What is the spring constant of a spring that stores 25j of elastic potential energy when...

Question:

What is the spring constant of a spring that stores 25j of elastic potential energy when compressed by 7.5cm?

Spring energy:

When the spring is deformed then an external work is done on it. This external work is stored in the spring as its spring potential energy.

We can use this energy as the mechanical energy to obtain useful work.

So the spring behaves as an energy-storing mechanical device.

Answer and Explanation:

Given:

{eq}E = 25\ J\\ x = 0.075\ m\\ {/eq}

Let the spring constant be k.

The spring energy is given as,

{eq}E = 0.5\ k\ x^2\\ 25 = 0.5\ k\times 0.075^2\\ \implies k = 8888.8\ N/m\\ {/eq}


Learn more about this topic:

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Hooke's Law & the Spring Constant: Definition & Equation

from UExcel Physics: Study Guide & Test Prep

Chapter 4 / Lesson 19
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