Question 1 Hard
The pressure caused by water is 45 000 Pa. Work out the depth. Water has a density of 1000 kg/m³ and g = 10 N/kg.
Show answer
Answer: 4.5 m
- h = p ÷ (ρ × g)
- 45 000 ÷ 10 000 = 4.5 m
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A second set of questions on pressure in fluids. They are different from the ones on the topic page. Try each, then open the answer and compare your working.
The pressure caused by water is 45 000 Pa. Work out the depth. Water has a density of 1000 kg/m³ and g = 10 N/kg.
Answer: 4.5 m
Explain why atmospheric pressure is lower at the top of a mountain.
Answer: There is less air above, so the weight of air and the pressure are lower.
A block with a weight of 12 N floats on water. State the upthrust on it and explain your answer.
Answer: 12 N, because the forces are balanced so the upthrust equals the weight.
Work out the pressure caused by water at a depth of 10 m. Water has a density of 1000 kg/m³ and g = 10 N/kg.
Answer: 100 000 Pa
Short questions with options. Choose one before you open the answer.
What is pressure?
the force acting on each unit of area Pressure tells you how concentrated a force is.
What is the equation for pressure?
pressure = force ÷ area p = F ÷ A, with force in newtons and area in square metres.
What is the unit of pressure?
the pascal, Pa Pressure is measured in pascals.
What is one pascal in other units?
one newton per square metre 1 Pa = 1 N/m².
The same force acts on a smaller area. What happens to the pressure?
It gets bigger. Dividing the same force by a smaller area gives a bigger number.
Why do snowshoes stop you sinking into snow?
They spread your weight over a bigger area, so the pressure is smaller. Bigger area means smaller pressure for the same weight.
Why does a sharp knife cut better than a blunt one?
The edge has a small area, so the same force gives a big pressure. The sharp edge concentrates the force.
A force of 90 N acts on an area of 0.3 m². What is the pressure?
300 Pa 90 ÷ 0.3 = 300 Pa.
A pressure of 5000 Pa acts on an area of 0.2 m². What is the force?
1000 N force = pressure × area = 5000 × 0.2 = 1000 N.
An area is 500 cm². What is it in m²?
0.05 m² Divide by 10 000 to change cm² to m².
In which directions does pressure in a liquid act?
in all directions, at right angles to surfaces A liquid pushes on the sides, top and bottom of anything in it.
Why does pressure in a liquid increase with depth?
There is more liquid above pressing down. Deeper means a taller column of liquid above you.
Write the equation for pressure in a liquid. (Higher tier)
pressure = height × density × gravitational field strength p = h × ρ × g.
What is the density of water in kg/m³?
1000 Water has a density of 1000 kg/m³, or 1 g/cm³.
Water at a depth of 3 m. What is the pressure? Take g = 10 N/kg. (Higher tier)
30 000 Pa p = 3 × 1000 × 10 = 30 000 Pa.
The pressure from water is 20 000 Pa. What is the depth? Take g = 10 N/kg. (Higher tier)
2 m h = 20 000 ÷ (1000 × 10) = 2 m.
What causes upthrust?
The pressure on the bottom of an object is greater than on the top. The bottom is deeper, so the upward push is bigger than the downward push.
What is the size of the upthrust on an object?
the weight of the fluid it pushes out of the way Upthrust equals the weight of the displaced fluid.
When does an object float?
when its weight equals the upthrust Balanced forces mean it floats still.
A block with a weight of 12 N floats still. What is the upthrust on it?
12 N Floating still means the forces are balanced, so upthrust = weight.
A student says a ship floats because steel is light. What is wrong?
A ship is heavy. It floats because it pushes aside enough water to give an upthrust equal to its weight. A wide hull moves a lot of water aside.
What causes atmospheric pressure?
air particles colliding with surfaces, or the weight of the air above Gas particles are always moving and hitting things.
Why is the air pressure lower at the top of a mountain?
There is less air above, so the air is thinner. Fewer particles collide with each surface.
Why does a sealed crisp packet puff up on a plane?
The air pressure outside falls, so the air inside pushes the packet outwards. The inside pressure is now bigger than the outside pressure.
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