Chapter 14: Fluids and Elasticity

You and your friends are playing in the swimming pool with a $60-cm-diameter$beach ball. How much force would be needed to push the ball completely under water?

Water flows through a $2.5-cm-diameter$ hose at $3.0\mathrm{m}/\mathrm{s}$. How long, in minutes, will it take to fill a $600\mathrm{L}$child's wading pool$?$

A long horizontal tube has a square cross-section with sides of width $L$.

A fluid moves through the tube with speed $v_0$. The tube then changes to a circular cross-section with a diameter$L$. What is the fluid's speed in the circular part of the tube?

A $1.0-\mathrm{cm}-diameter$pipe widens to $2.0\mathrm{cm}$, then narrows to $5.0\mathrm{mm}$. Liquid flows through the first segment at a speed of$4.0m/s$.

a. What is the speed in the second and third segments?

b. What is the volume flow rate through the pipe?

A bucket is filled with water to a height of $23\mathrm{cm}$, then a plug is removed from a $4.0-\mathrm{mm}-diameter$ hole in the bottom of the bucket. As the water begins to pour out of the hole, how fast is it moving$?$

a. 50 g of gasoline are mixed with 50 g of water. What is the average density of the mixture?
b. 50 cm³ of gasoline are mixed with 50 cm³ of water. What is the average density of the mixture?

a. 50 g of gasoline are mixed with 50 g of water. What is the average density of the mixture?
b. 50 cm³ of gasoline are mixed with 50 cm³ of water. What is the average density of the mixture?

Rank in order, from largest to smallest, the pressures at d, e, and f in FIGURE Q14.2. Explain

What does the top pressure gauge read in $FIGUREEX14.30?$

A $2.0mL$syringe has an inner diameter of $6.0mm$, a needle inner diameter of 0.25mm, and a plunger pad diameter (where you place your finger) of $1.2cm$. A nurse uses the syringe to inject medicine into a patient whose blood pressure is $140/100$.

A. What is the minimum force the nurse needs to apply to the syringe?

B. The nurse empties the syringe in $2.0s$. What is the flow speed of the medicine through the needle?