Ex. 1: Calculate the force required to take away flat circular plate of radius of 0.01 m from the surface of water. The surface tension of water is 0.075 N / m.
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- Suppose that a solid cube of some material floats motionless on the surface of an oil puddle at a service station with 65.1% of its volume submerged. The density of the oil is 3.903 kg/m3. What is the density ? of the cube's material?a) Calculate the buoyant force (in N) on a 2.40 L helium balloon. N (upward) (b) Given the mass of the rubber in the balloon is 1.90 g, what is the net vertical force (in N) on the balloon if it is let go? You can neglect the volume of the rubber. N (upward)A cube of mass 2.5 kg and 12 cm on a side is at the bottom of a pool of water resting on a scale. a) What does the scale read in N? A massless balloon full of air is attached to the object (assume the air is at atmospheric pressure). b) What is the radius of the balloon such that the scale reads 0 N?
- 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 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?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 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.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 flat-bottomed aluminum fishing boat has a mass of 60 kg and an area of 4.0 m2. When it is launched into the water (density 1,000 kg/m3), how far (in m) below the surface of the water does the bottom of the boat sink? B. A fisherman and his buddy climb into the boat. If they, along with their gear, have a mass of 300 kg, how much farther (in m) does the boat sink into the water?