Mechanics Sample Problem To raise money for a university scholarship fund, the new IT dean has volunteered to bungee jump from a crane if contributions can be found for 10 scholarships. To add some interest, the jump will be made from 42 m above a pool of water. A 30m bungee cord would be attached to the dean. First you must convince the clean that your plan is safe for a person of his mass, 70kg. The clean knows that as the bungee cord begins to stretch, it will exert a force which has the same properties as the force exerted by a spring. Your plan has the dean stepping off a platform and being in free fall for 30 m before the cord begins to stretch. a) Determine the spring constant of the bungee cord 50 that it stretches only 12m, which will just keep the clean out of the water. (Assume that the clean is a point like object). b) Using the result of a), find the dean's speed 7m above the water