Download - How big is a black hole
![Page 1: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/1.jpg)
HOW BIG IS A BLACK HOLE
![Page 2: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/2.jpg)
BY THE END OF THE SESSION YOU SHOULD BE ABLE TO:
Explain what the Schwarzchild radius is.
Recall which principles in physics are needed to derive it.
Derive the equation for the Schwarzchild radius with some help.
![Page 3: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/3.jpg)
WHAT DO YOU KNOW ABOUT BLACK HOLES ALREADY?
![Page 4: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/4.jpg)
ARTISTS IMPRESSIONS OF BLACK HOLES
![Page 5: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/5.jpg)
WHAT PRINCIPLES IN PHYSICS MIGHT WE USE TO DETERMINE THE SIZE IF A BLACK HOLE?
We want to find out the radius of the event horizon.
![Page 6: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/6.jpg)
ESCAPE VELOCITY OF A ROCKET LEAVING EARTH
We will compare the energy the rocket has to the energy it needs to completely ‘escape’ from the earth.
![Page 7: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/7.jpg)
ENERGY REQUIRED TO ESCAPE FROM EARTH
Gravitational constant
Mass of the Earth
Mass of the Rocket
Distance of rocket from centre of mass of The Earth
Gravitational potential
Work done to move an object of mass (m) through a Gravitational Potential (V)
![Page 8: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/8.jpg)
ENERGY REQUIRED TO ESCAPE FROM EARTH
![Page 9: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/9.jpg)
CALCULATING ESCAPE VELOCITY
Use the law of conservation of energy
![Page 10: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/10.jpg)
WHAT ABOUT ESCAPING FROM A BLACK HOLE?
What is the fastest thing that cannot escape from a black hole?Now let M be the Mass of the black hole
![Page 11: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/11.jpg)
THE SCHWARZCHILD RADIUS
![Page 12: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/12.jpg)
BY THE END OF THE SESSION YOU SHOULD BE ABLE TO:
Understand what the Schwarzchild radius is.
Recall which principles in physics are needed to derive it.
Derive the equation for the Schwarzchild radius with some help.
![Page 13: How big is a black hole](https://reader036.vdocuments.us/reader036/viewer/2022062307/557ad0d4d8b42add288b4dbe/html5/thumbnails/13.jpg)