A cannonball of mass 125 kg is fired into a sponge-tree. What value of k must the sponge material...

Question:

A cannonball of mass 125 kg is fired into a sponge-tree. What value of k must the sponge material have for the ball to come to a stop in the 0.2 m of sponge thickness? The initial velocity of the cannonball is 300 m/s. There is no friction.

Spring:

The spring is a mechanical device that can store and release mechanical energy. The energy stored in the spring is called the spring potential energy. The spring energy is the result of the work done in deforming it. This energy is proportional to the square of the change in the length of the spring. The spring constant or the stiffness constant determines how hard is to deform the spring.

Answer and Explanation:

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Given:

  • The mass of the ball is, {eq}m = 125\ \text{kg} {/eq}
  • The stopping distance is, {eq}d = 0.2\ \text{m} {/eq}
  • The initial velocity of the...

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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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