Spiderman's powers come from being bitten on the hand by a radioactive spider that was accidentally irradiated by a particle beam. This accident gave him strength, agility and the ability to cling to almost any surface.
The Hulk's powers come from being accidentally exposed to the blast of a test detonation of a gamma bomb he invented. Now every time he gets cross, the sweet Bruce Banner is transformed into a giant, raging humanoid monster. Remind you of anyone?