Question

GREEN When bungee jumping from a high bridge over Victoria Falls, an operator first attaches an elastic rope to the jumper. The jumper then jumps off the bridge, falling freely until they reach the unstretched length of the rope. Then, the rope begins to stretch and slows the jumper to a stop. The rope pulls the jumper back up and they osollte up and down for a while until the operator pulls the jumper lack up to the bridge. 2333333333333333333 The rope is essentially a long spring. Let's label the jumped's mass m, the unstretched length of the rope Lo the height of the bridge above the water H. the elastic (spring) constant of the ropek, and the gravitational neid strength 9. The Jumper's speed at the point where they ve fallen the full length of the unstretched rope is a madium, Var For simplicity, we will neglect resistive forces like air drag Using the symbols in th total mechanical energy of the jumper-rope-Earth system when the What is the height of the me height= of the unstretched rope Your Write an expression for the total mechanical energy expression should include the maximum speed, max

please label and circle the answers

Answer 1

Aus Ao when the junker is at rese over the bridge then it has only the gravitational potential energy, Etatal = mgH Water Surface

Etotal - Gravitational PE +(K Elmax Etotal = mg/H-Lot I m Vmax Ans 2 eight above water surfate is H-Lo when the rope has stretched by maximeim distance d' meters , above to them height above water sufall MO hotel height = H- Lord = Ha (Lotd) 4

At the bottom most point the jumper is Stationary s hence the total mechanical Energy es potential in nature, i.e. E Toler P E Total P Esprint PE granity E Total I kd + mg (H-[Lo + d}). / Angwes Se there are no resistive Forees then the Total mechanical Energy of jumper t Earth system remains conserved le. TEA=Eo Eco option (B) is correct.