A 10.0-kg block of metal measuring 12.0 cm by 10.0 cm by 10.0 cm is suspended from a scale and immersed in water as shown. The 12.0-cm dimension is vertical, and the top of the block is 5.00 cm below the surfaceof the water. (a) What are the magnitudes of the forces acting on the top and on the bottom of the block due to the surrounding water? (b) What is the reading of the spring scale? (c) Show that the buoyant force equals the difference between the forces at the top and bottom of the block.

A large rectangular cube made of wood has the follow dimentions: a height, h = 2m, and an area od A = 0.25m^2. The wood that the cube is made of has a density of 800kg/m^3. The cube is then place vertically in water where it floats to rest. The density of the water is 1000kg/m^3. Then the cube is pushed down slightly (by a distance y) and released. The resulting motion is simple harmonic motion.    A) Determine the mass of the cube. B) Determine the depth,d, that the cube will float. C) If the cube is pushed further down under water by a distance, y, write an expression for the net force on the block in terms of: y,A,g,p. Where g=9.8m/s^2 D)Use the expression for the net forcee found in part C), and apply newton's second law (Fnet = ma) to the situation of the cube that is being pushed down slightly to derive an equation for the vertical accerlation (ay) (hint: dont forget to pick a positive direction)  Compare your results from part D) to the equation for simple harmonic motion using…

A polished pumice stone has a weight density of 40.02 lb/ft^3 (a) What is the weight of this stone? (b) If it is immersed in water (weight density 62.4 lb/ft^3), what is the bouyant force exerted by the water on the pumice stone? (c) What is the net force on the stone?

A spherically shaped balloon has a radius of 12 m, and is filled with helium. How much extra mass can a cargo lift,assuming that the skin and the cargo of the balloon have a mass of 950 kg? Neglect the buoyant force on the cargovolume itself. (The density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3)

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 U-tube open at both ends is partially filled with water (Figure a). Oil having a density of 790 kg/m³ is then poured into the right arm and forms a column L = 5.18 cm high (Figure b). Shield Po FU h Water Oil a (a) Determine the difference h in the heights of the two liquid surfaces. cm (b) The right arm is then shielded from any air motion while air is blown across the top of the left arm until the surfaces of the two liquids are at the same height (Figure c). Determine the speed of the air being blown across the left arm. Take the density of air as 1.20 kg/m³. m/s

The density of ice is 917 kg/m^3, and the approximate density of the seawater in which an iceberg floats is 1025 kg/m^3. What fraction of the iceberg is beneath the water surface?

A cube of wood having an edge dimension of 22.1 cm and a density of 651 kg/m³ floats on water. (a) What is the distance from the horizontal top surface of the cube to the water level? cm (b) What mass of lead should be placed on the cube so that the top of the cube will be just level with the water surface? kg

A spherically shaped balloon has a radius of 11.5 m, and is filled with helium. How much extra mass can a cargo lift,assuming that the skin and the cargo of the balloon have a mass of 800 kg? Neglect the buoyant force on the cargovolume itself.(The density of air is 1.29 kg/m3 and the density of helium is 0.179 kg/m3)

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.