A merry-go-round consists of a flat circular disk mounted on a bearing at the center allowing it to freely rotate. Consider a mass-less merry-go-round with a 4 meter diameter. Initially a 30kg child sits at the east edge of the stationary merry-go-round. A second child with a mass of 40kg runs north at a speed of 10km/hour, jumps and lands on the west edge of the merry-go-round making it turn. a) Make a sketch of problem during the jump when the 40kg child is in the air traveling at 10km/h north indicating the linear momentum vector (qualitatively only) b) Make a sketch of the merry-go-round after it is turning indicating the angular momentum vector (qualitatively only) c)Find the magnitude of the angular velocity vector of the turning merry-go-round. I don;t expect anyone to sketch the first a and b problems but it would help of you can tell me what what the linear momentum vector looks like. i don't really understand the whole qualitatively part. for c i tried but i think i failed. i used KE=p/2m i got KE= 1.35 J then used KE=IW^2/2 I=mr^2 so 1.35=((70)(2)^2)(W)/2 so W(angular velocity)= 0.00964rad/s but im pretty sure i am soo wrong because its asking for magnitude of the angular velocity. which is far from my thoughts.