# A spring has a natural length of 20 cm. If a 25 N force is required to keep it stretched to a...

## Question:

A spring has a natural length of 20 cm. If a 25 N force is required to keep it stretched to a length of 30 cm.

a. Find the spring constant in Hooke's law.

b. Find the work required to stretch it from 20 cm to 40 cm using result from part (a).

## Hooke's Law::

Hooke's law describes how the applied force affects the length of a certain spring system. According to this law, the force is linearly proportional to the change in the length with the spring constant as the constant of proportionality.

## Answer and Explanation: 1

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(a) The equation for Hooke's law is given by

{eq}\displaystyle F = -kx {/eq}

where k is the spring constant.

Here, we have

{eq}\displaystyle F =...

See full answer below.

#### Learn more about this topic: 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.