديمي او هنقول لك

play00:17

التعريفات وخلاص لا احنا هنقول كل حاجه

play00:19

بالانيميشن وبامثله علشان تثبت اكتر زي

play00:22

طبعا ما متعود مننا اتاكد انك هتشوف

play00:24

الفيديو للاخر علشان توصل لك الاستفاده

play00:26

الكامله وما تنساش تعمل اشتراك في القناه

play00:28

علشان توصل لك كل فيديوهاتنا اللي جايه

play00:35

خلونا نبدا على طول بمثال عملي واول حاجه

play00:37

هنتكلم عليها هي الحجم

play00:42

تخيل انك عندك اناء ازاز طوله متر وعرضه

play00:45

متر وارتفاعه كمان متر لو عايزين نحسب

play00:47

حجمه هيكون متر في متر في متر اللي هو متر

play00:51

مكعب واخد بالك ان احنا قلنا متر مكعب

play00:53

بالزبط هو ده التمييز الحجم هو بيشغل حيز

play00:57

في الفراغ هو عباره عن مساحه مسطحه لها

play00:59

ارتفاع يعني مثلا الاناء ده هو عباره عن

play01:02

ايه عباره عن مساحه مسطحه اللي هو المربع

play01:05

متر في متر طيب ده تمييزه ايه ايوه بالظبط

play01:09

هو متر مربع طيب هل هو دلوقتي ليه حيز في

play01:12

الفراغ لا طبعا هو مجرد خطوط وهميه بتعبر

play01:16

عن شكل المربع بس طب ايه رايك لو خلينا

play01:18

الارتفاع علشان يشغل حيز من الفراغ حلو لو

play01:22

جينا عملنا له ارتفاع مقداره واحد متر

play01:24

وضربنا مساحه المربع في الارتفاع ده اللي

play01:27

هو متر مربع في متر كمان هيدينا متر مكعب

play01:31

وهو ده الحجم طبعا تقدر تطبق ده على كل

play01:34

حاجه اي حجم فهو بيشغل حيز من الفراغ

play01:37

دلوقتي هنتكلم عن الكتله انا عارف انك

play01:39

عارف اني عارف انك عارفها ولكن دي هتساعد

play01:42

كتير قوي ان احنا نفهم معنى الكثافه

play01:47

لسه عندنا الاناء الفاضي ده صح ايه رايك

play01:50

لو مليناها ميه على الاخر يلا نعرف كتله

play01:52

الاناء ده فلنعتبر ان الاناء فاضي كتلته

play01:55

40 كلغ لو جينا نعرف كتله الاناء بالميه

play01:58

اللي فيه تحت الظروف المثاليه هيطلع 1040

play02:01

كيلو جرام كده نقدر نحسب كتله الميه بكل

play02:03

سهوله هتكون 1040 ناقص اربعين اللي هي

play02:07

كتله الاناء هتساوي الف كيلو جرام كده

play02:10

عرفنا ان كتله واحد متر مكعب من الميه هو

play02:12

الف كيلو جرام وحلو برضو ان انت عارف ان

play02:15

الكتله اصلا بتتقاس بالكيلو جرام فخلينا

play02:17

دلوقتي نعرف عن الكثافه بس قبل ما نبدا في

play02:20

الكثافه انا عارف ان انت عايز تعرف الفرق

play02:22

بين الكتله وبين الوزن وده ان شاء الله

play02:24

هيكون في الفيديو اللي بعد ده على طول

play02:25

وكمان ممكن تدور في القناه ممكن نكون

play02:27

عملنا الفيديو ده او ممكن تلاقيه في الاي

play02:29

هنا او هنا مش عارف الحقيقه ولكن عامه دور

play02:32

في القناه وهتلاقيه ان شاء الله

play02:36

بتسمع انت في نشره الاخبار يقول لك ان

play02:39

القاهره فيها كثافه سكانيه عاليه قوي هل

play02:41

سالت نفسك يعني ايه الكلام ده هبسطها لك

play02:43

لو انت في اوضه لوحدك زي انا دلوقتي كده

play02:45

هل زيها زي ما هيكون معك خمسه او يكون معك

play02:48

عشرين عشره عشره طب لو اعتبرنا ان الغرفه

play02:51

دي عشرين متر مربع ها خلي بالك مربع مش

play02:55

مكعب انا بتكلم على مساحه وفي عشرين شخص

play02:58

في الاوضه يبقى كل شخص له كم متر مربع

play03:00

هتعمل ايه اكيد هتقسم عدد الاشخاص على

play03:04

مساحه الغرفه خلي بالك ان انت هنا قسمت

play03:06

هيطلع لكل شخص واحد متر مربع يعني في

play03:10

الكثافه بنقسم بس طبعا حاجه اسمها كثافه

play03:12

سكانيه ومش موضوعنا انا بس بفهمك مفهوم

play03:15

الكلمه مفهوم كلمه الكثافه يعني خلونا

play03:17

دلوقتي نرجع لمثال الاناء والميه احنا

play03:20

دلوقتي عارفين حجم الاناء ده واحد متر

play03:22

مكعب وعارفين كتله الميه اللي جواه هي الف

play03:25

كيلو جرام دلوقتي عايزين نعرف كثافه الميه

play03:28

بالضبط كده هتعمل نفس الحاجه يعني هتقسم

play03:31

كتله الميه على الحجم بتاعها الف كيلو

play03:34

جرام على واحد متر مكعب هيدي لنا 1,000

play03:36

كيلو على المتر المكعب كده دلوقتي واضح

play03:39

جدا ان الكثافه بتساوي الكتله على الحجم

play03:42

وطبيعي جدا تقدر تستنتج التمييز الكتله

play03:44

تمييزها كيلو جرام والحجم تمييزه متر مكعب

play03:47

يبقى الكثافه تمييزها كيلو جرام على المتر

play03:50

المكعب او بمعنى اخر تقدر تقيسها بالشكل

play03:52

ده تقول ان كثافه الماده دي كذا كيلو جرام

play03:55

على المتر المكعب او كثافه الماده دي كذا

play03:57

الف كيلو جرام على المتر مكعب طيب لو جبنا

play04:00

زئبق وملينا الاناء ده به ايوه هي الماده

play04:02

اللي انت ما تعرفهاش هي دي اصلا سائل ولا

play04:04

صلب هتكون عارف ان كثافتها 13600 كيلو

play04:08

جرام على المتر مكعب تخيل اصلا الزئبق ده

play04:10

سائل يعتبر كثافته اعلى من كثافه الحديد

play04:12

ما علينا لو جيت مليت الاناء ده بس هنعتبر

play04:15

ان الاناء ساعتها بقى نص متر مكعب يعني

play04:18

حجمه بقى نص متر مكعب بس هتحسبها ازاي

play04:20

سهله بما ان الكثافه بتساوي الكتله على

play04:23

الحجم اذا الكتله اللي هي بالكيلو جرام

play04:25

هتساوي الكثافه اللي هي بالكيلو جرام على

play04:28

متر مكعب في الحجم اللي هو بالمتر المكعب

play04:30

المتر المكعب هيروح مع المتر المكعب

play04:33

وهيتبقى الكيلو جرام خلي بالك انا بوضحلك

play04:36

بالطريقه دي علشان ما تحفظش كل حاجه تقدر

play04:38

تستنتجها يبقى الحجم اللي هو نص متر مكعب

play04:41

في الكثافه اللي هي 13,600 كيلو جرام على

play04:44

المتر المكعب هيدي لنا 6800 كيلو جرام

play04:48

اخيرا محتاجك تعرف ان الكثافه دي هي حاجه

play04:51

مميزه للماده يعني ايه يعني الكثافه

play04:53

للماده الواحده مش بتتغير تحت الظروف

play04:55

العاديه نهائيا بتتغير في حالات مختلفه

play04:58

ممكن نتكلم عليها بعد كده ولكن اللي عايزك

play05:00

تعرفه ان كثافه الماده ثابته اهو انت مثلا

play05:03

شفت ان كثافه الميه هي الف كيلو جرام

play05:05

للمتر المكعب ولكن لو جبت الميه وحطتها في

play05:08

اناء الحجم بتاعه متر مكعب فهيكون كتله

play05:12

الاناء ده هي 1000 كيلو جرام ولكن لو جبت

play05:14

الميه وحطيتها في اناء حجمه نص متر مكعب

play05:16

فكتلتها هتكون 500 ولكن في الاول وفي

play05:19

الاخر كثافتها هي الف كيلو جرام على المتر

play05:21

المكعب وهو ده معنى ان الكثافه صفه مميزه

play05:24

للماده طيب هل كده فهمنا خلاص طيب دلوقتي

play05:27

يلا نشوف التعريفات الاكاديميه للتلات

play05:29

مصطلحات ايوه اللي احنا ما بنعرفش نحفظها

play05:31

دي

play05:32

ولكن بعد ما فهمناها اولا الحجم هو مقدار

play05:36

الحيز الذي يشغله الجسم من الفراغ المحيط

play05:38

به ويقاس بوحده المتر المكعب طبيعي جدا

play05:41

لان احنا في المثال بتاعنا قلنا ان الاناء

play05:43

له ارتفاع فبالتالي بيشغل حيز من الفراغ

play05:46

موجود في مكان معين وهنقيسه بالمتر المكعب

play05:49

لانه ناتج ضرب ثلاث اطوال او مساحه في

play05:52

ارتفاع يبقى طبيعي ان الاس بتاعه يكون

play05:55

تلاته او تكعيب يبقى متر مكعب

play05:57

ثانيا الكتله هي مقدار الماده الموجوده في

play06:01

الجسم وكلما احتوى الجسم على ماده اكبر

play06:03

كلما زادت كتلته وتقدر بالكيلو جرام اظن

play06:07

طبعا دي مش محتاجه سهله خالص ثالثا

play06:10

الكثافه هي الصفات المميزه للاجسام وهي

play06:12

كتله وحده الحجوم من الماده وتقاس بالكيلو

play06:15

جرام لكل متر مكعب قلنا ان الماده الواحده

play06:18

كثافتها ثابته لذلك تعتبر صفه مميزه

play06:21

للماده وتقدر تقيسها بالكيلو جرام لكل متر

play06:24

مكعب لان هي ناتج قسمتهم ناتج قسمه الكتله

play06:26

على الحجم شفت بقى انك كنت مكبر الموضوع

play06:29

وطلع سهل قوي ما تنساش بقى تبعت الفيديو

play06:31

ده حد بيتلخبط زيك شكرا انك وصلت لحد هنا

play06:34

ما تنساش تعمل اشتراك في القناه علشان

play06:36

توصل لك كل الفيديوهات اللي جايه وتعمل

play06:38

لايك لان ده بيساعد في دعم المحتوى ده

play06:40

شكرا لك واشوفك الفيديو الجاي ان شاء الله

play06:42

سلام عليكم

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