# A 3.0 kg block slides with a speed of 1.3 m/s on a frictionless horizontal surface until it...

## Question:

A 3.0 kg block slides with a speed of 1.3 m/s on a frictionless horizontal surface until it encounters a spring. What initial speed should the block have to compress the spring by 1.2 cm? Express your answer using two significant figures.

## The potential energy stored in the spring:

When a spring is stretched or compressed by some distance than some work has to be done in order to stretch the spring and that work is stored in the spring in the form of spring potential energy.

For the expression of spring potential energy:

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

Here, the spring constant is {eq}k {/eq}

Displacement of spring is {eq}x {/eq}

## Answer and Explanation: 1

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Given:

Mass of the block is {eq}m=3\ kg {/eq}

Speed of the block before compressing the spring is {eq}v_1=1.3\ m/s {/eq}

Since initial...

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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.