A cork gun contains a spring whose spring constant is 18.0 N/m. The spring is compressed by a...

Question:

A cork gun contains a spring whose spring constant is 18.0 N/m. The spring is compressed by a distance ?X = 6.0 cm and used to propel a cork of mass 7.66 g from the gun. Assuming the cork is released when the spring passes through its equilibrium position (Xeq), what is the speed of the cork as it is released from the spring? Suppose now that the cork temporarily sticks to the spring, causing the spring to extend 3.0 cm beyond its equilibrium position before separation occurs. What is the speed of the cork as it is released from the spring in this case?

Conservation of Energy

The law of Conservation of Mechanical Energy states that the total amount of mechanical energy, in a closed system in the absence of dissipative forces such as friction and air resistance, remains constant. This means that potential energy can become kinetic energy, or vice versa, but energy cannot be created nor destroyed.

Answer and Explanation: 1

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Let:

  • {eq}k = 18.0\ \frac{N}{m} {/eq} be the spring constant
  • {eq}x_1 = 6\ cm\ =\ 0.06\ m {/eq} be the deformation of the spring in the first part of...

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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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