# A box of mass m = 6.60 kg is sliding across a horizontal frictionless surface with an initial...

## Question:

A box of mass m = 6.60 kg is sliding across a horizontal frictionless surface with an initial speed vi = 2.20 m/s when it encounters a spring of constant k = 3000 N/m. The box comes momentarily to rest after compressing the spring some amount xc. Determine the final compression xc of the spring.

## Spring Potential Energy:

Potential energy can take several forms. If we compress a spring, there is potential energy stored in the spring. When the spring is released, that energy is converted back into kinetic energy.

The formula for spring potential energy is:

{eq}U = \frac{1}{2}kx^2 {/eq}

## Answer and Explanation: 1

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Let's compare the energy of this system when the box is moving and when it has momentarily come to rest. By conservation of energy, the total energy...

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#### Learn more about this topic: Practice Applying Spring Constant Formulas

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Chapter 17 / Lesson 11
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In this lesson, you'll have the chance to practice using the spring constant formula. The lesson includes four problems of medium difficulty involving a variety of real-life applications.