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Directions: Solve the following problems. Show your work for full credit. Include units in your calculations, and explain your reasoning in your solutions. 1) A rubber band with spring constant k = 100 N/m is used to shoot a paper hornet of mass m = 1 g down a stairwell of height h = 3 m. It is stretched a distance As = 12 cm. a. If the bottom of the stairs has zero height, what is the total mechanical energy initially? b. If there were no air resistance, how fast would the hornet be moving just before hitting the ground? c. The hornet's final speed just before hitting the ground is measured at w = 25 m/s. How much work was done on the hornet by air resistance