A container is partially filled with a known amount of fluid that has a density of 983 kg/m3.  When a solid object is placed into the container, the fluid level rises by 0.585 litres.  What is the magnitude of the buoyant force (in N) acting on the solid object

Pistons are fitted to two cylindrical chambers connected through a horizontal tube to form a hydraulic system. The piston chambers and the connecting tube are filled with an incompressible fluid. The cross-sectional areas of piston 1 and piston 2 are A1 and A2, respectively. A force F1 is exerted on piston 1. Rank the resultant force F2 on piston 2 that results from the combinations of F1, A1, and A2 given from greatest to smallest. If any of the combinations yield the same force, give them the same ranking. (Use only ">" or "=" symbols. Do not include any parentheses around the letters or symbols.) A. F1 = 6.0 N; A1 = 0.3 m2; and A2 = 0.6 m2B. F1 = 3.0 N; A1 = 0.3 m2; and A2 = 0.15 m2C. F1 = 3.0 N; A1 = 0.6 m2; and A2 = 1.2 m2D. F1 = 6.0 N; A1 = 0.15 m2; and A2 = 0.6 m2E. F1 = 6.0 N; A1 = 0.15 m2; and A2 = 0.3 m2F. F1 = 3.0 N; A1 = 0.6 m2; and A2 = 0.3 m2

You come across an open container that is filled with two liquids. Since the two liquids have different densities, there is a distinct separation between them. Water, which has a density of ?w=1.00×103 kg/m3, fills the lower portion of the container to a depth of 0.215 m. The fluid that is floating on top of the water is 0.307 m deep. If the absolute pressure on the bottom of the container is 1.049×105 Pa, what is the density, ?l, of the unknown fluid? The acceleration due to gravity is ?=9.81 m/s2 and atmospheric pressure is ?0=1.013×105 Pa.

A metal block, with a volume of 55 cm² is hanging from a massless string and completely submerged in water. The tension in the string is 43 N. What is the mass of the block? The density of water is 1000 kg/m² To be clear, the block is entirely under water Hint: Apply Newton's 2nd law to the block. O 60 69 O 494 g O 385 9 O.440 g O 66 g