Hukum Gravitasi Umum Newton | Materi Fisika Kelas 10

Zenius - Video Belajar
12 Jan 202305:55

Summary

TLDRThis educational video script delves into the concept of gravity, explaining its everyday significance and historical discovery by Newton. It explores how gravity is the force that keeps objects grounded and contrasts the fall of an apple with the non-fall of stars towards Earth due to their vast distances. The script simplifies complex gravitational concepts by comparing the gravitational pull between an apple and the Earth versus that between the Earth and the Moon. It introduces Newton's law of universal gravitation, expressed as F = G (m1 * m2) / r^2, where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the objects, and r is the distance between their centers. The script aims to clarify that gravity is directly proportional to mass and inversely proportional to the square of the distance between objects.

Takeaways

  • 🌍 Gravity is the force that keeps objects on the Earth's surface.
  • 🍎 Newton's apple story is a common tale about the discovery of gravity, although it's not entirely accurate.
  • 🧐 Newton pondered why an apple falls to the Earth but stars don't, leading to his theory of gravitation.
  • 🔍 The gravitational force between two objects is inversely proportional to the square of the distance between them.
  • 📏 The force of gravity decreases as the distance between objects increases.
  • 🌌 Even though stars exert a gravitational pull on Earth, it's very weak due to the vast distance.
  • 🍏 If an apple is thrown, it will be attracted to the Earth due to the greater mass of the Earth compared to a human.
  • 📚 Newton concluded that the gravitational force is directly proportional to the product of the masses of the interacting objects.
  • 🔢 The full equation for gravitational force is F = G × (M1 × M2) / r², where G is the gravitational constant.
  • 🌕 An example calculation in the script involves the gravitational force between the Earth and the Moon, using the given formula.
  • ⚖️ The gravitational constant (G) was discovered by Henry Cavendish and has a value of 6.67 × 10⁻¹¹ N(m/kg)².

Q & A

  • What is the primary force that keeps objects on the surface of the Earth?

    -Objects remain on the surface of the Earth due to the force of gravity.

  • Who is credited with the initial concept of gravity as described in the script?

    -Sir Isaac Newton is credited with the initial concept of gravity, as he pondered why an apple falls to the Earth but stars do not.

  • What is the relationship between the gravitational force and the distance between two objects according to Newton's observations?

    -Newton observed that the gravitational force between two objects is inversely proportional to the square of the distance between them.

  • How does the mass of objects influence the gravitational force between them?

    -The gravitational force is directly proportional to the product of the masses of the two interacting objects; the larger the masses, the greater the gravitational force.

  • What is the formula for calculating the gravitational force according to the script?

    -The formula for calculating the gravitational force is F = G * (M1 * M2) / r^2, where F is the force, G is the gravitational constant, M1 and M2 are the masses of the two objects, and r is the distance between them.

  • What is the value of the gravitational constant (G) as mentioned in the script?

    -The value of the gravitational constant (G) is 6.67 x 10^-11 N(m^2/kg^2).

  • Why does an apple fall towards the Earth rather than towards a person standing at the same distance?

    -An apple falls towards the Earth due to the much larger mass of the Earth compared to a person, resulting in a stronger gravitational pull.

  • What is the difference between gravitational force and gravitational acceleration?

    -Gravitational force is the force of attraction between two masses, while gravitational acceleration is the acceleration experienced by an object due to the gravitational force, typically 9.8 m/s² or 10 m/s².

  • How is the gravitational force between the Earth and the Moon calculated?

    -The gravitational force between the Earth and the Moon is calculated using the formula F = G * (M1 * M2) / r^2, where M1 is the mass of the Earth, M2 is the mass of the Moon, and r is the distance between the centers of the Earth and the Moon.

  • Why is it important to consider the radius of the Earth when calculating gravitational force for objects on its surface?

    -When calculating the gravitational force for objects on the Earth's surface, it's important to consider the Earth's radius because the force must be calculated from the center of the Earth to the object, not just the distance from the surface.

Outlines

00:00

🌍 Understanding Gravity

This paragraph introduces the concept of gravity using everyday examples, such as why objects remain on the Earth's surface. It discusses the famous story of Newton and the falling apple, which led him to ponder the force of gravity. The paragraph explains that gravity is not just about objects falling towards the Earth but also about the interaction between objects in space. It delves into Newton's law of universal gravitation, which states that the force of gravity is inversely proportional to the square of the distance between two objects and directly proportional to the product of their masses. The constant of universal gravitation (G) is introduced, with a value of 6.67 x 10^-11 N(m/kg)². The paragraph also touches on the idea that the gravitational force between the Earth and the Moon can be calculated using this law, taking into account the masses of the Earth and the Moon and the distance between their centers.

05:02

📉 Gravitational Acceleration

The second paragraph focuses on the concept of gravitational acceleration, which is the acceleration imparted to objects due to gravity. It clarifies the difference between gravitational force and gravitational acceleration, noting that the latter is commonly measured as 9.8 m/s² or 10 m/s². The paragraph summarizes the discussion on gravity from the previous section and sets the stage for further exploration of gravitational fields in upcoming videos. It concludes with a teaser for the next video, promising more information on the topic.

Mindmap

Keywords

💡Gravity

Gravity is the force that attracts two objects with mass towards each other. In the video, gravity is the central theme, as it explains how objects like apples fall to the Earth and how the Earth and the Moon are attracted to each other. The script uses gravity to illustrate Newton's law of universal gravitation, which states that every point mass attracts every other point mass by a force acting along the line intersecting both points.

💡Newton

Sir Isaac Newton is a pivotal figure in the history of physics, known for his laws of motion and universal gravitation. The video script references Newton's contemplation on why an apple falls to the Earth but stars do not, leading to his formulation of the law of universal gravitation. Newton's work is foundational to understanding the concept of gravity as discussed in the video.

💡Mass

Mass is a measure of the amount of matter in an object and is intrinsically related to the force of gravity. The video explains that the force of gravity between two objects is directly proportional to the product of their masses, as seen in Newton's law of universal gravitation. The script uses the Earth and the Moon as examples to demonstrate how their masses influence the gravitational force between them.

💡Distance

Distance plays a crucial role in the force of gravity, as it is inversely proportional to the square of the distance between two objects. The video script explains that the farther apart two objects are, the weaker the gravitational force between them. This concept is used to contrast the gravitational pull between an apple and the Earth versus that between the Earth and a distant star.

💡Universal Gravitation

Universal gravitation is the gravitational attraction between all objects with mass. The video script delves into this concept by discussing Newton's law, which quantifies the gravitational force (F) as being proportional to the product of the masses of two objects (M1 and M2) and inversely proportional to the square of the distance (r) between their centers.

💡Constant of Gravitation

The constant of gravitation, often denoted as G, is a fundamental constant in Newton's law of universal gravitation. The video mentions that the value of this constant, approximately 6.67 × 10⁻¹¹ N·(m/kg)², was determined by Henry Cavendish. It is used to calculate the gravitational force between two masses.

💡Acceleration Due to Gravity

Acceleration due to gravity is the rate at which objects fall towards the Earth when only influenced by gravity. The video script distinguishes between this and the force of gravity, noting that the standard value of 9.8 m/s² or 10 m/s² is a measure of gravitational acceleration near the Earth's surface, not the gravitational force itself.

💡Earth's Mass

The Earth's mass is a significant value in calculating gravitational forces, as it is much larger than the mass of any object on or near its surface. The video script uses the Earth's mass, approximately 5.97 × 10²⁴ kg, to illustrate why an apple falls towards the Earth and not towards a person or another object of lesser mass.

💡Moon

The Moon is used in the video script as an example to explain the gravitational force between the Earth and the Moon. The script discusses how the Moon orbits the Earth due to the gravitational force, which is calculated using the universal gravitation formula, taking into account the masses of both the Earth and the Moon and the distance between their centers.

💡Cavendish

Henry Cavendish was an English scientist who is noted for his experiment that first measured the Earth's density and the constant of gravitation (G). The video script mentions Cavendish in the context of the constant of gravitation, highlighting his contribution to the field of physics and our understanding of gravity.

Highlights

Gravity is the force that keeps objects on the Earth's surface.

Without gravity, objects would not stay on the Earth's surface.

Gravity is a fundamental force that allows us to walk and sit comfortably.

The concept of gravity is often associated with Newton's apple story.

Newton pondered why an apple falls to the Earth but stars do not.

The force of gravity depends on the distance between two objects.

The gravitational force is inversely proportional to the square of the distance between objects.

The gravitational force is also directly proportional to the masses of the interacting objects.

Newton concluded that gravitational force is proportional to the product of the masses and inversely proportional to the square of the distance.

The gravitational constant, discovered by Cavendish, is approximately 6.67 x 10^-11 N(m/kg)².

The full equation for gravitational force is F = G * (M1 * M2) / r², where G is the gravitational constant.

The mass of the Earth is approximately 5.97 x 10^24 kg, which is much larger than the mass of a human.

The gravitational force between the Earth and the Moon can be calculated using the gravitational force equation.

The distance in the gravitational force equation should be measured from the centers of the two objects.

The acceleration due to gravity is approximately 9.8 m/s² or 10 m/s².

The difference between gravitational force and gravitational acceleration will be discussed in a future video.

Gravity is the attractive force between interacting objects.

The magnitude of gravity is calculated as F = G * (m1 * m2) / r².

Transcripts

play00:00

dalam kehidupan sehari-hari setiap benda

play00:02

bisa berada tetap di atas permukaan bumi

play00:05

karena adanya gravitasi coba lo

play00:08

berandai-andai deh kalau nggak ada

play00:10

gravitasi Gimana caranya kita bisa

play00:12

jalan-jalan gimana caranya kita bisa

play00:15

duduk dengan tenang sambil nikmatin kopi

play00:18

di Coffee Shop

play00:19

tapi apa sih sebenarnya gaya gravitasi

play00:22

itu kita akan bahas di video kali ini ya

play00:27

[Musik]

play00:35

cerita yang sering terdengar tentang

play00:38

gravitasi tuh Newton Lagi duduk terus

play00:42

kejatuhan apel itu nggak sepenuhnya

play00:44

tepat Newton itu waktu itu berpikir

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Kenapa apel jatuh ke bumi tapi bintang

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gak jatuh ke bumi Coba deh lo ikutan

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mikir kenapa apel bisa jatuh tapi

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bintang gak jatuh ke bumi apa yang bisa

play01:00

dibandingin antara apel dengan bintang

play01:03

salah satu yang bisa dibandingin antara

play01:06

kedua hal tadi adalah jaraknya apel bisa

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jatuh ke bumi karena ada gaya tarik

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gravitasi antara bumi dengan apel itu

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Apakah bumi dengan bintang nggak ada

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gaya tarik gravitasi

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ada tapi sangat kecil karena jaraknya

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jauh dari pengamatan ini Newton

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menyimpulkan kalau misalnya gaya

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gravitasi antara dua buah benda

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berbanding terbalik dengan jarak antar

play01:33

benda tersebut kuadrat berarti kalau

play01:36

jaraknya makin jauh ya gaya gravitasinya

play01:39

Makin kecil gitu kan Apakah cuma jarak

play01:42

yang mempengaruhi gaya gravitasi gua ada

play01:45

pertanyaan lagi kalau misalnya apel gue

play01:48

taro dengan jarak yang sama antara apel

play01:51

dengan permukaan bumi tadi ini jaraknya

play01:54

antara gua dan apel nih ya kira-kira

play01:57

apelnya akan geraknya kemana Apakah Dia

play02:00

akan mendekat ke gue atau ke bumi

play02:03

yups apelnya akan tertarik ke permukaan

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bumi Loh kok gitu Padahal kan tadi

play02:10

jaraknya sama

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Berarti ada pengaruh lain untuk nilai

play02:14

gaya gravitasi ini nilai itu dipengaruhi

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oleh yang namanya masa masa antara benda

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yang berinteraksi

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Masa gue masa orang gitu ya itu ada di

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range 10 pangkat 1 bisa 5 kali 10

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pangkat 1 atau 50 itu bisa juga sampai

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70 mungkin 100 kg sedangkan massa bumi

play02:35

tahu nggak masa bumi Berapa masa bumi

play02:39

itu 5,97 kali 10 pangkat 24 kg sangat

play02:45

jauh lebih besar daripada massa orang

play02:48

gitu kan berarti dari sini kan kita

play02:50

lihat apel tertariknya ke bumi bukan ke

play02:53

gue bukan ke orang dari sini Newton bisa

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menyimpulkan kalau misalnya gaya

play02:58

gravitasi itu berbanding lurus dengan

play03:01

yang namanya massa antara kedua benda

play03:04

yang berinteraksi makin besar massa dari

play03:07

benda yang berinteraksi gaya

play03:09

gravitasinya semakin besar

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Newton nemuin persamaannya sampai sini

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gaya gravitasi nilainya sebanding dengan

play03:16

massa dari kedua benda yang berinteraksi

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tapi berbanding terbalik dengan jarak

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antar bendanya

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tapi persamaan gaya gravitasi fullnya

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tuh kayak gini f = g dikali M1 dikali M2

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per r kuadrat G ini adalah konstanta

play03:34

gravitasi umum yang ditemuin oleh

play03:36

cavendice nanti lo akan bahas ini di

play03:39

video berikutnya nilai dari konstanta

play03:42

gravitasi umum adalah segini 6,67 x 10

play03:45

pangkat minus 11 satuannya apa satuannya

play03:49

Newton meter kuadrat per kg kuadrat

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kalau contoh tadi gue bahasnya apel

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dengan bumi sekarang gue mau bahas

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contoh yang lain gua mau bahas contoh

play04:00

bumi dengan bulan gaya gravitasi antara

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bumi dengan bulan kita bisa cari pakai

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persamaan ini ya f sama dengan G dikali

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m1 m2 per r kuadrat M1 nya massa bumi M2

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nya masa bulan r kuadrat ini r nya

play04:16

adalah jarak antara bumi dan bulan lo

play04:18

masih ingat kalau misalnya jarak antara

play04:20

bumi dan bulan ini adalah jarak dari

play04:23

ke pusat jarak dari pusat bumi ke pusat

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bulan sehingga dengan perhitungan kita

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dapat nilainya segini

play04:31

untuk kasus apel di atas permukaan bumi

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tadi kita kan tahu ketinggian apelnya

play04:36

sebesar ini kan sebesar R ini kan Nah

play04:39

ini sebenarnya belum sama jari-jari bumi

play04:41

sedangkan kalau kita ngitung besar gaya

play04:44

gravitasi antara bumi dengan objek lain

play04:46

itu mesti dari pusat bumi jadi nanti

play04:49

kalau mau Hitung gaya gravitasinya dalam

play04:51

perhitungannya ini radiusnya jarak

play04:54

antara bumi dan apelnya itu mesti lo

play04:57

Tambahin sama radius bumi jadi nanti

play04:58

persamaannya kayak gini

play05:01

fyi di soal fisika itu kan sering banget

play05:04

tuh disebut percepatan gravitasi

play05:06

nilainya 9,8 m/s² atau 10 m/s² ini beda

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ya sama gaya gravitasi yang kita bahas

play05:14

di sini nilai itu sebenarnya adalah

play05:16

nilai percepatan gravitasi atau medan

play05:19

gravitasi yang akan kita bahas di video

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berikutnya jadi gitu tentang gaya

play05:24

gravitasi gaya gravitasi adalah gaya

play05:26

tarik antara objek yang berinteraksi

play05:29

gitu kan Nah besarnya itu adalah kayak

play05:32

gini f sama dengan G dikali m1 m2 per r

play05:36

kuadrat gitu aja untuk video kali ini

play05:38

sampai jumpa di video berikutnya

play05:40

[Musik]

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GravityPhysicsNewtonEducationalScienceSpaceAppleEarthMoonForces
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