Answer:
K = ρL²g
Explanation:
Consider L as the length of the raft inside the water when the raft is displaced through additional distance y;
Then:
F = upthrust ( restoring force) = weight of the liquid displaced.
[tex]F = V_{\omega} \rho_{\omega} g= A y \rho_{\omega} g[/tex]
where;
A = L²
[tex]\rho_{\omega} = \rho[/tex]
F = ky.
Then,
[tex]Ay \rho g = ky[/tex]
[tex]L^2y \rho g = ky[/tex]
Divide both sides by y
K = ρL²g
