# Suppose that 4 J of work is needed to stretch a spring from its natural length of 36 cm to a...

## Question:

Suppose that 4 J of work is needed to stretch a spring from its natural length of 36 cm to a length of 47 cm.

(a) How much work is needed to stretch the spring from 41 cm to 45 cm?

(b) How far beyond its natural length will a force of 40 N keep the spring stretched?

## Hooke's Law:

In the given problem, we need to apply the Hooke's Law. We are given with the work done, so from that, we will get the spring constant k. Once we get that, we can use the formula of Hooke's law to get the force required to stretch the spring to the required length. The formula is {eq}F=k x {/eq}

## Answer and Explanation:

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We are given with:

{eq}x = (0.47-0.36) = 0.11~ metre\\ WD= 4~J\\ k {/eq} is the spring constant.

A)

We are given the work done required to...

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#### Learn more about this topic: Hooke's Law & the Spring Constant: Definition & Equation

from

Chapter 4 / Lesson 19
202K

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.