Answer:
d = 0.62m
Explanation:
To figure out the distance the bungee cord will stretch, you have to find the spring constant k of the cord. To find the spring constant, I will use the concept of energy conservation.
The energy with the father in law on the platform at height h₁:
(1) [tex]E=mgh_1[/tex]
The energy with him at the lowest point h₂:
(2) [tex]E=mgh_2+\frac{1}{2}kx^2[/tex]
Setting both equations equal and solving for k:
[tex]k=(h_1-h_2)\frac{2mg}{x^2}[/tex]
The distance d the bungee cord will stretch with a force F:
[tex]d = \frac{F}{k}=\frac{Fx^2}{2mg(h_1-h_2)}[/tex]
