Corrected entry: In the end of the movie when Kong falls and everyone is surrounding him. Mathematically speaking, with his size and weight and the height of his fall, he should have left some kind of crater or indentation in the pavement where he landed, and there should be some casualties who did not manage to get out of the way of his fall. Instead he left a nice clean corpse for everyone to marvel over and take pictures of.
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Correction: A minor point, this mistake hasn't really got anything to with Math, its all about the Laws of Physics. These laws will show that Kong should have bounced when he hit the ground. We don't see it screen but it would have happened. So Kong would have bounced and landed again in another position from where he initially "landed". Who is to say Kong didn't make an impact crater of some sort, there are far too many people around to show the extent of damage of the ground. At that height (from the top of the Empire State building) the people on the ground should have seen him falling and moved out of the way accordingly. There were police watching the events above and would have seen Kong falling and warned people to get out of the way. As for the clean corpse, this may be the only true mistake, however showing a mangled giant ape on screen would hardly be appropriate.
XIII