A solid object has a mass of 0.5 kg and a volume of 100 cm^3. If the object is submerged in water, what is the buoyant force acting on the object? (Assume the density of water is 1000 kg/m^3 and g = 9.8 m/s^2.)
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- A 10-kg piece of aluminum (ρ = 2.70 x 10^3 kg/m^3) sits at the bottom of a pool, right next to a 10-kg piece of lead (ρ = 11.3 x 10^3 kg/m^3). Thinking in terms of their volumes (V), which one must have the greater buoyant force on it? A) the aluminum B) the lead C) Both have the same buoyant force. D) It cannot be determined without knowing their exact volumes.Suppose your body has a density of 988 kg/m3. part a) What fraction of you will be submerged when floating gently in freshwater (with density 1000 kg/m3)? (hint: vsf/vo) part b) What fraction of you will be submerged when floating gently in salt water (with a density of 1027 kg/m3)?A hollow plastic sphere is held below the surface of a lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.650 m3 and the tension in the rope is 900 N. (a) Calculate the force of pushing water on the sphere. (b) What is the mass of the sphere? (c) The cord breaks and the sphere rises to the surface. When the sphere stops, what fraction of its volume will be submerged?
- A string holds a 100-kg Iron sphere 2 meters below the surface of the Ocean. If the volume of water displaced by the sphere is 0.05 m3, what is the tension in the string? The density of saltwater is 1025 kg/m3. (Hint: Make a force diagram of the string and sphere)A metal has mass of 8 kg when the mental is hanging from a spring scale and the totally submerged in water, the scale needs 3.30kg. What is the density of the mental? (water density=1000kg/m^3) (A)2.80x10^3kg/m^3 (B)5.80x10^3kg/m^3 (C)1.70x10^3kg/m^3 (D)3.30x10^3kg/m^3A cube of wood having an edge dimension of 18.7 cm and a density of 651 kg/m° 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
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- What is the buoyant force of an object with a volume of 0.5 m3 that is fully submerged in water? The density of water is 1000 kg/m3. O 500 N O 420 N 4,900 N 9,800 NIf the human body has an average density of 971 kg/m3, what fraction of a person is submerged when floating gently in fresh water?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.