A mass m₁ = 70 kg is balanced by a mass m2 = 1200 kg on an oil hydraulic lift. The diameter of the piston on which mass m2 is standing on is d₂ = 2m. (1) What is the diameter d₁ of the piston on which mass m₁ is standing? (2) A third mass m3 is added on top of mass m₁. The piston sinks 35 cm. Determine m3.
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- The plastic tube in the figure has a cross-sectional area of 4.71 cm². The tube is filled with water until the short arm (of length d = 0.799 m) is full. Then the short arm is sealed and more water is gradually poured into the long arm. If the seal will pop off when the force on it exceeds 8.51 N, what total height of water in the long arm will put the seal on the verge of popping? Number UnitsA block of wood has a mass of 3.49 kg and a density of 571 kg/m3. It is to be loaded with lead (1.13 × 104 kg/m³) so that it will float in water with 0.905 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 Units This answer has no units ° (degrees) (b) Number i Units kg m (oIn the process of changing a flat tire, a motorist uses a hydraulic jack. She begins by applying a force F1 = 5 N to the input piston. As a result, the output plunger applies a force of F2 = 340 N to the car. The height difference between the input piston and the output plunger can be neglected. What is the ratio A2/A1 of the plunger and piston areas?
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