Blocks a, b, and c in FIGURE Q14.7 have the same volume. Rank in order, from largest to smallest, the sizes of the buoyant forces Fa , Fb , and Fc on a, b, and c. Explain.
Buoyant forces are equal on all three blocks, so Fa = Fb = Fc
The figure given with 3 objects with same volume is submerged in liquid.
We know that buoyant force acting on a mass floating in a liquid depends on density of object, submerged volume of object and gravity.
F= Vs ρ g ……..................(1)
F = buoyant force
Vs = submerged volume
ρ = density of liquid
g = gravity
As the volume of all objects are same so buoyant force will be same .
Fa = Fb =Fc
An object has density ρ.
a. Suppose each of the object’s three dimensions is increased by a factor of 2 without changing the material of which the object is made. Will the density change? If so, by what factor? Explain. b. Suppose each of the object’s three dimensions is increased by a factor of 2 without changing the object’s mass. Will the density change? If so, by what factor? Explain.
A cylinder with cross-section area floats with its long axis vertical in a liquid of density .
a. Pressing down on the cylinder pushes it deeper into the liquid. Find an expression for the force needed to push the cylinder distance deeper into the liquid and hold it there.
b. A -diameter cylinder floats in water. How much work must be done to push the cylinder deeper into the water?
An aquarium of length , width (front to back) , and depth is filled to the top with liquid of density
a. Find an expression for the force of the liquid on the bottom of the aquarium.
b. Find an expression for the force of the liquid on the front window of the aquarium.
c. Evaluate the forces for a-long, deep aquarium filled with water.
FIGURE Q14.4 shows two rectangular tanks, A and B, full of water. They have equal depths and equal thicknesses (the dimension into the page) but different widths.
a. Compare the forces the water exerts on the bottoms of the tanks. Is FA larger than, smaller than, or equal to FB? Explain.b. Compare the forces the water exerts on the sides of the tanks. Is FA larger than, smaller than, or equal to FB? Explain.
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