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The force in a spring is given by the equation Fs = -kx, where"k" is the spring constant (how stretchy a spring is), and x is how far the spring is compressed or stretched. 

 

a. Write a differential equation that relates the change of the energy stored in a spring to the force needed to stretch or compress it.

 

b. Solve this equation to find the energy in terms of the spring constant and the stretch/compress distance.

 

Thanks in advancesmiley

 

 

I had already posted this question but I got no answer so I'm putting it again so maybe someone who knows can help me

 Dec 1, 2016

Best Answer 

 #2
avatar+12531 
+5

Hallo, JonathanB

I think it's right.

laugh

 Dec 1, 2016
 #1
avatar+33657 
+5

If the spring extension changes by a small (infinitesimal) distance, dx, then the energy change, dE, is given by Fs*dx.

 

i.e. dE = Fs*dx or dE/dx = Fs or dE/dx = -kx

 

Hence E = -(1/2)kx^2

.

 Dec 1, 2016
 #2
avatar+12531 
+5
Best Answer

Hallo, JonathanB

I think it's right.

laugh

Omi67 Dec 1, 2016
 #3
avatar+245 
0

Thx. 

JonathanB  Dec 2, 2016

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