Aperson of mass m the bridge to the river is h. the bungee cord has an un-stretched l beyoud that length it behaves as a spring with spring constant k. (a) (15 pts.) find an expression for the minimum spring constant k that will stop the person just before hitting the river (ignore the height of the person), in terms of m, g, and h (b) (10 pts.) suppose that when the person is at the bottom, just at the surface of the river, they see a very large fish and decide to grab it. the fish has a mass of 10% the mass of the person. assuming no energy is lost in the stretch of the bungee cord or to air resistance, how high will the person and fish bounce back up to? express your answer in terms of the initial height h.