How do I dispose of the mouse I just caught?

Following fluther advice, I just put a Victor mouse trap (non-battery operated – spring mechanism) in the front seat of car. Now – five minutes later, there are the hindquarters of what is clearly a dead rodent sticking out of the hole. What do I do about my squeamishness. Is it fair to ask a friend to do the honors? Trap is expensive to use only once. Yech.