soaps have a hydrophobic and hydrophilic end, the hydrophobic is non-polar whilst the hydrophilic is polar.
the soap molecules 'bury' their hydrophobic ends into oils and dirt particles which are non-polar. when a dirt particle is completely covered in soap molecules it becomes a micelle which becomes suspended in water with other micelles as the micelles all repel each other due the hydrophilic ends of the soaps which are sticking out of dirt particles having the same charge. the micelles form an emulsion which when be drained away takes all the dirt particles with it.
when a liquids surface tension is lowered it can spread out more and cover a larger area, hence becoming 'wetter'
fuck i'm good