The 5-lb box slides on the surface for which ?k = 0.3. The box has a velocity v = 15 ft/s when it...

Question:

The 5-lb box slides on the surface for which ?k = 0.3. The box has a velocity v = 15 ft/s when it is 2 ft from the plate. If the box strikes the smooth plate, which has a weight of 21 lb and is held in position by an unstretched spring of stiffness k = 380 lb/ft, determine the maximum compression imparted to the spring. Take e = 0.8 between the box and the plate. Assume that the plate slides smoothly.

Spring force.

Spring force is given by Hooke's law, which states that the force required to extend or compress a spring is directly proportional to the direction it is stretched in.

Answer and Explanation: 1

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Given data:

  • Weight of the box, {eq}{W_b} = 5\;{\rm{lb}}. {/eq}
  • Weight of the plate, {eq}{W_p} = 21\;{\rm{lb}}. {/eq}
  • Velocity of the box, {eq}v =...

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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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