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VIJAYWHAT committed Sep 29, 2024
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title: 'acceleration due to gravity of the earth'
weight: 3
---
**6.3 ACCELERATION DUE TO GRAVITY OF THE EARTH**
# ACCELERATION DUE TO GRAVITY OF THE EARTH

When objects fall on the Earth, the acceleration of the object is towards the Earth. From Newton's second law, an object is accelerated only under the action of a force. In the case of Earth, this force is the gravitational pull of Earth. This force produces a constant acceleration near the Earth's surface in all bodies, irrespective of their masses. The gravitational force exerted by Earth on the mass {{< katex diaplay >}}m{{< /katex >}} near the surface of the Earth is given by

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title: 'escape speed and orbital speed'
weight: 4
---
**6.4 ESCAPE SPEED AND ORBITAL SPEED**
# ESCAPE SPEED AND ORBITAL SPEED

Hydrogen and helium are the most abundant elements in the universe but Earth's atmosphere consists mainly of nitrogen and oxygen. The following discussion brings forth the reason why hydrogen and helium are not found in abundance on the Earth's atmosphere. When an object is thrown up with some initial speed it will reach a certain height after which it will fall back to Earth. If the same object is thrown again with a higher speed, it reaches a greater height than the previous one and falls back to Earth. This leads to the question of what should be the speed of an object thrown vertically up such that it escapes the Earth's gravity and would never come back. This speed is called "Escape speed" and it is defined as "the minimum speed required for a body to escape from the earth's gravitational pull”.

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weight: 2
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**6.2 GRAVITATIONAL FIELD AND GRAVITATIONAL POTENTIAL**

## Gravitational field

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7 changes: 1 addition & 6 deletions content.en/gravitation/introduction/index.md
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title: 'introduction'
weight: 1
---
**U N I T 6**

**GRAVITATION**

"The most remarkable discovery in all of astronomy is that the stars are made up of atoms of same kind as those in the Earth" - Richard Feynman

**Learning Objectives**

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- measurement of the radius of Earth using Eratosthenes method
- recent developments in gravitation and astrophysics

**6.1 INTRODUCTION**
# INTRODUCTION

We are amazed looking at the glittering sky; we wonder how the Sun rises in the East and sets in the West, why there are comets or why stars twinkle. The sky has been an object of curiosity for human beings from time immemorial. We have always wondered about the motion of stars, the Moon, and the planets. From Aristotle to Stephen Hawking, great minds have tried to understand the movement of celestial objects in space and what causes their motion.

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2 changes: 1 addition & 1 deletion content.en/heat-and-thermodynamics/_index.md
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Fahrenheit °C=(°F − 32)÷1.8 °F = (1.8 × °C) + 32 -->

<!-- **8.2** -->
**8.2 THERMAL PROPERTIES OF MATTER**
# THERMAL PROPERTIES OF MATTER
<!-- # THERMAL PROPERTIES OF MATTER -->


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2 changes: 1 addition & 1 deletion content.en/oscillations/_index.md
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$$\frac{1}{2}m\omega^2(A^2 - x^2) = \frac{1}{2}m\omega^2x'^2$$

**10.6 TYPES OF OSCILLATIONS:**
# TYPES OF OSCILLATIONS:

## Free oscillations
When the oscillator is allowed to oscillate by displacing its position from equilibrium position, it oscillates with a frequency which is equal to the natural frequency of the oscillator. Such an oscillation or vibration is known as free oscillation or free vibration. In this case, the amplitude, frequency and the energy of the vibrating object remains constant.
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2 changes: 1 addition & 1 deletion content.en/properties-of-matter/_index.md
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<!-- ials **ulk modulus (K)**
**1010 N m–2) Shear modulus (ηR) (1010 N m–2)**
# N m–2) Shear modulus (ηR) (1010 N m–2)
5.8 8.0
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4 changes: 2 additions & 2 deletions content.ta/kinematics/_index.md
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_இரண்டும் ஒகர கவகத்தில் த்சன்றோலும் கைேோை தபோருளின் உந்�ம், கை்சோை தபோருளின் உந்�த்ர� வி் 100 ே்ஙகு அதிகம் என்பர� இந்� எடுத்துககோட்டிலிருந்து அறியைோம்._

**2.10 _ஒரு ்பரிமோண இயககம்_**
# _ஒரு ்பரிமோண இயககம்_

## சரோசரித் திகசநவகம் _துகத்ளோன்று ஒரு பரிேோணத்தில் இயஙகுகிறது என்க. எடுத்துககோட்்ோக x திர்சயில் இயஙகுகிறது என்று எடுத்துகதகோண்்ோல் அத்துகளின் ்சரோ்சரித் திர்சகவகம்_

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_எைகவ, எதிரமுடுககம் = 0.5 m s –2_

**2.11 _எறிக்போருளின் இயககம் (projectile motion)_**
# _எறிக்போருளின் இயககம் (projectile motion)_

## அறிமுகம் _த�ோ்ககத் திர்சகவகம் ேட்டும் தகோடுககபபட்் பின்பு புவியீரபபு விர்சயிைோல் ேட்டும் கோறறில் இயஙகும் தபோருள எறிதபோருள எைபபடும். எறிதபோருள கேறதகோளளும் போர� எறிபோர� (trajectory) எைபபடும்._

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