A 1 \ kg mass hangs motionless from a spring with spring constant k = 6 \ N/m. a) How far does...

Question:

A {eq}1 \ kg {/eq} mass hangs motionless from a spring with spring constant {eq}k = 6 \ N/m {/eq}.

a) How far does this stretch the spring?

b) What is the force exerted on the spring by the mass?

c) What is the force exerted on the mass by the spring?

Hooke's Law:

Assume a spring of spring constant (k) is fixed under a skateboard and it has been compressed by a distance (x) when an object of weight (W) is kept on the skateboard. In this example, the spring exerts a force (restoring force) on the object in the vertically upward direction.

Answer and Explanation:

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Given data:

  • Mass of the suspended object, {eq}m = 1 \ kg {/eq}
  • Spring constant, {eq}k = 6 \ N/m {/eq}

Part (a):

Let the extension in the spring be...

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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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