A cube of mass m = 580 kg is totally immersed in a liquid of density ρ = 1.04 g/cm3. The cube has an edge length of L = 1.7 m and is held at a depth of d = 1.8 m from the top of the cube to the surface of the liquid. Calculate the magnitude of the buoyant force, in newtons, that the liquid exerts on the cube.

In the figure, a cube of edge length L = 0.633 m and mass 1040 kg is suspended by a rope in an open tank of liquid of density 1.03E+3 kg/m³. 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 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 Archimede's principle. (a) Number 18340.3 (b) Number i 3992.2 (c) Number i 14348.1 (d) Number i 3992.2 Units L N Units N Units Units N N L/2 ◄► ◄►

A hollow plastic cube of side length 80 cm is held below the surface of a lake by a cord anchored to the bottom of the lake. The cube has a mass of 85 kg and the density of the lake water is 1025 kg/m. a) What is the buoyant force exerted on the cube by the lake water? b) If the top surface of the cube is 25.4 m below the surface of the lake, what is the gauge pressure at the top surface of the cube? P. = 1.013 x 10 Pa. atm c) What is the force on the top face of the cube? Note the top face will have a square cross section and the length of the side is 80 cm.

(a) A submersible vehicle is in a lake at a depth of 32.4 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 ✕ 103 kg/m3, and the air above is at a pressure of 101.3 kPa.   (b) The submersible vehicle has a circular window with a diameter of 40.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.)

(a) A submersible vehicle is in a lake at a depth of 26.6 m. What is the absolute pressure (in Pa) at this depth? The density of the water in the lake is 1.00 ✕ 103 kg/m3, and the air above is at a pressure of 101.3 kPa. ____Pa   (b) The submersible vehicle has a circular window with a diameter of 40.0 cm. What force (in N) is exerted by the water on the window of the vehicle at the depth from part (a)? (Enter the magnitude.) ____ N

A cube with edge length L = 0.22 m and density ρc = 0.93×103 kg/m3 floats in equilibrium in a liquid of density ρl = 1.9×103 kg/m3, with the top of the cube a distance d above the liquid’s surface. The given values of edge length and densities are L = 0.22 m, ρc = 0.93×103 kg/m3, and ρl = 1.9×103 kg/m3. With these values, how high, in meters, is the top of the cube above the liquid’s surface?

A spherical weather balloon is filled with hydrogen until its radius is 4.10 m. Its total mass including the instruments it carries is 16.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m3. kN (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? kN (c) Why does the radius of the balloon tend to increase as it rises to higher altitude? Because the external pressure     with increasing altitude.

A boat displaces a volume of 4.50 m^3 of water. The density of water is 1000 kg/m^3. What is the magnitude of the buoyant force acting on the boat?

(a) Calculate the absolute pressure at the bottom of a fresh-water lake at a depth of 24.4 m. Assume the density of the water is 1.00 ✕ 103 kg/m3 and the air above is at a pressure of 101.3 kPa. Pa(b) What force is exerted by the water on the window of an underwater vehicle at this depth if the window is circular and has a diameter of 42.0 cm? N

A spherical weather balloon is filled with hydrogen until its radius is 4.30 m. Its total mass including the instruments it carries is 18.0 kg. (a) Find the buoyant force acting on the balloon, assuming the density of air is 1.29 kg/m³. 4.21 kN (b) What is the net force acting on the balloon and its instruments after the balloon is released from the ground? X kN (c) Why does the radius of the balloon tend to increase as it rises to higher altitude? Because the external pressure decreases v with increasing altitude.