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yuradex [85]
3 years ago
12

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

Physics
1 answer:
andriy [413]3 years ago
3 0

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.

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

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