# A block of mass M = 2 kg slides back and forth on a one-dimensional frictionless surface between...

## Question:

A block of mass M = 2 kg slides back and forth on a one-dimensional frictionless surface between two springs, of spring constant {eq}\rm k_{left} = 30 \ N/m {/eq} and {eq}\rm k_{right} = 54 \ N/m {/eq}. When the block hits the left spring it compresses a maximum distance of {eq}\rm d_{left, \ max} = 0.7 \ m {/eq}. Suppose instead that there is friction between the block and the surface and that the distance between the relaxed springs is d = 2.8 m. The block is initially placed against the left spring which is compressed by 0.7 m and then released. The first time the block hits the right spring, it is compressed by 0.41 m. Find the coefficient of kinetic friction between the block and the table.

## Hooke's Law:

Hooke's law says that the force needed to compress or extend a spring by a distance x from its equilibrium position is given by the expression

$$F \ = \ k \ x$$

where k is the spring constant.

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We should first note that the direction of the restoring force {eq}F_{L} {/eq} on the left spring after being compressed by the block acts in the...

Hooke's Law & the Spring Constant: Definition & Equation

from

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.