What is the participle of hop?
"Hopping" is the present participle; "hopped" is the past participle.
Hope/hoping and hop/hopping are two different verbs. Hope - a desire for something to happen. I hope I do well on the exam. (Hoping is the present participle.) Hop - to move around by jumping, usually on one foot. Hop on your right foot if your left foot is bothering you. (The present participle is hopping.)