The spring's force constant is 26.25 N/m

<h3>Further explanation</h3>
<em>Hooke's Law states that the length of a spring is directly proportional to the force acting on the spring.</em>

<em>F = Force ( N )</em>
<em>k = Spring Constant ( N/m )</em>
<em>Δx = Extension ( m )</em>

The formula for finding Young's Modulus is as follows:

<em>E = Young's Modulus ( N/m² )</em>
<em>F = Force ( N )</em>
<em>A = Cross-Sectional Area ( m² )</em>
<em>Δx = Extension ( m )</em>
<em>x = Initial Length ( m )</em>
Let us now tackle the problem !

<u>Given:</u>
mass of block = m = 0.450 kg
extension = x = +0.240 m
acceleration = a_x = -14.0 m/s²
velocity = v_x = +4.00 m/s
<u>Asked:</u>
spring's force constant = k = ?
<u>Solution:</u>





<h3>Learn more</h3>

<h3>Answer details</h3>
Grade: College
Subject: Physics
Chapter: Elasticity