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First, lets examine the strength of Spider-Man's webs by investigating the iconic train scene from Spider-Man 2. Graduate students at the University of Leicester did just that. They found that about 300,000 Newtons would be the necessary force, in order, to stop the train. Their plan was to determine the tensile strength needed to stop the train with Young's Modulus. The value to the stop the train came out to be 3.12 GPa. This is extremely intriguing because spider's silk have Young Moduli anywhere from 1.5 GPa to 12 GPa. This means that Spider-Man having web with the same strength as spider's silk would, indeed, have the amount of force to stop the train. However, these forces would most definitely tear a regular humans arms off. This is where the authors use the unscientific reasoning of Spider-Man being super-strong, therefore, being able to withstand the force.
http://rebloggy.com/post/peter-parker-spider-man-spider-man-2-tobey-maquire/36845566650
The next iconic feature of Spider-Man to examine his his web swinging. All throughout comics, cartoons, and movies Spider-Man is swinging from building to building. His webs having enough force to accomplish this has already been proven, but there is a larger problem than the strength of the web: the velocity of the swing. Spider-Man regularly free falls before shooting a web and changing directions or stopping immediately. If he was falling from a building of approximately 150 meters his velocity would be over 50 meters per second at impact. Immediate deceleration would cause a regular human much trouble. This again shows although there is an amount of possible physics behind Spider-Man, at the end of the day being Spidey is more myth than possibility.
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