A tank of water (SG=1.0) has a gate in its vertical wall 5 m high and 3 m wide. The top edge of the gate is 2 m below the surface of the water. What is the hydrostatic force on the gate?

A 1.2 m3 block aluminum (density 2700 kg/m3) is lowered into seawater (density 1025 kg/m3) by a cable attached to a ship.  A) What is the tension in the cable before the block hits the water if it is lowered at a constant rate?  B) What is the tension while the block is lowered at a constant rate in the seawater? C) Later the block is pulled back up by the cable. What is the tension in the cable if the block is pulled up with an acceleration of 3 m/s2? (Neglect resistance from the water)

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 vertical plate is submerged in water (the surface of the water coincides with the x-axis). Find the force exerted by the water on the plate. (The weight density of water is 62.4 lb/ft³.) 24 1 y (ft) -1+ -2+ -3+ -44 x (ft) 27

A block of wood with a mass of 0.57 kg is floating on the surface of a lake. What is the magnitude of the buoyant force acting on the block?

A person is laying flat on their stomach while tanning at the beach. What is the force on the person's back from the pressure of the atmosphere? Approximate the surface of the person's back as a 0.6 m x 0.5 m rectangle and recall that atmospheric pressure is Patm = 1.01 x 105 N/m2.

Two metal blocks are attached by a cable as shown in Figure P10.50 and are floating near the surface of a lake. If the volumes are V1 = 3 m3 and V2 = 1.23 m3 , what is the total buoyant force on the two blocks?

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 6.2 m^3 object floats in water with 46% of its volume above the waterline. What is the force the Earth exerts on the object? The density of water is 1000 kg/m^3.