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AP Physics 2 : Fluid Statics

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Example Questions

Example Question #1 : Archimedes' Principle

A ball of mass 4kg is lightly dropped into a tub with a base of 1m^2 . After it sinks to the bottom, the water rises by 2.5mm . Determine the density of the ball.

Possible Answers:

$4.4\frac{kg}{L}$

None of these

$1.6\frac{kg}{L}$

$.25\frac{kg}{L}$

$.40\frac{kg}{L}$

Correct answer:

$1.6\frac{kg}{L}$

Explanation:

The volume displaced will equal the volume of the ball.

V=B*h

V=1*.0025

V=.0025m^3

$\rho=\frac{m}{V}$

$\rho=\frac{4 kg}{.0025m^3}$

$\rho=\frac{1600kg}{m^3}$

$\frac{1600kg}{m^3}*\frac{1m^3}{100^3cm^2}*\frac{1000cm^3}{1L}=1.6\frac{kg}{L}$

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Example Question #1 : Archimedes' Principle

How much of an iceberg is submerged below the water if the density of ice is $917 \frac{\textup{kg}}{\textup{m}^3}$ and the density of water is $1000 \frac{\textup{kg}}{\textup{m}^3}$ ?

Possible Answers:

Cannot be determined without knowing the mass of the iceberg.

$9.3\%$

$109\%$

$91.7 \%$

$8.3\%$

Correct answer:

$91.7 \%$

Explanation:

The volume of the submerged mass is the volume of the mass proportional to the density of the solid to the density of the fluid.

$V_{sub}= V_{solid}(\frac{\rho_{solid}}{\rho_{fluid}})$

Determine the amount of ice that is submerged.

$\frac{V_{sub}}{V_{solid}}= \frac{\rho_{solid}}{\rho_{fluid}}= \frac{917}{1000} = 91.7 \%$

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AP Physics 2 : Fluid Statics

Study concepts, example questions & explanations for AP Physics 2

All AP Physics 2 Resources

Example Questions

Example Question #1 : Archimedes' Principle

Example Question #1 : Archimedes' Principle

All AP Physics 2 Resources

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