# 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.

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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 =...

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.