A uniform cube (side length 10.0 cm) is in equilibrium on top of water (density 1000 kg/m3), with half of its volume immersed. What is the density of the cube? O 500 kg/m3 O 250 kg/m3 O 1000 kg/m3 O 750 kg/m3
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- To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in water. She finds that the specimen weighs twice as much in air as it does in water. The density of the solid part of the specimen is 5.95 × 103 kg/m3. What fraction of the specimen’s apparent volume is solid?A homogeneous pulley with two grooves consists of two wheels which turn together as one around the same axis. The moment of inertia of the two wheels together is ICM = 40 kg m2. The radii are: R1 = 1.2 m and R2 = 0.4 m. The masses that hang on both sides of the pulley are m1 = 36 kg and m2 = 12 kg. We will assume that the masses of the ropes are negligible. Determine the angular acceleration of the pulley, acceleration of the masses, and the tensions of the ropes.A block of wood has a mass of 3.88 kg and a density of 647 kg/m³. It is to be loaded with lead (1.13 x 104 kg/m³) so that it will float in water with 0.823 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? (a) Number i (b) Number i Units Units
- To verify her suspicion that a rock specimen is hollow, a geologist weighs the specimen in air and in water. She finds that the specimen weighs twice as much in air as it does in water. The density of the solid part of the specimen is 2.02 × 103 kg/m3. What fraction of the specimen’s apparent volume is solid?A partially filled bucket of water sits on a scale and it’s weight is 3.8 N. A piece of metal is suspended from a thread and completely immersed in the bucket ( but does not touch the bottom). The scale now reads 6.8 N. Find the volume of the metal.A cubic block of steel that measures 12. cm on a side is suspended in a saltwater bath by a vertical string. The steel block is completely submerged, but it does not touch the bottom surface. The string applies just enough force to keep the block from sinking further. What force does the string apply to support the block? Density of steel: 8050 kg/m3 Density of saltwater: 1030 kg/m3
- A partially filled bucket of water sits on a scale and its weight is 3.8 N. A piece of metal is suspended from a thread and completely immersed in the bucket (but does not touch the bottom). The scale now reads 7.3 N. Find the volume of the metal.A 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? kgX A 1m tall cylinder is filled with half water and half oil. What is the total pressure (in Pa) at the base of the cylinder? Density of water is 1000 kg/m^3 and density of oil is 900 kg/m^3. * 40,000 5,000 9,000 9,500 Correct answer
- Physics sample problems about vectors. Thought I knew how to do them but keep getting wrong answers.A platinum sphere with radius 0.0179 m is totally immersed in mercury. Find the weight of the sphere, the buoyant force acting on the sphere, and the sphere's apparent weight. The densities of platinum and mercury are 2.14 x 10“ kg/m³ and 1.36 x 10ª kg/m³, respectively. weight: N buoyant force: N apparent weight:A block of wood has a mass of 3.94 kg and a density of 545 kg/m³. It is to be loaded with lead (1.13 x 104 kg/m³) so that it will float in water with 0.924 of its volume submerged. What mass of lead is needed if the lead is attached to (a) the top of the wood and (b) the bottom of the wood? (a) Number i (b) Number i Units Units