A squirrel (M=340g) hangs on motionlessly from the end of a vertical piece of string (negligible mass) that is connected above to a tree branch. with one paw, she throws a pinecone (m=130g) horizontally with a speed of v=90cm/s. as a result, she starts moving in the opposite while still holding onto the sting. what is the largest height h that the squirrel reaches above her initial position?