Q1: The vessels shown below all contain water to the same height

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Phys101
Term:121
Online HW-Ch14-Lec01
Q1:
The vessels shown below all contain water to the same height. Rank them according
to the pressure exerted by the water on the vessel bottoms, least to greatest.
A.
B.
C.
D.
E.
1, 2, 3, 4
3, 4, 2, 1
4, 3, 2, 1
2, 3, 4, 1
All pressures are the same
Ans:
Q2:
𝐄; because all have the same water height
The density of water is 1.0 g/cm3. If h = 10 cm, find the density of the oil (in kg/m3)
in the left column of the U-tube shown below is: (Give your answer in three
significant figures form)
A ×
×
B
hw
Ans:
PA = PB
⇒ P0 + ρ0 h = P0 + ρw hw ; where hw = h − 2cm
⇒ ρ0 =
ρw hw
1 × (0.1 − 0.02)
=
= 0.8 g/cm3 = 800 kg/m3
h
0.1
KFUPM-Physics Department
1
Phys101
Term:121
Online HW-Ch14-Lec01
Q3:
A bucket resting on the floor of an elevator contains an incompressible fluid of
density ρ. When the elevator has a downward acceleration of magnitude a the
pressure difference between two points in a fluid, separated by a vertical distance h, is
given by:
A. ρah
B. ρgh
�N
�⃗
C. ρ(g+a)h
D. ρ(g-a)h
h
E. ρgah
Ans:
𝐃; ∆P =
Force on the bottom
Area of the bottom
mg
a
Where the force on the bottom is equal to the normal
N − mg = −ma ⇒ N = m(g − a)
⇒ N = ρAh (g − a)
So: ∆P =
N
A
=
ρAh (g−a)
KFUPM-Physics Department
A
= ρh (g − a)
2
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