A cubical block of wood of side and density floats in water of density

PHYSICS · Single correct · AP · Physics 1: Algebra-based · Fluids · Fluids

Problem

A cubical block of wood of side

a

and density

\rho

floats in water of density

2\rho

. The lower surface of the cube just touches the free end of a massless vertical spring of force constant

K

fixed at the bottom of the vessel. Find the weight

W

that needs to be put over the block so that it is completely immersed in water without wetting the weight. (A)

a(a^2\rho g + K)

(B)

a(a^2\rho g + 2K)

(C)

a\left(\frac{a^2\rho g}{2} + 2K\right)

(D)

a\left(a^2\rho g + \frac{K}{2}\right)