You are designing a game for small children and want to see if the ball's maximum speed is...

Question:

You are designing a game for small children and want to see if the ball's maximum speed is sufficient to require the use of goggles.

In your game, a 15.0-g ball is to be shot from a spring gun whose spring has a force constant of 600 N/m. The spring will be compressed 5.00 cm when in use.

a) How fast will the ball be moving as it leaves the gun and how high will the ball go if the gun is aimed vertically upward?

b) What would be your recommendation on the use of goggles?

The Spring And It's Elastic Potential Energy :

When a spring is stretched or compressed it exerts a restoring force opposing the deformation. When a spring of spring constant {eq}\displaystyle { k } {/eq} is stretched or compressed by {eq}\displaystyle {x } {/eq}, the restoring force has the form {eq}\displaystyle { F_{res}=-k x } {/eq}. The negative sign indicates that the force is directed opposite to the displacement. Hence to deform the spring work has to be done against this force. The work done is stored as the spring's elastic potential energy.

Answer and Explanation:

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(a) The force constant of the spring in the toy gun is : {eq}\displaystyle {k=600 \ N/m } {/eq}

The maximum compression in the spring when it is in...

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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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