I expect I could research the relevant facts, figures and formulae to try to work this one out myself, but a)I’d be forever unsure I was anywhere near correct and b)I’m too damn lazy.
OK, so I understand that objects falling from high places to low ones experience a change in potential energy and that the balance of this is released as heat (I learned that from rebuttals to the creationist vapour canopy hypothesis).
I also understand that matter is constantly falling to Earth from space in the form of meteorites and dust.
So… how much heat is imparted to the Earth(incl the atmosphere) by a day’s worth of typical space dust/meteorites? Bonus points will be awarded if this can be expressed in terms of approximately what volume of water could be raised from 20C to boiling.
I agree, 100km fall is not a good approximation because the material is essentially falling from infinite distance.
But still, 100 tons falling at 22 km/s releases only 2.4x10[sup]13[/sup] joules. If you get that much per day, that’s a rate of 280 MW. About the same as sunlight falling on a 50-acre surface.