A spring is shortened by \(2\text{ m}\) from its original length. If the elastic potential energy of the spring is \(10\text{ J},\) what is the value of the spring constant?

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A spring hanging from the ceiling has a length of \(4\text{ m},\) and its spring constant is \(k=20\text{ N/m}.\) If the spring is pulled so that its length gets doubled, what is the elastic potential energy in the spring?

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An object attached to a spring lies on a frictionless horizontal floor. A force \(F=40\text{ N}\) is applied on the object towards the right. If the spring constant is \(k=10\text{ N/m},\) what is the elastic potential energy of the spring when it reaches its maximum length?

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In the figure above, an object of mass \(m=4\text{ kg}\) is sliding towards a spring with a speed of \(v=6\text{ m/s}\) on a frictionless horizontal floor. If the spring constant is \(k=1\text{ N/m},\) what is the maximal change in the spring's length?

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The spring in a monster truck's suspension is shortened by \(4\text{ m}\) from its original length. If the spring constant is \(k=2\text{ N/m},\) what is the elastic potential energy of the spring?

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