Question 1

One end of a cylindrical pipe has a radius of 1.5 cm. Water (density = 1.0 *103 kg/m3) streams steadily out at 7.0 m/s. The volume flow rate is:

Accepted Answer

A)  4.9 * 10-3 m3/s 
B)  2.5 m3/s 
C)  4.9 m3/s 
D)  7.0 m3/s 
E)  48 m3/s 
A)  4.9 * 10-3 m3/s 
B)  2.5 m3/s 
C)  4.9 m3/s 
D)  7.0 m3/s 
E)  48 m3/s A

Question 2

A non-viscous incompressible fluid is pumped steadily up a vertical pipe with uniform cross section. The difference in pressure between points at the top and bottom:

Accepted Answer

A)  is the same as it would be if the fluid were motionless 
B)  is greater at higher flow rates than at lower flow rates 
C)  is less at higher flow rates than at lower flow rates 
D)  does not depend on the density of the fluid 
E)  is zero 
A)  is the same as it would be if the fluid were motionless 
B)  is greater at higher flow rates than at lower flow rates 
C)  is less at higher flow rates than at lower flow rates 
D)  does not depend on the density of the fluid 
E)  is zero A

Question 3

Water flows through a constriction in a horizontal pipe. As it enters the constriction, the water's:

Accepted Answer

A)  speed increases and pressure decreases 
B)  speed increases and pressure remains constant 
C)  speed increases and pressure increases 
D)  speed decreases and pressure increases 
E)  speed decreases and pressure decreases 
A)  speed increases and pressure decreases 
B)  speed increases and pressure remains constant 
C)  speed increases and pressure increases 
D)  speed decreases and pressure increases 
E)  speed decreases and pressure decreases A

Question 4

The two arms of a U-tube are not identical, one having twice the diameter of the other. A cork in the narrow arm requires a force of 16 N to remove it. The tube is filled with water and the wide arm is fitted with a piston. The minimum force that must be applied to the piston to push the cork out is:

Accepted Answer

A)  4 N 
B)  8 N 
C)  16 N 
D)  32 N 
E)  64 N 
A)  4 N 
B)  8 N 
C)  16 N 
D)  32 N 
E)  64 N

Question 5

Which of the following statements about Pascal's principle is true?

Accepted Answer

A)  It is valid only for incompressible fluids 
B)  It explains why light objects float 
C)  It explains why the pressure is greater at the bottom of a lake than at the surface 
D)  It is valid only for objects that are less dense than water 
E)  None of the above are true 
A)  It is valid only for incompressible fluids 
B)  It explains why light objects float 
C)  It explains why the pressure is greater at the bottom of a lake than at the surface 
D)  It is valid only for objects that are less dense than water 
E)  None of the above are true

Question 6

Which of the following assumptions is NOT made in the derivation of Bernoulli's equation?

Accepted Answer

A)  assume streamline flow 
B)  neglect viscosity 
C)  neglect friction 
D)  neglect gravity 
E)  neglect turbulence 
A)  assume streamline flow 
B)  neglect viscosity 
C)  neglect friction 
D)  neglect gravity 
E)  neglect turbulence

Question 7

If p is a pressure and $\rho$is a density then p/$\rho$ has units of:

Accepted Answer

A)  m2 
B)  m2/s2 
C)  N/m2 
D)  kg/m2 
E)  m3/kg 
A)  m2 
B)  m2/s2 
C)  N/m2 
D)  kg/m2 
E)  m3/kg

Question 8

A fluid is undergoing steady flow. Therefore:

Accepted Answer

A)  the velocity of any given molecule of fluid does not change 
B)  the pressure does not vary from point to point 
C)  the velocity at any given point does not vary with time 
D)  the density does not vary from point to point 
E)  the flow is not uphill or downhill 
A)  the velocity of any given molecule of fluid does not change 
B)  the pressure does not vary from point to point 
C)  the velocity at any given point does not vary with time 
D)  the density does not vary from point to point 
E)  the flow is not uphill or downhill

Question 9

A certain object floats in fluids of density   Which of the following statements is true?

Accepted Answer

A)  the buoyant force of fluid 1 is greater than the buoyant forces of the other two fluids 
B)  the buoyant force of fluid 3 is greater than the buoyant forces of the other two fluids 
C)  the three fluids exert the same buoyant force 
D)  the object displace the same volume of all three fluids 
E)  none of these are true 
A)  the buoyant force of fluid 1 is greater than the buoyant forces of the other two fluids 
B)  the buoyant force of fluid 3 is greater than the buoyant forces of the other two fluids 
C)  the three fluids exert the same buoyant force 
D)  the object displace the same volume of all three fluids 
E)  none of these are true

Question 10

A cork floats in water in a bucket resting on the floor of an elevator. The elevator then accelerates upward. During the acceleration:

Accepted Answer

A)  the cork is immersed more 
B)  the cork is immerse less 
C)  the cork is immersed the same amount 
D)  at first the cork is immersed less but as the elevator speeds up it is immersed more 
E)  at first the cork is immersed more but as the elevator speeds up it is immersed less 
A)  the cork is immersed more 
B)  the cork is immerse less 
C)  the cork is immersed the same amount 
D)  at first the cork is immersed less but as the elevator speeds up it is immersed more 
E)  at first the cork is immersed more but as the elevator speeds up it is immersed less

Question 11

One piston in a hydraulic lift has an area that is twice the area of the other. When the pressure at the smaller piston is increased by $\Delta$p the pressure at the larger piston:

Accepted Answer

A)  increases by 2$\Delta$p 
B)  increases by $\Delta$p/2 
C)  increases by $\Delta$p 
D)  increases by 4$\Delta$p 
E)  does not change 
A)  increases by 2$\Delta$p 
B)  increases by $\Delta$p/2 
C)  increases by $\Delta$p 
D)  increases by 4$\Delta$p 
E)  does not change

Question 12

An incompressible liquid flows along the pipe as shown. The ratio of the speeds v2/v1 is:

Accepted Answer

A)  A1/A2 
B)  A2/A1 
C)    
D)    
E)  v1/v2 
A)  A1/A2 
B)  A2/A1 
C)    
D)    
E)  v1/v2

Question 13

A long U-tube contains mercury (density = 14 * 103 kg/m3). When 10 cm of water (density = 1.0 *103 kg/m 3) is poured into the left arm, the mercury in the right arm rises above its original level by:

Accepted Answer

A)  0.36 cm 
B)  0.72 cm 
C)  14 cm 
D)  35 cm 
E)  70 cm 
A)  0.36 cm 
B)  0.72 cm 
C)  14 cm 
D)  35 cm 
E)  70 cm

Question 14

A large water tank, open at the top, has a small hole in the bottom. When the water level is 30 m above the bottom of the tank, the speed of the water leaking from the hole:

Accepted Answer

A)  is 2.5 m/s 
B)  is 24 m/s 
C)  is 44 m/s 
D)  cannot be calculated unless the area of the hole is given 
E)  cannot be calculated unless the areas of the hole and tank are given 
A)  is 2.5 m/s 
B)  is 24 m/s 
C)  is 44 m/s 
D)  cannot be calculated unless the area of the hole is given 
E)  cannot be calculated unless the areas of the hole and tank are given

Question 15

A large tank filled with water has two holes in the bottom, one with twice the radius of the other. In steady flow the speed of water leaving the larger hole is ________ the speed of the water leaving the smaller.

Accepted Answer

A)  twice 
B)  four times 
C)  half 
D)  one-fourth 
E)  the same as 
A)  twice 
B)  four times 
C)  half 
D)  one-fourth 
E)  the same as

Question 16

1 Pa is:

Accepted Answer

A)  1 N/m 
B)  1 m/N 
C)  1 kg/m .s 
D)  1 kg/m . s2 
E)  1 N/m . s 
A)  1 N/m 
B)  1 m/N 
C)  1 kg/m .s 
D)  1 kg/m . s2 
E)  1 N/m . s

Question 17

A hydraulic press has one piston of diameter 2.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston:

Accepted Answer

A)  6.25 N 
B)  25 N 
C)  100 N 
D)  400 N 
E)  1600 N 
A)  6.25 N 
B)  25 N 
C)  100 N 
D)  400 N 
E)  1600 N

Question 18

Water is streaming downward from a faucet opening with an area of 3.0 * 10-5 m2. It leaves the faucet with a speed of 5.0 m/s. The cross sectional area of the stream 0.50 m below the faucet is:

Accepted Answer

A)  1.5 * 10-5 m2 
B)  2.0* 10-5 m2 
C)  2.5 *10-5 m2 
D)  3.0 *10-5 m2 
E)  3.5* 10-5 m2 
A)  1.5 * 10-5 m2 
B)  2.0* 10-5 m2 
C)  2.5 *10-5 m2 
D)  3.0 *10-5 m2 
E)  3.5* 10-5 m2

Question 19

Two identical blocks of ice float in water as shown. Then:

Accepted Answer

A)  block A displaces a greater volume of water since the pressure acts on a smaller bottom area 
B)  block B displaces a greater volume of water since the pressure is less on its bottom 
C)  the two blocks displace equal volumes of water since they have the same weight 
D)  block A displaces a greater volume of water since its submerged end is lower in the water 
E)  Block B displaces a greater volume of water since its submerged end has a greater area 
A)  block A displaces a greater volume of water since the pressure acts on a smaller bottom area 
B)  block B displaces a greater volume of water since the pressure is less on its bottom 
C)  the two blocks displace equal volumes of water since they have the same weight 
D)  block A displaces a greater volume of water since its submerged end is lower in the water 
E)  Block B displaces a greater volume of water since its submerged end has a greater area

Question 20

The equation of continuity for fluid flow can be derived from the conservation of:

Accepted Answer

A)  energy 
B)  mass 
C)  angular momentum 
D)  volume 
E)  pressure 
A)  energy 
B)  mass 
C)  angular momentum 
D)  volume 
E)  pressure

Exam 14: Fluids

One end of a cylindrical pipe has a radius of 1.5 cm. Water (density = 1.0 *103 kg/m3) streams steadily out at 7.0 m/s. The volume flow rate is:

A non-viscous incompressible fluid is pumped steadily up a vertical pipe with uniform cross section. The difference in pressure between points at the top and bottom:

Water flows through a constriction in a horizontal pipe. As it enters the constriction, the water's:

Which of the following statements about Pascal's principle is true?

Which of the following assumptions is NOT made in the derivation of Bernoulli's equation?

If p is a pressure and ρ\rhoρ is a density then p/ ρ\rhoρ has units of:

A fluid is undergoing steady flow. Therefore:

A certain object floats in fluids of density Which of the following statements is true?

A cork floats in water in a bucket resting on the floor of an elevator. The elevator then accelerates upward. During the acceleration:

One piston in a hydraulic lift has an area that is twice the area of the other. When the pressure at the smaller piston is increased by Δ\DeltaΔ p the pressure at the larger piston:

An incompressible liquid flows along the pipe as shown. The ratio of the speeds v2/v1 is:

A long U-tube contains mercury (density = 14 * 103 kg/m3). When 10 cm of water (density = 1.0 *103 kg/m 3) is poured into the left arm, the mercury in the right arm rises above its original level by:

A large water tank, open at the top, has a small hole in the bottom. When the water level is 30 m above the bottom of the tank, the speed of the water leaking from the hole:

A large tank filled with water has two holes in the bottom, one with twice the radius of the other. In steady flow the speed of water leaving the larger hole is ________ the speed of the water leaving the smaller.

1 Pa is:

A hydraulic press has one piston of diameter 2.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston:

Water is streaming downward from a faucet opening with an area of 3.0 * 10-5 m2. It leaves the faucet with a speed of 5.0 m/s. The cross sectional area of the stream 0.50 m below the faucet is:

Two identical blocks of ice float in water as shown. Then:

The equation of continuity for fluid flow can be derived from the conservation of:

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One end of a cylindrical pipe has a radius of 1.5 cm. Water (density = 1.0 *10³ kg/m³) streams steadily out at 7.0 m/s. The volume flow rate is:

If p is a pressure and $\rho$ is a density then p/ $\rho$ has units of:

One piston in a hydraulic lift has an area that is twice the area of the other. When the pressure at the smaller piston is increased by $\Delta$ p the pressure at the larger piston:

An incompressible liquid flows along the pipe as shown. The ratio of the speeds v₂/v₁ is:

A long U-tube contains mercury (density = 14 * 10³ kg/m³). When 10 cm of water (density = 1.0 *10³ kg/m ³) is poured into the left arm, the mercury in the right arm rises above its original level by:

Water is streaming downward from a faucet opening with an area of 3.0 * 10^-⁵ m². It leaves the faucet with a speed of 5.0 m/s. The cross sectional area of the stream 0.50 m below the faucet is: