a box that has a weight of 40 n is hung from a spring. the spring constant of the spring is 400 n/m. how…

Explanation:

Step1: Recall Hooke's Law

$F = kx$, where $F$ is the force, $k$ is the spring - constant, and $x$ is the displacement. We need to solve for $x$.

Step2: Rearrange the formula for $x$

$x=\frac{F}{k}$. Given $F = 40\ N$ and $k = 400\ N/m$. $x=\frac{40\ N}{400\ N/m}=0.1\ m$.

Step3: Convert meters to centimeters

Since $1\ m = 100\ cm$, then $x = 0.1\ m\times100=10\ cm$.

Answer:

10 cm