Final answer:
To calculate the length of AE, use the equation FAL = YALo.
Step-by-step explanation:
In order to calculate the length of AE, we need to use the equation for change in length which is FAL = YALo.
Here, F is the force applied, A is the cross-sectional area of the material, L is the original length of the material, Y is the Young's modulus of elasticity, and Lo is the original length of AE.
To calculate Y, we need to use the equation PEelec = (Am)c². Plug in the given values and solve for AE. Then, substitute AE for Y in the equation FAL = YALo to find the length of AE.
However, the details suggest an approach that might involve algebraic solutions or principles from vector calculus, depending on the diagram which isn't provided here. Some snippets allude to physics, with references to electric potential energy (PEelec) and possibly Einstein's mass-energy equivalence (E = mc²). Without a concrete diagram or further context, it isn't feasible to calculate AE with the information given.
If this is a physics problem and pertains to mass-energy equivalence, you would use AE = (Am)c² to find the energy, substituting the mass Am and the speed of light c. However, if this is purely a mathematical query involving a diagram not seen here, you would need to provide the specifics of the diagram for a clear path to the solution.