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Zelda physics butchering
16 years ago
Something scribbled in school for the funz:
Ever noticed how the stones that octorok monsters spit in Legend of Zelda games fly right ofscreen if uninterrupted. They could propably go on and on and on without falling to the ground. How is that possible? S:l Uh...maybe their speed is just right so they stay in orbit around the earth o_o How would that feel behind the shield when Link carefreely blocks the stone?
Judging from the sprites of the first game I'd say the rock is about 1 meter in diameter (when compared to Link who is supposed to be a kid) and it's flying distance from ground maybe a meter too 8l That would hit the rascal right in the schnozzle.
Since there is no way of knowing what stuff the stones are (they COULD be styrofoam) I'd pick something basic with a little more murder mass, like granite. So some number crunching...
--
Stone:
Radius r = 0.5m
Density of granite p = 2.75 g/cm3 = 2750 kg/m3
Volume V = (4*pi*r^3)/3 = 0.5235m3
Mass m = V*p = 1439.9 kg
So the mass of the stone equals 1439.9kg
--
Now we need to figure out how fast the stone would need to travel in order to stay in earth's orbit:
Speed v = sqrt((G*M)/r)
Gravitational constant G = 6.6726*10^-11 Nm2kg-2
Combined mass M = earth's mass + stone's mass = 5.972*10^24 kg + m = pretty much 5.972*10^24 kg
Orbit radius r = earth's mean radius + stone's distance from ground = 6371000m + 1m = 6371001m
So then speed v = sqrt((6.6726*10^-11Nm2kg-2 * 5.972*10^24kg) / 6371001m) = 7908.7m/s
which is about 28476 km/h
--
Since the stones fly at an even speed in the game we can forget about air friction and call them MAGICALLY AERODYNAMIC.
So then what's the impact energy?
The stones stop dead when they hit Link's shield (ok they recochet a little but not a significant amount) so the released kinetic energy should be E = 0.5*m*v^2 = 4.5*10^10 Joules
That's about 9.8 TONS of TNT and would blow a crater ROUGHLY 8 meters in diameter and 2 meters in depth. Four times more kick than the 5000lb boom here http://www.youtube.com/watch?v=Q8FLGuH9lpY (assuming it's TNT :l)
Try to block that with a handheld shield and stand still. I say you get your ass handed to you o_o
Ever noticed how the stones that octorok monsters spit in Legend of Zelda games fly right ofscreen if uninterrupted. They could propably go on and on and on without falling to the ground. How is that possible? S:l Uh...maybe their speed is just right so they stay in orbit around the earth o_o How would that feel behind the shield when Link carefreely blocks the stone?
Judging from the sprites of the first game I'd say the rock is about 1 meter in diameter (when compared to Link who is supposed to be a kid) and it's flying distance from ground maybe a meter too 8l That would hit the rascal right in the schnozzle.
Since there is no way of knowing what stuff the stones are (they COULD be styrofoam) I'd pick something basic with a little more murder mass, like granite. So some number crunching...
--
Stone:
Radius r = 0.5m
Density of granite p = 2.75 g/cm3 = 2750 kg/m3
Volume V = (4*pi*r^3)/3 = 0.5235m3
Mass m = V*p = 1439.9 kg
So the mass of the stone equals 1439.9kg
--
Now we need to figure out how fast the stone would need to travel in order to stay in earth's orbit:
Speed v = sqrt((G*M)/r)
Gravitational constant G = 6.6726*10^-11 Nm2kg-2
Combined mass M = earth's mass + stone's mass = 5.972*10^24 kg + m = pretty much 5.972*10^24 kg
Orbit radius r = earth's mean radius + stone's distance from ground = 6371000m + 1m = 6371001m
So then speed v = sqrt((6.6726*10^-11Nm2kg-2 * 5.972*10^24kg) / 6371001m) = 7908.7m/s
which is about 28476 km/h
--
Since the stones fly at an even speed in the game we can forget about air friction and call them MAGICALLY AERODYNAMIC.
So then what's the impact energy?
The stones stop dead when they hit Link's shield (ok they recochet a little but not a significant amount) so the released kinetic energy should be E = 0.5*m*v^2 = 4.5*10^10 Joules
That's about 9.8 TONS of TNT and would blow a crater ROUGHLY 8 meters in diameter and 2 meters in depth. Four times more kick than the 5000lb boom here http://www.youtube.com/watch?v=Q8FLGuH9lpY (assuming it's TNT :l)
Try to block that with a handheld shield and stand still. I say you get your ass handed to you o_o
Now tell us how strong Mario's legs would need to be to make a pudgy guy jump about 5 times his own height! :D
Converting the required explosive energy capacity into approximated muscle mass seems kinda impossible to figure out. Then again it's imaginable how much pasta and spaghetti Mario would need to consume to finish a world :D
I can only admire your physics knowledge. ^_^b
But to be honest, there are actually a lot of calculation and coversion programs online so you can (with basic understanding of physics) rougly solve all kinds of crazy ideas ^^
Now to calculate how we can REBUILD the hero of time from just the fillings of his teef 8F
Then again I guess the magnets would have to be pretty strong to react enough to the magnetic field or the iron core of the planet since that's propably the biggest deposit under your feet in the worst case. Then one could start solving how catastrophic the event of two of these magnets accidentally slamming together would be x)