Write up a solution involving clearly the 4 steps of the problem solving process

Question

Write up a solution involving clearly the 4 steps of the problem solving process Identify, Setup, Execute, Evaluate. (Please use these steps!) thanks! The Navy wants a new airplane launcher for their aircraft carriers that is basically a large spring and your job is to determine the necessary spring constant. The launcher pushes the plane for a short distance along a much longer runway. During that same time, the plane's jet engines supply a constant thrust force for the entire length of the runway. The planes need to have a minimum velocity by the time they reach the end of the runway in order to take off successfully.

Explanation / Answer

using conservation of energy

the potential energy stored in the spring + the work done by the engine = kinetic energy

1/2 k x2 + F.L = 1/2 M V2

simplyfying for " k "

1/2 k x2 = 1/2 M V2 - F.L

k x2 = 2 ( 1/2 M V2 - F.L )

k = 2 ( 1/2 M V2 - F.L ) / x2

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