Directions: Solve the following problems. Show your work for full credit. Include units in your calculations, and explain your reasoning in your solutions. 1) You have a spring with k = 170 N/m and a timer that you use to measure the mass of various objects. For an unknown mass, the period of oscillation you measured is T: 0.73 s. a. Find the unknown mass. b. Would this method of measurement still work if you were on Mars? Would an ordinary bathroom scale work on Mars? Explain. 2) A toddler is swinging in a swing (not too high, for safety reasons). The length of the swing is 3 m (from the top bar of the swing set to the seat). a. How long does it take to swing through one full cycle of motion? b. What is the frequency of the motion? c. At a moment when Mom is looking away, the toddler's big brother pushes him higher, so that the periodic motion is no longer simple harmonic motion. Why is this not SHM? Him: What must be true of any periodic motion for it to be SHM