Exercises of Relativity and Astrophysics E-Book

Simone Malacrida

• Herausgeber: Simone Malacrida
• Kategorie: Lebensstil
• Sprache: Englisch

Veröffentlichungsjahr: 2022

Beschreibung

In this book, exercises are carried out regarding the following physics topics:
theory of special and general relativity
relativistic cosmology
astronomy and astrophysics

Leseprobe

Table of Contents

“Exercises of Relativity and Astrophysics”

INTRODUCTION

SPECIAL RELATIVITY

GENERAL RELATIVITY

COSMOLOGY

ASTROPHYSICS

“Exercises of Relativity and Astrophysics”

SIMONE MALACRIDA

In this book, exercises are carried out regarding the following physics topics:

theory of special and general relativity

relativistic cosmology

astronomy and astrophysics

Simone Malacrida (1977)

Engineer and writer, has worked on research, finance, energy policy and industrial plants.

ANALYTICAL INDEX

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INTRODUCTION _ _

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I – SPECIAL RELATIVITY

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

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II – GENERAL RELATIVITY

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise 8

Exercise 9

Exercise 10

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III - COSMOLOGY

Exercise1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

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IV - ASTROPHYSICS

Exercise 1

Exercise 2

Exercise 3

Exercise 4

Exercise 5

Exercise 6

Exercise 7

Exercise8

INTRODUCTION

In this workbook some exemplifying problems are carried out about the special and general theory of relativity, cosmology, astronomy and astrophysics, ranging throughout the physics of the macrocosm.

These disciplines are generally addressed at university level in advanced physics courses (courses of general relativity and/or astronomical and astrophysics).

For this reason, they are aimed only at those who already have an advanced understanding of both university-level mathematical analysis problems and the physical theories necessary to understand the proposed exercises.

I

SPECIAL RELATIVITY

Exercise 1

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Given three inertial frames of reference as in the figure:

Find the length of the segment:

In the system below.

Write the relative speed u in the middle and top systems.

Find, as a function of the speed, the length of the segment:

In the system above.

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Given L the length of the segments, in the system below there is a contraction by the Lorentz factor:

The speed is given by:

Finally, the segments will have this speed dependency:

Exercise 2

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Given a system consisting of two equal bodies of mass m connected through a spring, we consider the two bodies initially stationary with a given potential energy U.

Determine the energy value of the system in the initial state.

Then the spring snaps and the two bodies are launched with the same speed but in opposite directions.