Answer to Question #285462 in Physics for haasggdfnsd

Question

consider a block of wood that floats with 60 percent of its volume above water. (The volume of block is 0.5 m³.) 16. What is the density of the block of wood if the density water is 1000 kg/m³? A. 40 kg/m³ B. 400 kg/m³ C. 60 kg/m³ D. 600 kg/m³ 17. What is its mass? A. 200 kg B. 300 kg C. 400 kg D. 600 kg 18. What volume of water did the block of wood displace? A. 0.1 m³ B. 0.2 m³ C. 0.3 m³ D. 0.5 m³ 19. What is the buoyant force of water on the block of wood? A. 1960 N B. 2940 N C. 3920 N D. 4900 N 20. Suppose this block of wood is placed in a liquid of density 500 kg/m³. What will happen to the block of wood? A. It will sink. B. It will be partially submerged. C. It will float with no part of it above the surface of liquid. D. All of these are possible.

Answer 1

16. 400 kg/m³:

$$\rho_bV_bg=\rho_w·0.4V_bg,\\ \rho_b=0.4\rho_w=400\text{ kg/m}^3.$$

17. The mass:

$$m=\rho_bV_b=200\text{ kg}.$$

18. The volume of water is the same as the volume of block submerged, or 0.5 m³

19. $F=\rho_w·0.4V_bg=1960\text{ N}.$

20. It will be partially submerged.