Energy Stored in a Spring The force required to compress a linear spring is give

Question

Energy Stored in a Spring The force required to compress a linear spring is given by the equation F = kx where F is the force in newtons and k is the spring constant in newtons per meter. The potential energy stored in the compressed spring is given by the equation E = 1/2 kx2 where E is the energy in joules. The following information is available for four springs: Determine the compression of each spring, and the potential energy stored in each spring Which spring has the most energy stored in it?

Explanation / Answer

The Matlab Code is; F=[20 30 25 20] k=[200 250 300 400] x=F./k E=0.5*k.*x.^2 [C, I]=max(E) The output of the code is: F = 20 30 25 20 k = 200 250 300 400 x = 0.1000 0.1200 0.0833 0.0500 E = 1.0000 1.8000 1.0417 0.5000 C = 1.8000 I = 2

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