Final answer:
The nurse should administer IV infusion of factor VIII.
Step-by-step explanation:
Hemophilia is a genetic disorder that affects the body's ability to control blood clotting. In the case of a 10-year-old child with hemophilia A who has bumped his knee, the nurse should prepare to administer IV infusion of factor VIII. Factor VIII is one of the clotting factors that is deficient in hemophilia A patients. By administering factor VIII through an intravenous infusion, the child can receive the necessary clotting factor to help control bleeding and promote healing.