Question

Enter an expression for the force constant for the floating raft, in terms of L, g, and the density of water, ρ.

Answer 1

K = ρL²g

Step-by-step 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.

`F = V_(\omega) \rho_(\omega) g= A y \rho_(\omega) g`

where;

A = L²

`\rho_(\omega) = \rho`

F = ky.

Then,

`Ay \rho g = ky`

`L^2y \rho g = ky`

Divide both sides by y

K = ρL²g