Question

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 oscillate up and down for a while until the operator pulls the jumper back up to the bridge. The rope is essentially a long spring. Let's label the jumper'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 rope k, and the gravitational field strength g. The jumper's speed at the point where they've fallen the full length of the unstretched rope is a maximum, vmax For simplicity, we will neglect resistive forces like air drag. А. Using the symbols in the problem described above, write an expression for the total mechanical energy of the jumper-rope-Earth system when the jumper is standing at rest on the bridge. Etot= В. What is the height of the jumper above the river when they've fallen the ful length of the unstretched rope? height Write an expression for the total mechanical energy of the jumper-rope Earth system when they've fallen the full length of the unstretched rope Your expression should include the maximum speed, Vmax Etot C. After falling the full length of the unstretched rope, the rope begins to stretch as the jumper continues falling. The jumper comes to a stop at the bottom when the rope has stretched its maximum distance, d. What is the height of the jumper above the river when they've come to a stop and the rope has stretched its maximum distance? height Write an expression for the total mechanical energy of the jumper-rope- Earth system when the jumper comes to a stop after the rope has stretched its maximum distance. Your expression should include the maximum distance the rope has stretched, d. Etot

Answer 1

Apply concepts of gravitation and work energy and power.

m Me Etot A) TRe tH earth Me mos = radus of earth = accaleraton due to Re HL highs B.) Ett ma(H-Lo) + mma 2- H (Lod Led H (H-Lo-d) (P.E.) Etot (k.E) CScamedwih CamScanner