I have an ideal monoatomic gas of N particles, each of mass m, is at thermal equilibrium at absolute temperature T, confined inside a cubical box of side L, whose top and bottom sides are parallel to the earth’s surface. The effect of the earth’s uniform gravitational field on the particles should be considered, the acceleration due to gravity being g.
I wish to understand if I need to account for the gravitational field on the KE of each particle? I know this gas has 3 d.o.f., each contributing 1/2 KT, so the average KE without gravity is 3/2KT.
Also how do I then find the average potential of each particle? Since they are ideal monoatomic, I presume they have no interactions, so usually (without gravity) the potential would be 0. How to account for this ccorrectly in this case?
Thanks!
im making an animation that has to do with gravity and stuff so knowing how to do it will be helpful
In atmosphere you have very little gravity, as you approach a planets surface gravity increases, but if you drilled further to the very middle of the planet would you be weightless?
Is there an equation for when this flip occurs from gravity increasing on you to decreasing as you drill down into the middle of a planet?
Also, if we make a human size super cooled hole in the middle of a planet and teleport your body there would you be totally weightless or ripped apart by the gravitational pull of all the mass around you since the middle of your body would be weightless/balanced from the gravitational pull of all the mass around you but your body parts would be off center and have the gravity effects of all the land mass? or would you just be weightless?
Would it just be "black"?, Just a blur? Fast forward effect? Massive difference based on distance away from the observer?
So since E=mc^2, if there was a point somewhere in space that had the same energy as our sun but in a volume, of let's say the size of a car would it have the same gravitational effects on other objects that are an appropriate distance away?
am a new GM and my crews gotten a Jovian pattern nova cannon on their ship (the Archaeotech one that shoots Vortex Warheads), and I'm wanting to make sure I know at least where to look for all the rulings for some things they're likely to do at some point. one thing i've found is that while theres rules for lance and macro battery strikes on planets, theres none for the Nova Cannon.
What would the Nova Cannon do to a planetary Target? how big would the explosion be, since the nova cannon blast is apparently a 3x3 VU AOE? what effects would the Jovian patterns specifically stated Vortex Warheads cause to a planet?
Biologically gravity affects the human body very much. The joint pains, muscle aches that come with old age are very much attributable to the high gravitational force of our planet. As such this shortens our lifespan as well.
Effects of low gravity are opposite. So much so, that astronauts who spent a considerable amount of time in zero gravity environments need physical rehabilitation on returning to Earth.
As such, a human who has spend his growth phase (childhood, adolescence, early adulthood) in a high gravity environment (say Earth), excels in a lower gravity environment (think Mars) due to higher bone and muscle mass density and probably outlives his counterpart back on Earth by quite a length of time due to gravity not wearing our body down. The opposite scenario has exactly opposite effects.
I can see Space Marines and Orks not being hampered much by this due to their already massive muscle mass and density, enough to overcome most high gravity planets' effects. Tau can probably counter it with their exosuits and Necrons are well― sentient supreme quality metal Terminators, so they're automatically out.
But what about the puny humans in the Astra Militarum? Or the Inquisitors? They do need to get from planet to planet to purge heretics. How do they fare? Time inconsistencies have been attributed to the effects of the Warp, but what about this?
Thanks in advance.
I'm trying to understand how gravitational waves impact locally experienced time flow (note that I'm not a physicist and only had special relativity courses in college). Imagine you're sitting somewhere in space with a metronome and a gravitational wave with extreme amplitude passes through your location: what would you experience?
1. Wave trough:
I'd guess that while you're in the wave trough, you'd experience time dilation, i.e. outside observers would see your metronome slow down. But how would you experience this locally? Since gravitational waves move at the speed of light for all observers, the experience would be very brief considering typical wavelengths for such phenomena. But would it look to you as if the "outside universe" suddenly went into "fast motion" for that brief moment? (To visualize: let's say you're in the wave trough for 1s while the outside universe goes through a hundred years).
2. Wave crest:
Alternatively, while you're in the wave crest, would you experience time contraction, i.e. outside observers would see your metronome speed-up? Would it look to you as if the "outside universe" went into "slow-motion" during that moment? (To visualize: let's consider a gravitational wave with an extremely long wavelength as to keep you "inside the crest" for a hundred years, while the outside universe goes through 1s).
https://preview.redd.it/lf7g23uhbnz61.png?width=628&format=png&auto=webp&s=3fe1f42d3919d80e98d840d1a0879d7d995d790b
Extra question:
Are gravitational stationary waves possible?
I'm wondering if, at the center of the Lakianea (spelling?) cluster which lies the Great Attractor, has any significant and measurable effects on other similar or larger gravitational wells such as black holes, quasars etc
I know it pulls several hundreds of thousands of galaxies with forces unimaginable but I'm to assume black holes are a bit "stronger" in pull
So in the movie, this supermassive black hole has a gravitational pull so strong it actually distorts time (from what I’ve heard, anyway, I haven’t actually seen the film). I’m wondering if the same could be achieved just by an exceptionally large star, though perhaps not to quite the same effect, so that time would pass merely, say, twice as fast as on Earth rather than having a situation where decades pass by on Earth for every hour you orbit the star/black hole.
