NOTE: Answers must include a full solution process. Your final answer must include the correct final units and the correct significant figures. Please include labelled diagrams for each question.

Question 1: A 120' kg piano is at the top ofa ramp that makes an angle of 30 with the level ground. As the piano slides down the ramp it experiences a force of friction. The coefcient of kinetic friction is [1.10. a. Draw free body diagram that represents the forces acting on the piano. b. Determine the magnitude of the normal force acting on the piano. c. Determine the magnitude of the kinetic force of friction acting on the piano. d. Determine the acceleration of the piano along the axis parallel to the ramp {i.e. what is the acceleration down the ramp?]. Question 2: Keys with a combined mass of 0.1m] kg are attached to a [1.25 m long string and swung in a circle in the vertical plane. a. Determine the slowest speed that the keys can swing and still maintain a circular path. b. Determine the magnitude of the tension in the string at the bottom of the circle