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Physics Chapter 6 : Topic 1
Archimedes’ Principle and Flotation
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According to Archimedes’ principle, a body immersed in a fluid experiences an upward force equal to:
Reasoning: The buoyant force equals the weight of the fluid displaced by the body.
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The upward force exerted by a fluid on an immersed object is called:
Reasoning: Buoyant force or upthrust acts upward on objects in fluids.
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The SI unit of buoyant force is:
Reasoning: Force is measured in newtons.
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The buoyant force acting on an object depends on:
Reasoning: $\mathbf{F}_{\mathbf{B}}\mathbf{= \rho Vg}$ depends on density and volume of displaced fluid.
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Archimedes’ principle is based on the concept of:
Reasoning: Pressure increases with depth, creating an upward resultant force.
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The apparent weight of an object submerged in water is:
Reasoning: Buoyant force reduces the measured weight.
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The relation between actual weight and apparent weight is:
Reasoning: $\mathbf{W}_{\mathbf{\ actual}}\mathbf{=}\mathbf{W}_{\mathbf{\ apparent}}\mathbf{+}\mathbf{F}_{\mathbf{\ B}}$
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A stone feels lighter when submerged in water because:
Reasoning: Upthrust opposes the weight of the stone.
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If the buoyant force equals the weight of an object, the object will:
Reasoning: Equal upward and downward forces produce equilibrium.
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An object completely immersed in water displaces:
Reasoning: Displaced fluid volume equals submerged volume.
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The law of flotation states that a floating body displaces fluid whose weight is:
Reasoning: For floating equilibrium: $\mathbf{F}_{\mathbf{B}}\mathbf{= W}$
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A floating object remains at rest because:
Reasoning: Upthrust equals weight.
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A ship floats on water because:
Reasoning: Hollow design decreases average density.
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When a floating object is loaded with more weight, it:
Reasoning: More displaced water is needed to provide greater upthrust.
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A floating object displaces water equal to:
Reasoning: Only submerged part displaces fluid.
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An object floats in water when its density is:
Reasoning: Lower average density allows floating.
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An object sinks when:
Reasoning: Greater downward force causes sinking.
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If an object has the same density as the fluid, it will:
Reasoning: Equal densities produce neutral buoyancy.
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Ice floats on water because:
Reasoning: Ice density is less than liquid water.
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A body displaces $\mathbf{0.02\ m}^{\mathbf{3}}$ of water. If water density is $\mathbf{1000\ kg/m}^{\mathbf{3}}$, buoyant force is:
Reasoning: $\mathbf{F}_{\mathbf{B}}\mathbf{= \rho Vg = 1000(0.02)(9.8) = 196\ N}$
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A floating object weighs $\mathbf{500\ N}$. The buoyant force acting on it is:
Reasoning: Floating equilibrium requires: $\mathbf{F}_{\mathbf{B}}\mathbf{= W}$
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A metal ship floats while a metal nail sinks because:
Reasoning: Hollow structure allows ships to displace enough water.
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An object has mass $\mathbf{5\ kg}$ and volume $\mathbf{0.002\ m}^{\mathbf{3}}$. Its density is:
Reasoning: $\mathbf{\rho =}$ $\frac{\mathbf{m}}{\mathbf{V}}\mathbf{=}\frac{\mathbf{5}}{\mathbf{0.002}}\mathbf{= 2500\ kg\ /\ }\mathbf{m}^{\mathbf{3}}$
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A body weighs $\mathbf{100\ N}$ in air and $\mathbf{70\ N}$ in water. The buoyant force is:
Reasoning: $\mathbf{F}_{\mathbf{B}}\mathbf{=}\mathbf{W}_{\mathbf{air}}\mathbf{-}\mathbf{W}_{\mathbf{water}}\mathbf{= 100 - 70 = 30\ N}$
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A floating body displaces $\mathbf{3\ kg}$ of water. Its mass is:
Reasoning: Weight of displaced water equals weight of floating object.
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Submarines rise and sink by changing:
Reasoning: Ballast tanks control average density.
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Hydrometers work on:
Reasoning: Hydrometers measure liquid density using flotation.
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A life jacket helps a person float because it:
Reasoning: Air-filled jacket increases volume without much mass.
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A balloon rises in air because:
Reasoning: Upward buoyant force is greater than downward weight.
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The stability of ships depends mainly on:
Reasoning: Stability depends on the relative positions of forces.
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If a floating object is pushed deeper into water, the buoyant force:
Reasoning: Greater submerged volume displaces more water.
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A completely submerged object has buoyant force depending on:
Reasoning: $\mathbf{F}_{\mathbf{B}}\mathbf{= \rho Vg}$
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If the density of liquid increases, the buoyant force on an object:
Reasoning: Buoyant force is directly proportional to fluid density.
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A person weighs less in water because:
Reasoning: Upthrust reduces apparent weight.
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The condition for floating equilibrium is:
Reasoning: Balanced forces produce equilibrium.
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Archimedes’ principle can be applied to:
Reasoning: Any fluid can exert buoyant force.
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