A runaway railroad car with mass 3.0 \times 10^5 kg coasts across a level track at 2.0 m/s when...

Question:

A runaway railroad car with mass {eq}3.0 \times 10^5 {/eq} kg coasts across a level track at 2.0 m/s when it collides elastically with a spring-loaded bumper at the end of the track. If the spring constant of the bumper is {eq}2.0 \times 10^6 {/eq} N/m, what is the maximum compression of the spring during the collision?

Compression of Spring:

It requires some work to compress a spring, and this work stores in the spring as potential energy. That's why spring can be a good shock absorber. The railroad car hit the spring with some kinetic energy, and then the kinetic energy stored in the spring as potential energy.

Answer and Explanation:

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The spring compresses maximum when all of the kinetic energy transferred to the spring.

Using the conservation of energy we can say, change in the...

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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.


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