Problem 3. A dog sits 1.4 m from the center of a merry-go-round. The dog undergoes a 1.7 m/s^2 centripetal acceleration. What is the angular speed of the merry-go-round? Answer in units of rad/s. Problem 5. A girl sits on a tire that is attached to an overhanging tree limb by a rope 2.30 m in length. The girl's father pushes her with a tangential speed of 3.05 m/s. Besides the force opposing the girl's weight, the magnitude of the force that maintains her circular motion is 84.7 N. What is the girl's mass? Answer in units of kg. Note: How would you solve this?