(Solved): (10)   Figure (a) below shows a solid cube hanging from a spring scale, with the scale measu ...

(10)

 

Figure (a) below shows a solid cube hanging from a spring scale, with the scale measuring \( 5.10 \mathrm{~N} \). In figure (b), the suspended cube is submerged in water, and the scale now reads \( 3.36 \mathrm{~N} \). What is the density (in \( \mathrm{kg} / \mathrm{m}^{3} \) ) of the cube? (Hint: the free-body diagram to the right of figure (b) shows the forces acting on the cube, with \( \overrightarrow{\mathbf{B}} \) and \( \overrightarrow{\mathbf{T}} \) pointing up and \( \overrightarrow{M \mathbf{g}} \) pointing down.)