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An unstretched horizontal spring, of force constant 15N/m, is mounted at the edge of a 1m high...

Question:

An unstretched horizontal spring, of force constant 15N/m, is mounted at the edge of a 1m high table. The spring is compressed 4cm from the UEP in order to shoot an 18.3g marble off the edge of the table, how far from the base of the table will the marble land? (the marble is against the spring at the compressed EP and is released at the edge of the table when the spring is at UEP)

Spring Potential Energy:

Consider an object attached to a compressed spring. When this object is allowed to move, it will oscillate back and forth as the spring stretches and compresses. Where did the energy needed for this motion come from? It must have been stored as potential energy in the spring's original configuration.

The energy stored in a stretched or compressed spring is spring potential energy, U.

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

Here k is the spring constant and x is the displacement from the spring's equilibrium (unstretched) position.

Answer and Explanation:

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The answer is 59.2 cm.

First, let's find out how fast the marble is moving when it is launched from the table. We can do this by comparing its energy...

See full answer below.


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

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Chapter 4 / Lesson 19
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After watching this video, you will be able to explain what Hooke's Law is and use the equation for Hooke's Law to solve problems. A short quiz will follow.


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