Kate, a bungee jumper, wants to jump off the edge of a bridge that spans a river below. kate has a mass m, and the surface of the bridge is a height h above the water. the bungee cord, which has length l when unstretched, will first straighten and then stretch as kate falls. assume the following:
(a)the bungee cord behaves as an ideal spring once it begins to stretch, with spring constant k.
(b) kate doesn’t actually jump but simply steps off the edge of the bridge and falls straight downward.
(c) kate’s height is negligible compared to the length of the bungee cord. hence, she can be treated as a point particle. use for the magnitude of the acceleration due to gravity.

Industrial processes often require the damping of vibrations. consider a workbench that uses four large ideal springs in place of traditional legs, with each spring supporting one corner of the workbench and exhibiting a force constant of 47500 n/m. this workbench is used when creating products that involve highly unstable chemicals. according to specifications, the acceleration of the manufacturing equipment must be held to less than 22.3 m/s2 for the manufacturing process to proceed safely. the amplitude of vibrations are expected to remain under 0.622 mm throughout. given that the workbench and maufacturing equipment combine to 6.05 kg, find the maximum acceleration expected of the equipment and workbench. (ignore the mass of the springs.)