Answer:
Engross means to utterly engage a mind in an activity. For those with a passion for an activity, to get engrossed means that time passes without the person being aware of it. This type of person is surprised that hours have passed while indulging in his passtime. Rather like we at WikiAnswers.
"Mommy knew that a yarn ball would engross the kitten for hours playing with it."
"The writing of her new novel will engross Evelyn until she forgets all sense of time."