a bungee cord with a spring constant of 800 $\frac{n}{m}$ stretches 6 meters at its greatest displacement…
a bungee cord with a spring constant of 800 $\frac{n}{m}$ stretches 6 meters at its greatest displacement. how much elastic potential energy does the bungee cord have? the bungee cord has j of elastic potential energy.
Answer
Explanation:
Step1: Recall elastic - potential - energy formula
The formula for elastic potential energy is $U = \frac{1}{2}kx^{2}$, where $k$ is the spring constant and $x$ is the displacement.
Step2: Identify given values
We are given that $k = 800\frac{N}{m}$ and $x = 6m$.
Step3: Substitute values into formula
$U=\frac{1}{2}\times800\times6^{2}$. First, calculate $6^{2}=36$. Then, $\frac{1}{2}\times800 = 400$. So, $U = 400\times36$. $U = 14400J$.
Answer:
$14400$