I am using the set-up in the figure as an improvised scale. If h1 = 60 mm, h2 = 100 mm, and the area of the piston = 0.07 m2, estimate the mass (kg) of the object on the piston. Frictionless, Piston Object ↑ h₁ N Water ↑ h₂ Mercury

A passenger is standing on a scale in an elevator. The building has a height of 500 feet, the passenger has a mass of 80 kg, and the scale has a mass of 7 kg. The scale sits on the floor of the elevator. (It is an Otis elevator, so we will label it as "O" so as not to confuse its forces with those caused by the earth.) You may take g = 10 N/kg. For doing this problem it might be useful to start by drawing free-body diagrams for the passenger and the scale.Consider the vertical forces acting on the passenger and the scale WE→P: The force of the earth pulling down on the passenger (weight). WE→S: The force of the earth pulling down on the scale (weight). NP→S: The force of the passenger pushing down on the scale (normal). NS→P: The force of the scale pushing up on the passenger (normal). NO→S: The force of the elevator pushing up on the scale (normal). NO→P: The force of the elevator pushing up on the passenger (normal) a) While it is accelerating downward, which of the forces in your…

Fluids

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At a certain point on the wing of the aircraft, the pressure is 37,803 Pa and the density is 45% of the standard sea level values. Determine the temperature (Kelvin) at that point? Use standard metric units and round off answer to the nearest hundredths.

The end plates (isosceles triangles) of the trough shown to the right were designed to withstand a fluid force of 6400 lb. Assuming the density of water is 62.4 lb/ft³, how many cubic feet can the trough hold without exceeding this limitation? What is the value of h, the depth of water that exerts a fluid force of 6400 lb? What is the integral that gives the fluid force exerted on the end of the trough when filled with water to a depth of h? h Sody The maximum volume is ft³. (Round down to the nearest cubic foot.) The value of his (Round to two decimal places as needed.) (-3,14) (0,h) y (ft) (3,14) 14 y 3x x (ft) 0 End view of trough 14 ft 30 ft 6 ft → Dimensional view of trough

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A 61.0-kg survivor of a cruise line disaster rests atop a block of Styrofoam insulation, using it as a raft. The Styrofoam has dimensions 2.00 m ✕ 2.00 m ✕ 0.0870 m. The bottom 0.022 m of the raft is submerged. A. Write Newton's second law for the system in one dimension, using B for buoyancy, w for the weight of the survivor, and wr for the weight of the raft. (Set a = 0. Solve for Fy, the y-component of the net force. Let upward be the positive y-direction.) Fy = (     ) = 0 B. Calculate the numeric value for the buoyancy, B. (Seawater has density 1025 kg/m3. Enter the answer to at least the ones digit.) C. Using the value of B and the weight w of the survivor, calculate the weight wr of the Styrofoam. D. What is the density of the Styrofoam? E. What is the maximum buoyant force, corresponding to the raft being submerged up to its top surface? F. What total mass of survivors can the raft support?

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