Mars is a strange little planet. Its gravitational acceleration at its surface is exactly 10.0 metres per second per second, and its diameter is exactly 2100 kilometres.
Also, a completely unrelated fact, dragons are able to consume about 0.4 kg of pretty much anything they want to eat, every minute, nonstop.
Assuming that the density of the planet is uniform, and that orbiting bodies don't significantly affect the planet's gravity, how many years will it take one million dragons to consume one cubic kilometre of Mars? Please round up to the nearest year.
2007-04-29 08:56:13 · 4 answers · asked by culture_killer 3 in Science & Mathematics ➔ Physics
This is a different Mars than the one we have in our area: diameter 6792 km (equatorial), surface gravity = 1.666 m/s^2.
A dragon with a mass of 1 tonne would weigh only 170 kg on the Mars that is in our solar system (very different from yours -- do you have 4 gas giants? Never mind).
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If g = 10 m/s^2 for a planet of diam=2100, then the mass of your Mars must be close to 2.77% the mass of my planet (I won't say the name until I know if you are a non-hostile alien).
The volume of your Mars (diam = 2100 km) is only 0.45% that of my planet, which has an average density around 5,500 kg/m^3.
So yours must have a density of approximately 34,000 kg/m^3. I imagine that carrots grow more like discs rather than tubes, unable to push their way through such dense soil... No wonder the dragons will eat whatever they can instead of being choosy.
One million dragons will chew on 400,000 kg of soil per minute. At a density of 34,000 kg/m^3, this accounts for almost 11.765 m^3 per minute.
You want to get rid of 1 cubic km (1000*1000*1000 m^3). That will take 85 million minutes (1,416,700 hours = 59,028 days = 161.61 Gregorian years on my planet). Rounding 'up' means 162. I do not know how many of your years.
Wow, a million dragons. Our Mars only has a strange mountain that looked like a face (when we used low resolution cameras) and a very large, dormant volcano.
Almost tempted to switch.
Almost.
2007-04-29 09:48:05 · answer #1 · answered by Raymond 7 · 1⤊ 0⤋
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2016-11-23 15:17:37 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Do you want the answer in Earth years or Martian years?
2007-04-29 09:20:38 · answer #3 · answered by Anonymous · 0⤊ 1⤋
0 years - there is no such thing as dragons unless you are referring to camoda dragons.
2007-04-29 09:09:13 · answer #4 · answered by theaimlessdrifter 1 · 0⤊ 1⤋