Luke is trying to catch a pesky animal that keeps eating vegetables from his garden. He is...

Question:

Luke is trying to catch a pesky animal that keeps eating vegetables from his garden. He is building a trap and needs to use a spring to close the door to his trap. He has a spring in his garage and he wants to determine the spring constant of the spring. To do this, he hangs the spring from the ceiling and measures that it is 19.1 cm long. Then he hangs a 1.10 kg brick on the end of the spring and it stretches to 40.1 cm.

a. When the displacement is 2.55 cm from the equilibrium position, what is the speed of the brick?

b. How long will it take for the brick to oscillate five times?

Spring:

The spring is the mechanical equipment that stores the energy into it, in the form of potential energy. This energy varies as the stiffness of the spring changes, and also due to displacement of spring.

Answer and Explanation:

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Given data

  • The mass of the brick is {eq}m = 1.10\;{\rm{kg}} {/eq}.
  • The length of the spring is {eq}L = 19.1\;{\rm{cm}} = 19.1\;{\rm{cm}} \times...

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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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