Halliday, Resnick & Walker — Fluids: Problem 71

71 In Fig. 14-47, a cube of edge length \( L = 0.500 \text{ m} \) and mass \( 450 \text{ kg} \) is suspended by a rope in an open tank of liquid of density \( 1030 \text{ kg/m}^3 \). Find (a) the magnitude of the total downward force on the top of the cube from the liquid and the atmosphere, assuming atmospheric pressure is \( 1.00 \text{ atm} \), (b) the magnitude of the total upward force on the bottom of the cube, and (c) the tension in the rope. (d) Calculate the magnitude of the buoyant force on the cube using Archimedes’ principle. What relation exists among all these quantities?