Hydraulic balance. An m = 60.0 [kg] box was placed on top of a 2.75 [m²] massless platform. Given that h = 1.19 [m] and the liquid's density is p = 789 [kg/m³], what was the mass of the counterweight M placed on the opposite 0.250 [m²] platform to balance the system? m M h ↓

A force of F₁ = 355 N is applied to a hydraulic jack pump piston with a diameter of D₁ = 0.0190 m. What is the magnitude of the output force F2 (in N) if the lifting piston has a diameter of D₂ = 0.143 m [round your final answer to zero decimal places]? {Acircle = (π/4)d²} F₁ A₁ F₂ A₂

You find an antique car jack like the one shown in the figure at an estate sale. After cleaning it up, you establish that the amount of friction is negligible and that the input and output pistons have a diameter of 0.30 in. and 1.9 in., respectively. Determine the force F needed to support a 1000-lb load at the output piston. 24.9 × Does the oil in the hydraulic system of the jack obey Pascal's Law? How is the pressure provided by the oil at the output piston related to the pressure applied to the oil at the input piston? Can you write an expression for the input and/or output force in terms of the input and/or output pressure and the appropriate area? Notice that the construction of the jack makes the point where the jack handle is attached to the jack base a convenient pivot point about which to determine the torques. lb 1000 lb 3.0 in. 12 in.- input piston output piston

A force of F1 = 345 N is applied to a hydraulic jack pump piston with a diameter of D1 = 0.0168 m.  What is the magnitude of the output force F2 (in N) if the lifting piston has a diameter of D2 = 0.120 m [round your final answer to zero decimal places]? {Acircle = (π/4)d2}