Question

Constants | Periodic Table Chris jumps off a bridge with a bungee cord (a heavy stretchable cord) tied around his ankle as shown in the figure(Figure 1). He falls for 15 m before the bungee cord begins to stretch. Chris's mass is 80 kg and we assume the cord obeys Hooke's law, F= -kx, with k = 50 N/m. Part A If we neglect air resistance, estimate how far below the bridge Chris's foot will be before coming to a stop. Ignore the mass of the cord (not realistic, however) and treat Chris as a particle. Express your answer using two significant figures. EVO AKO ? h= m

Answer 1

Free fall fall before the Lord mass m= potential of begin to stretch Y, = 15m 80 kg acceleration due to gravity g=9.81 m/s² Gravitational energy mgy, Let the length of stretching cord is Y₂ spring PoE = £ Kaya conservation of energy Grav PE = spring PIE mgy, = Kya Yz a 2 male = 1 2x80x9-81X15 = 21.7 m Total height below the bridge h=Y, +4₂ =15+ 21.7 = 36.7 m from the law of 50