Unit-5 Pressure and Deformation in Solids
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Unit-5 Pressure and Deformation in Solids
Answer: Pascal's law: an external pressure is transmitted undiminished to every part of the fluid and its container.
Answer: Hydraulic machines such as the press, lift and brakes all work on Pascal's law.
Answer: Force is multiplied in proportion to the areas: F2 = F1 x A2/A1, so the larger piston gives a bigger force.
Answer: An incompressible liquid transmits the brake force equally and quickly to all wheels.
Answer: F2 = F1 x A2/A1 = 100 x (1/0.01) = 10,000 N.
Answer: Pascal's law allows a small force on a small piston to lift a heavy load on a large piston.
Answer: Upthrust = weight of displaced liquid = V rho g, so it depends on displaced volume and liquid density.
Answer: Archimedes' principle: upthrust = weight of the displaced liquid.
Answer: For a floating body the upward buoyant force balances its weight, so the two are equal.
Answer: Upthrust = V rho g = 0.5 x 1000 x 10 = 5000 N.
Answer: If the object's density exceeds the liquid's, its weight exceeds the upthrust and it sinks.
Answer: Since 700 < 1000, the upthrust can balance the weight and the body floats.
Answer: Density = mass/volume, the amount of mass in a unit volume of a substance.
Answer: Density is mass (kg) divided by volume (m^3), giving the unit kg/m^3.
Answer: Density = mass/volume = 400/0.5 = 800 kg/m^3.
Answer: Deformation is the change in shape or size of a body under the action of a force.
Answer: Relative density = density of substance / density of water; it has no unit.
Answer: Relative density is the ratio of two densities, so it is a pure number without a unit.
Answer: Relative density = 5400/1000 = 5.4 (relative to the density of water).
Answer: Upthrust = V rho g = 0.2 x 1000 x 10 = 2000 N.