The height of a spring loaded pen

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The discussion revolves around calculating the height a spring-loaded pen would travel if released from a desk. Key equations mentioned include the potential energy of the spring (PE = 0.5kx²) and the spring force (F = Kx). Energy conservation principles are applied, equating spring potential energy to gravitational potential energy (½*k*x² = m*g*h). The mass of the pen is crucial for determining the height it would reach. The conversation emphasizes the application of physics principles to solve the problem.
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Hi, you no those pens, that you have to push the top down, which is loaded with a spring to use? Well I was wondering if I released it on my desk how high would the pen travel?

I know that the spring PE=0.5kx^2 and the the spring force is F=Kx, but not sure were to go from there?

Thanks James
 
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Energy conservation:

½*k*x² = m*g*h

where m is mass of the pen.
 

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