AP Physics 1 Unit 8: Fluids

Water flows through a horizontal pipe. At point 1 the pressure is $2.0\times 10^5\text{Pa}$ and the speed is $3.0\text{m/s}$. At point 2 the speed has increased to $5.0\text{m/s}$. With $\rho =1000{\text{kg/m}}^3$, what is the pressure at point 2?

A cube of side $0.10\text{m}$ is fully submerged in water (density $\rho =1000{\text{kg/m}}^3$). With $g=10{\text{m/s}}^2$, what is the buoyant force on the cube?

A solid metal sphere of mass $1.0\text{kg}$ and density $4000{\text{kg/m}}^3$ is fully submerged in water. With $g=10{\text{m/s}}^2$, what is the apparent weight (the reading on a scale supporting it under water)?

A hydraulic press has a small piston of area $A_1=0.010{\text{m}}^2$ and a large piston of area $A_2=0.50{\text{m}}^2$. If a force of $200\text{N}$ is applied to the small piston, what force is exerted on the large piston?

A swimming pool is $4.0\text{m}$ deep. With ${\rho }_{water}=1000{\text{kg/m}}^3$, $g=10{\text{m/s}}^2$, and atmospheric pressure $P_0=1.0\times 10^5\text{Pa}$, what is the absolute pressure at the bottom?

Water flows through a pipe whose cross-sectional area decreases from $A_1=4{\text{cm}}^2$ to $A_2=1{\text{cm}}^2$. If the speed in the wider section is $0.50\text{m/s}$, what is the speed in the narrow section?

Two identical containers each hold the same volume of fluid: container 1 has water (density $1000{\text{kg/m}}^3$), container 2 has oil (density $800{\text{kg/m}}^3$). Both fluids fill their containers to the same height. Compare the pressure at the bottom of each container.

A wooden block floats in water with $80\%$ of its volume submerged. What is the density of the wood?