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The first divers used metal ‘diving bells’ to move air under the water surface.
(a) Modelling the air in bell as a hemisphere with diameter of 2.5 metres, use the following information to calculate the upthrust produced due to the water.
Ρwater= 997 kgm-3
Volume of a sphere = 4/3𝜋r3
g = 9.81 ms-2
(b) If the bell was fully submerged and then its suspension cable was released, what would its maximum acceleration be, given that its mass was 4500 kg?
Given that the Young modulus of steel is 210 GPa, the extension of a steel wire undergoing a stress of 300x106 Pa is equal to:
A) 0.14%
B) 1.4%
C) 14%
D) 140%
The speed of a ball bearing falling through treacle:
A) Decreases with distance fallen.
B) Increases with distance fallen and reaches a maximum.
C) Is constant.
D) Reaches a maximum and then decreases.
Which of the following is not true?
A) The pressure of a fluid increases with depth.
B) The pressure of a fluid increases with the width of the container.
C) The pressure of a fluid acts in all directions.
D) The pressure of a fluid depends on its density.
Determine the lowest common multiple LCM of the denominator of the fractions 5/9 and 3/ 15
What is the viscous drag acting on a sphere with a diameter of 16.2 mm falling through water at 2.3 ms-1? Take the viscosity of the water to be 1.1 x 10-3 Nsm-2.
A 3.9 x 10-4 N
B 7.7 x 10-4 N
C 0.39 N
D 0.77 N
The volume of water (ρ = 1000 kgm-3) that would need to be displaced to keep a person of mass 60 kg afloat on a lake on the moon Europa is:
A 0.06 m3
B 0.589 m3
C 5.89 m3
D There is not enough information in the question.
Atmospheric pressure at sea level is 101 kPa and the density of sea water is 1020 kgm-3, therefore the total pressure 42 m underwater is:
A 420 kPa
B 521 kPa
C 4327 MPa
D 144 kPa
Present an argument in one or two sentences whether you think there is likely to
be, or not likely to be, a relationship between the following pairs of variables. In each case, if
you think there is no relationship, explain why not; but if you think there is a relationship,
explain whether and why you think it is a positive or negative relationship. (Note: the
explanation is more important than the yes/no, +/- part of your answer.)
Q1.1 Childhood mortality and GPC per capita
Q1.2 Childhood mortality and Literacy
Q1.3 GPC per capita and Literacy
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
f(x) = sin(x), 0 ≤ x < 𝜋
2
#339914 on Dec 2023