I need help in physics ! please help! grade 11 stuff! need it for tomorrow!?

Question

A bungee jump of mass 60 kg jumps from a bridge tied to an elastic rope which becomes taut after he falls 10m. Consider the jumper when he has fallen another 10 m and is travelling at 15 m/s.

State a) a form of energy that has been lost, b) two forms of energy that have been gained

c) work out how much energy is stored in the rope. take g=10m/s2 and ignore air resistance..

Please show answer with the steps n not just the answer. When it says that the bungee jumper has fallen 10 m more...does it mean that the rope breaks?

I need it now please!......

Answer 1

Energy is conserved so consider the sum of energies (potential and kinetic) at 2 different locations (say when rope is taut, 10m, and when he travels a total of 20m) and equate them to solve for elastic energy of the rope.



Some useful equations:

Hooke's Law: F= kx

Elastic energy:  E = 0.5kx^2

Potential energy:  PE = mgh; h:distance traveled

Kinetic energy:  KE = 0.5mv^2