The Southern Ring Nebula❤️
Here is another awesome picture by JWST.

With these Maxwell's equations light was possible🔥

It's hard to get it logically, but you can get same range of projectile on two angles!

But the condition is that the angles should be complementary.

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Physical Reason :

Range of a projectile depends on two factors, its horizontal speed and time of flight. Let's take two complementary angles 30° and 60°, in 30° projection, the time of flight is less because vertical component of velocity is less and hence horizontal velocity is larger. In 60° projection, the time of flight is larger since vertical component of velocity is larger and hence horizontal component in less.

These two factors kind of balance each other and produce same ranges on both 30° and 60°

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Mathematical Reason :

The mathematical way of understanding it is simple, expression for range is :

R = u²sin(2θ)
g

Since angle is twiced, the angles now become supplementary, i.e. from 30° and 60° to 60° and 120°. And sine of angles of θ and 180-θ is same, so the value of range will be same.

Maxwell's equations:
Their derivation
Proof
Uses
Books and videos suggestions are included in this short pdf. I hope you guys will enjoy it😊

Andromeda over the Sahara Desert😍😍

Copyright: Jordi Coy

If you have another option, comment it below.

For those who has voted for 'Physics Book Recommendation', check out this link 👇👇 I will also add another recommendation by myself.

https://noobphysics.com/the-best-books-to-learn-physics-from/

Beginner + High School level physics book recommendations
It is important to get the right background in mathematics, especially calculus, and in the foundations of physics.
Calculus:
✔️Calculus the early transcendentals by Anton, Bivens and Davis
- It is an introductory book for calculus.
- it has tons of examples and practice problems.
- tons of figures.
- so long explanations.
✔️Calculus for dummies by Mark Ryan.
- it is an outstanding book for precalculus, differentiation and integration.
- it has a moderate amount of examples.
- the explanations are so understandable.
- it is like its name any person with a basic algebra knowledge can go through it.
Physics
✔️University physics with modern physics by Young and Freedman
- it is an introductory physics textbook.
- it has long explanations.
- it has tons of examples and practice problems.
- it also consist of a little bit modern physics like relativity, quantum mechanics, particle physics, condensed matter physics and nuclear physics.
- it has wonderful explanations for especially concepts.
✔️Fundamentals of physics by Resnick and Haliday and Walker.
- it is an introductory level.
- it has a lot of figures.
- it has tons of examples and practice problems.
- it is good especially for practicing on numerous problems.

TO BE CONTINUED...😄
Coming up, I will post PDF format of these books✌️

Note: These recommendations are collected from different persons, groups, videos and websites. I'm not the one who recommended it utterly but I believe they are good.

📚Calculus the early transcendentals by Anton, Davis and Bivens
🔗24MB

📚Calculus for dummies by Mark Ryan.
🔗7MB

📚University physics with modern physics 15th edition by Young and Freedman.
🔗63MB

📚Fundamentals of physics by Resnick and Haliday.
🔗30MB

All the galaxies are 99.99% empty! This is a wonderful symmetry, as atoms are also 99.99% empty

For now by the word 'empty', I will just mean absence of normal matter, excluding dark matter, quantum fluctuations etc.

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But the question is why do we see images of galaxies with so densely packed stars, are they wrong?

No, they are not wrong. This illusion is due to the fact that angular distance between two stars in a far off galaxy is too less, enough less to be perceived both stars as one, by our eyes and cameras.

This huge empty space also a major reason why there would be almost no collisions between solar systems and stars when Milkyway and Andromeda, or any other galaxy will collide.

Another milestone. Well done!