Question 1

A brick of mass m has sides of lengths a, b and c, where a < b < c. The brick is placed on a horizontal table such that the pressure it exerts on the table is a maximum.

What is the maximum pressure p acting on the table?

p = a bm g
p = a cm g
p = b cm g
p = a b cm g

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Question 2

The derivation of the pressure equation ∆p = ρ\rho g∆h uses a number of relationships between

quantities.

Which relationship is not used in the derivation of this equation?

density = volumemass
potential energy = mass x acceleration of free fall x height
pressure = areaforce
weight = mass x acceleration of free fall

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Question 3

A submarine has circular windows of diameter 0.30 m. The windows can experience a maximum external pressure of 660 kPa before they crack.

What is the minimum external force needed to crack the windows?

  A  

47,000N

  B  

190,000N

  C  

310,000N

  D  

620,000N

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Question 4

A giant squid of length 20.0m is vertical in seawater, with the top of the squid at a depth of 8.00 m. The density of seawater is 1,050 kg m–3.

What is the difference in pressure between the top and the bottom of the squid?

  A  

82,000 Pa

  B  

206,000 Pa 

  C  

288,000 Pa 

  D  

389,000 Pa

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Question 5

The speed v of a liquid leaving a tube depends on the change in pressure ∆P and the density ρ of the liquid. The speed is given by the equation

v = k(ρΔP)n

where k is a constant and has no units.

What is the value of n?

  A  

1/2

  B  

1

  C  

3/2

  D  

2

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Question 6

Which of the following shows the correct base units for pressure?

  A  

kg m–2

  B  

kg m–2 s–2

  C  

kg m–1 s–2

  D  

kg m2 s–3

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Question 7

An object, immersed in a liquid in a tank, experiences an upthrust.

What is the physical reason for this upthrust?

  A  

the density of the body differs from that of the liquid

  B  

the density of the liquid increases with depth

  C  

the pressure in the liquid increases with depth

  D  

the value of g in the liquid increases with depth

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Question 8

Atmospheric pressure at sea level has a value of 100 kPa.

The density of sea water is 1,020 kg m–3.

At what depth in the sea would the total pressure be 110 kPa?

  A  

1.0 m 

  B  

9.8 m

  C  

10 m

  D  

11 m

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Question 9

A cylindrical block of wood has cross-sectional area A and weight W. It is totally immersed in water with its axis vertical. The block experiences pressures pt and pb at its top and bottom surfaces respectively.

Which expression is equal to the upthrust on the block?

  A  

(pb– pt)A + W

  B  

(pb– pt)

  C  

(pb– pt)A

  D  

(pb– pt)A-W

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