Pressure, forces and motion in depth
By the end of this chapter you will be able to
- Calculate pressure from force and area, and use units of pascals
- Explain why pressure in a liquid increases with depth
- State Newton's third law and give examples of pairs of forces
- Read a velocity-time graph: gradient for acceleration, area for distance (extension for F = m x a)
- Explain terminal velocity in terms of balanced forces
You should already know
- Forces, speed and distance (Year 7 Science, Chapter 11)
- Pressure in solids and moments (Year 7 Science, Chapter 12)
Where this leads
- Waves in Chapter 13, which move energy without transferring matter
National Curriculum for England, Key Stage 3 science, Year 9. Content: 9P5 pressure p = F / A in solids (deepens Year 7, Chapter 12), 9P5 pressure in liquids increases with depth and density; atmospheric pressure at the surface and its fall with height (basic), 9P5 Newton's second law F = m x a in simple cases (EXTENSION: top of the KS3 range, flagged), 9P5 Newton's third law as pairs of forces (basic), 9P5 velocity-time graphs: gradient is acceleration, area is distance (deepens Year 7, Chapter 11 and Year 8, Chapter 13), 9P5 terminal velocity (basic).
Exercise P Do you remember?
Method. Recall the unit.
- Recall. Force is measured in newtons, N.newtons
- Write the answer. newton
Check. The symbol is N. ✓
Method. Multiply 5 by 12.
- Multiply. Five lots of 12 is 60.5 x 12 = 60
- Write the answer. 60
Check. 60 / 5 = 12. ✓
Method. Recall the force.
- Recall. Friction opposes the motion of surfaces that rub.opposes the motion
- Write the answer. friction
Check. Friction produces thermal energy. ✓
Method. Speed = distance / time.
- Divide. 60 / 12 = 5.60 / 12 = 5
- Write the answer. 5
Check. 5 x 12 = 60 m. ✓
Method. Recall the unit.
- Recall. Area is measured in square metres, m2.square metres
- Write the answer. square metre
Check. The symbol is m squared. ✓
Pressure in solids
Pressure is the force acting on a surface divided by the area of the surface: p = F / A. The unit of pressure is the pascal, Pa, which is one newton per square metre.
For the same force, a smaller area gives a bigger pressure. This is why a sharp tip works, and why skis spread a skier’s weight over more snow.
Key ideas
- Pressure = force / area, p = F / A.
- The unit of pressure is the pascal (Pa), which is N/m2.
- The same force on a smaller area gives a bigger pressure.
- Convert cm2 to m2 before using the equation.
Method. Use p = F / A.
- Write. p = 600 / 0.5.600 / 0.5
- Calculate. So the pressure is 1200 Pa.600 / 0.5 = 1200
- Write the answer. 1200
Check. 1200 x 0.5 = 600 N. ✓
Method. Use p = F / A.
- Write. p = 30 / 0.02.30 / 0.02
- Calculate. So the pressure is 1500 Pa.30 / 0.02 = 1500
- Write the answer. 1500
Check. 1500 x 0.02 = 30 N. ✓
Method. Compare the areas.
- Think. A larger area spreads the same force, so the pressure falls.spreads the force
- Name it. So the pressure is smaller.smaller
- Write the answer. smaller
Check. A bigger area gives less pressure. ✓
Watch out
Watch out: convert area to square metres first. 200 cm2 is 0.02 m2, not 200 m2.
Exam tip
Exam tip. Write the equation, substitute with units, then give the answer in pascals.
Try it (with your teacher, or a grown-up at home). With your teacher, press a finger onto a sheet of paper, then press with a pencil point, and feel the difference. Explain using p = F / A which one has the bigger pressure.
Exercise 12A Pressure in solids
Method. Recall the unit.
- Recall. Pressure is measured in pascals, Pa.pascals
- Write the answer. pascal
Check. One pascal is one newton per square metre. ✓
Method. Recall the equation.
- Recall. Pressure is force divided by area.force divided by area
- Write the answer. pressure = force / area
Check. p = F / A. ✓
Method. Recall the rule.
- Recall. A smaller area concentrates the same force.concentrates the force
- Decide. So the pressure is bigger.bigger
- Write the answer. bigger
Check. That is why a sharp tip works. ✓
Method. Recall the name.
- Recall. One newton per square metre is one pascal.one pascal
- Write the answer. pascal
Check. Pa for short. ✓
Method. Think about the area.
- Think. Skis have a large area.large area
- Conclude. So the weight is spread, and the pressure on the snow is smaller.pressure is smaller
- Write the answer. Accept any sentence saying they spread the weight over a larger area.
Check. Larger area, smaller pressure. ✓
Method. Use p = F / A.
- Divide. 100 / 2 = 50.100 / 2 = 50
- Write the answer. 50
Check. 50 x 2 = 100 N. ✓
Method. Use p = F / A.
- Divide. 240 / 0.4 = 600.240 / 0.4 = 600
- Write the answer. 600
Check. 600 x 0.4 = 240 N. ✓
Method. The force is the weight of the block.
- Divide. 60 / 0.2 = 300.60 / 0.2 = 300
- Write the answer. 300
Check. 300 x 0.2 = 60 N. ✓
Method. The smaller area gives the bigger pressure.
- Compare. A has the smaller area, so it gives the bigger pressure.smaller area
- Decide. So block A exerts the bigger pressure.A
- Write the answer. A
Check. The same force on 0.1 m2 is bigger than on 0.4 m2. ✓
Method. Think about the area of the heel.
- Think. A narrow heel has a small area.small area
- Decide. So the pressure is bigger, and she is right.yes
- Write the answer. yes
Check. Narrow means smaller area, so higher pressure. ✓
Method. Think about the area of the edge.
- Think. A sharp edge has a small contact area.small contact area
- Conclude. The same force on a small area gives a bigger pressure, so it cuts better.cuts better
- Write the answer. Accept any sentence saying the sharp edge has a smaller area, so the same force gives a bigger pressure.
Check. Pressure is force per unit area. ✓
Method. Divide the weight by each area.
- One foot. 600 / 0.02 = 30 000 Pa.600 / 0.02 = 30000
- Two feet. 600 / 0.04 = 15 000 Pa, which is lower.600 / 0.04 = 15000
- Write the answer. 30000
Check. Two feet give half the pressure. ✓
Pressure in liquids and the atmosphere
The pressure in a liquid increases with depth, because there is more liquid above each point. Pressure in a liquid acts in all directions. A denser liquid also gives a greater pressure at the same depth.
The atmosphere is the layer of air above us. Air pressure at sea level is about 100 000 Pa. It falls with height, because there is less air above each point to press down.
| Hole | Depth (cm) | Water jet distance (cm) |
|---|---|---|
| top hole | 2 | 5 |
| middle hole | 6 | 12 |
| bottom hole | 10 | 20 |
Key ideas
- Pressure in a liquid increases with depth.
- Pressure in a liquid acts in all directions.
- A denser liquid gives a greater pressure at the same depth.
- Atmospheric pressure falls with height.
Method. Compare the depths.
- Look. The bottom hole is the deepest.deepest
- Name it. So the bottom hole has the greatest pressure.bottom hole
- Write the answer. bottom hole
Check. The jet travels furthest from the deepest hole. ✓
Method. Think about the air above you.
- Think. As you go up, there is less air above you.less air above
- Name it. So the air pressure decreases.decreases
- Write the answer. decreases
Check. Air pressure falls with height. ✓
Method. Recall the value.
- Recall. Air pressure at sea level is about 100 000 Pa.100 000 Pa
- Name it. So the answer is 100000.100000
- Write the answer. 100000
Check. That is about one atmosphere. ✓
Watch out
Watch out: pressure in a liquid is not the same at every point at the same depth only if the liquid is moving; in a still liquid, equal depths have equal pressure.
Exam tip
Exam tip. Link pressure to the weight of the liquid or air above a point: more above, more pressure.
Try it (with your teacher, or a grown-up at home). With your teacher, make three holes in a plastic bottle at different heights. Fill it with water and watch how far each jet travels. Keep the bottle over a tray. Say which hole gives the greatest pressure.
Exercise 12B Pressure in liquids and the atmosphere
Method. Recall the rule.
- Recall. Pressure in a liquid increases with depth.increases with depth
- Write the answer. increase
Check. More liquid is above a deeper point. ✓
Method. Recall the rule.
- Recall. Liquid pressure acts equally in all directions at a point.all directions
- Write the answer. yes
Check. The jet shows the pressure pushes sideways. ✓
Method. Recall the rule.
- Recall. Air pressure falls with height.falls with height
- Write the answer. decrease
Check. There is less air above. ✓
Method. Recall the value.
- Recall. Atmospheric pressure at sea level is about 100 000 Pa.100 000 Pa
- Write the answer. yes
Check. That is about one atmosphere. ✓
Method. Read the table.
- Read. The bottom hole gives the longest jet, at 20 cm.20 cm
- Write the answer. bottom
Check. The bottom hole is the deepest. ✓
Method. Recall the rule.
- Recall. A denser liquid has more mass above each point.more mass above
- Write the answer. yes
Check. Density affects the pressure. ✓
Method. Subtract the two distances.
- Subtract. 20 - 5 = 15.20 - 5 = 15
- Write the answer. 15
Check. 5 + 15 = 20. ✓
Method. Subtract the depths.
- Subtract. 10 - 2 = 8.10 - 2 = 8
- Write the answer. 8
Check. 2 + 8 = 10. ✓
Method. Use the rule for height.
- Think. On a high mountain there is less air above.less air above
- Decide. So the pressure is smaller.smaller
- Write the answer. smaller
Check. The pressure falls with height. ✓
Method. Think about the water above.
- Think. The deeper diver has more water above.more water above
- Conclude. So the pressure at 20 m is greater than at 2 m.greater
- Write the answer. Accept any sentence saying there is more water above, so the pressure is greater.
Check. Depth increases the pressure in a liquid. ✓
Method. Compare the pressures outside.
- Think. The outside air pressure is higher at sea level.higher at sea level
- Conclude. So the balloon has a smaller pressure difference, and does not burst as easily.smaller difference
- Write the answer. Accept any sentence saying the air outside is at a greater pressure at sea level, so it pushes in more strongly.
Check. The pressure difference is what matters. ✓
Newton's third law and balanced forces
Newton’s third law says that when one object exerts a force on a second object, the second object exerts an equal and opposite force on the first. These forces are a pair. They act on different objects, so they do not cancel each other out.
Balanced forces act on the same object and cancel out: the object does not accelerate. Unbalanced forces give a resultant force, so the object accelerates.
Key ideas
- Newton's third law: a pair of equal and opposite forces on different objects.
- Balanced forces on one object cancel out; the object stays still or moves at a steady speed.
- Unbalanced forces give a resultant force, and the object accelerates.
- A pair of forces does not cancel, because they act on different objects.
Method. Balanced forces are equal.
- Think. The book is balanced, so the two forces are equal.equal
- Conclude. So the weight of the book is 5 N.5
- Write the answer. 5
Check. Balanced forces cancel. ✓
Method. Use Newton's third law.
- Think. The wall pushes back with an equal and opposite force.equal and opposite
- Conclude. So the wall pushes back with 40 N.40
- Write the answer. 40
Check. The pair is equal in size. ✓
Method. Recall where the forces act.
- Recall. The two forces act on different objects.different objects
- Decide. So they do not cancel each other; the answer is no.no
- Write the answer. no
Check. Only forces on the same object cancel. ✓
Watch out
Watch out: a pair of forces never cancels, because the two forces act on different objects. Only balanced forces on one object cancel.
Exam tip
Exam tip. When asked about a pair, say “equal and opposite, acting on different objects”.
Try it (with your teacher, or a grown-up at home). With your teacher, sit in two chairs back to back on a smooth floor, and push gently against each other. Say which forces are equal and opposite, and which objects they act on. Do not push hard.
Exercise 12C Newton's third law and balanced forces
Method. Recall the law.
- Recall. Equal and opposite forces in pairs is Newton’s third law.Newton's third law
- Write the answer. Newton's third law
Check. It is about pairs of forces. ✓
Method. Recall the rule.
- Recall. The two forces in a pair act on different objects.different objects
- Write the answer. no
Check. So they do not cancel. ✓
Method. Recall the rule.
- Recall. The forces in a pair are equal in size.equal in size
- Write the answer. yes
Check. They are also opposite in direction. ✓
Method. Recall the rule.
- Recall. The two forces are in opposite directions.opposite directions
- Write the answer. opposite directions
Check. Equal and opposite. ✓
Method. Recall balanced forces.
- Recall. Balanced forces cancel, so there is no resultant force.no resultant force
- Decide. So the object does not accelerate.no
- Write the answer. no
Check. Balanced means no change in motion. ✓
Method. Balanced forces are equal.
- Think. The upward force must equal the weight to balance.must equal
- Conclude. So the table pushes up with 5 N.5
- Write the answer. 5
Check. Equal and opposite. ✓
Method. Use Newton's third law.
- Think. The rope pulls back with an equal and opposite force.equal and opposite
- Conclude. So the rope pulls the girl with 30 N.30
- Write the answer. 30
Check. Equal in size. ✓
Method. Add the forces with their directions.
- Add. 12 - 12 = 0, so the forces cancel.12 - 12 = 0
- Decide. So there is no resultant force, and the answer is no.no
- Write the answer. no
Check. Balanced forces give zero resultant. ✓
Method. Subtract the smaller force from the larger.
- Subtract. 12 - 5 = 7.12 - 5 = 7
- Direction. The resultant is 7 N to the right.7 N
- Write the answer. 7
Check. 5 + 7 = 12. ✓
Method. Check the forces.
- Check. The forces are equal and opposite, so they balance.balance
- Decide. So the boat is not accelerating; the answer is no.no
- Write the answer. no
Check. Balanced forces keep the speed steady. ✓
Method. Think about the objects.
- Think. One force acts on the hand, the other on the wall.on the hand
- Conclude. Forces on different objects do not cancel.do not cancel
- Write the answer. Accept any sentence saying the two forces act on different objects.
Check. Cancelling needs the same object. ✓
Method. Use Newton's third law.
- Think. The rocket pushes the gas down with 500 N.500 N down
- Conclude. The gas pushes the rocket up with an equal force of 500 N.500 N up
- Write the answer. Accept 500 N upwards, because it is equal and opposite to the push on the gas.
Check. Equal and opposite, on different objects. ✓
Newton's second law (extension)
Extension (top of the KS3 range; flagged). Newton’s second law says that the resultant force on an object equals its mass times its acceleration: F = m x a. F is in newtons, m in kilograms and a in metres per second squared (m/s2). A larger force gives a larger acceleration; a larger mass gives a smaller acceleration.
Key ideas
- Extension: F = m x a, with F in N, m in kg, and a in m/s2.
- A bigger resultant force gives a bigger acceleration.
- A bigger mass gives a smaller acceleration for the same force.
- Acceleration is zero when the forces are balanced.
Method. Rearrange F = m x a to a = F / m.
- Rearrange. a = F / m = 12 / 4.12 / 4
- Calculate. So the acceleration is 3 m/s2.12 / 4 = 3
- Write the answer. 3
Check. 4 x 3 = 12 N. ✓
Method. Use a = F / m.
- Calculate. a = 20 / 5 = 4.20 / 5 = 4
- Conclude. So the acceleration is 4 m/s2.4
- Write the answer. 4
Check. 5 x 4 = 20 N. ✓
Method. Use W = m x g.
- Write. W = 6 x 10.6 x 10
- Calculate. So the weight is 60 N.6 x 10 = 60
- Write the answer. 60
Check. 60 / 10 = 6 kg. ✓
Watch out
Watch out: F = m x a uses the resultant force, not one of the separate forces. Work out the resultant first.
Exam tip
Exam tip. Rearrange first: a = F / m, or m = F / a. Write the units with each number.
Try it (with your teacher, or a grown-up at home). With your teacher, push a trolley with the same push first empty, then with a 1 kg mass on it. Use a stopwatch and a metre rule to see which one speeds up more. Say which variable is the force and which is the mass.
Exercise 12D Newton's second law (extension)
Method. Recall the equation.
- Recall. Newton’s second law is F = m x a.F = m x a
- Write the answer. force = mass x acceleration
Check. Force is measured in newtons. ✓
Method. Recall the unit.
- Recall. Force is measured in newtons, N.newtons
- Write the answer. newton
Check. The symbol is N. ✓
Method. Recall the rule.
- Recall. The acceleration is proportional to the force.proportional to the force
- Write the answer. bigger
Check. More force, more acceleration. ✓
Method. Recall the rule.
- Recall. For the same force, a bigger mass accelerates less.accelerates less
- Write the answer. smaller
Check. Mass resists changes in motion. ✓
Method. Use a = F / m.
- Divide. a = 12 / 4 = 3.12 / 4 = 3
- Write the answer. 3
Check. 4 x 3 = 12. ✓
Method. Use a = F / m.
- Divide. a = 20 / 5 = 4.20 / 5 = 4
- Write the answer. 4
Check. 5 x 4 = 20. ✓
Method. Use F = m x a.
- Multiply. F = 2 x 3 = 6.2 x 3 = 6
- Write the answer. 6
Check. 6 / 2 = 3. ✓
Method. Use m = F / a.
- Divide. m = 30 / 5 = 6.30 / 5 = 6
- Write the answer. 6
Check. 6 x 5 = 30. ✓
Method. Use W = m x g.
- Multiply. W = 6 x 10 = 60.6 x 10 = 60
- Write the answer. 60
Check. 60 / 6 = 10. ✓
Method. Find the resultant, then divide by the mass.
- Resultant. 15 - 3 = 12 N to the right.15 - 3 = 12
- Divide. a = 12 / 3 = 4.12 / 3 = 4
- Write the answer. 4
Check. 3 x 4 = 12. ✓
Method. Use the rule for mass.
- Think. The lorry has a larger mass.larger mass
- Conclude. For the same force, a larger mass gives a smaller acceleration.smaller acceleration
- Write the answer. Accept any sentence saying the lorry has a bigger mass, so the same force gives a smaller acceleration.
Check. Mass resists acceleration. ✓
Method. Find the acceleration, then the speed.
- Acceleration. a = 10 / 2 = 5 m/s2.10 / 2 = 5
- Speed. After 3 s, speed = 5 x 3 = 15 m/s.5 x 3 = 15
- Write the answer. 15
Check. Speed = acceleration x time, starting from rest. ✓
Velocity-time graphs and terminal velocity
On a velocity-time graph, the gradient (the slope) is the acceleration. A horizontal line means a steady speed, with zero acceleration. The area under the graph is the distance travelled. A steep downward slope means the object is slowing down quickly.
Terminal velocity is the steady speed reached by a falling object when the drag force equals its weight. The forces are balanced, so the acceleration is zero.
| Part of the journey | Starts (m/s) | Ends (m/s) | Time (s) |
|---|---|---|---|
| speeding up | 0 | 10 | 5 |
| steady | 10 | 10 | 10 |
| slowing down | 10 | 0 | 2 |
Key ideas
- Gradient of a velocity-time graph = acceleration.
- Area under a velocity-time graph = distance.
- A horizontal line means steady speed (zero acceleration).
- Terminal velocity: drag equals weight, so the forces balance.
Method. Gradient = change in velocity / time.
- Calculate. (10 - 0) / (5 - 0) = 10 / 5.10 / 5
- Conclude. So the acceleration is 2 m/s2.10 / 5 = 2
- Write the answer. 2
Check. 2 x 5 = 10 m/s. ✓
Method. Area = speed x time for a steady speed.
- Calculate. Distance = 10 x 10 = 100 m.10 x 10
- Conclude. So the bike goes 100 m at a steady speed.100
- Write the answer. 100
Check. 100 / 10 = 10 m/s. ✓
Method. Area of a triangle = half x base x height.
- Calculate. Area = 0.5 x 5 x 10 = 25.0.5 x 5 x 10
- Conclude. So the distance is 25 m.25
- Write the answer. 25
Check. 25 m is the first part of the journey. ✓
Watch out
Watch out: the gradient gives acceleration, not distance. The area under the graph gives distance.
Exam tip
Exam tip. For a steady speed, distance = speed x time. For a triangle under the graph, use half x base x height.
Try it (with your teacher, or a grown-up at home). With your teacher, roll a toy car down a ramp, and record its position every second with a stopwatch and a metre rule. Plot distance against time, and then plot a velocity-time graph. Say what the gradient of the second graph shows.
Exercise 12E Velocity-time graphs and terminal velocity
Method. Recall the rule.
- Recall. The gradient of a velocity-time graph is the acceleration.gradient is acceleration
- Write the answer. acceleration
Check. Gradient is change in velocity over time. ✓
Method. Recall the rule.
- Recall. The area under a velocity-time graph is the distance.area is distance
- Write the answer. distance
Check. Area is found by multiplying speed by time. ✓
Method. Recall the shape.
- Recall. A horizontal line has no change in speed, so the speed is steady.no change in speed
- Write the answer. steady speed
Check. Zero gradient means zero acceleration. ✓
Method. Recall the name.
- Recall. The steady speed reached by a falling object is terminal velocity.terminal velocity
- Write the answer. terminal velocity
Check. At terminal velocity, the forces balance. ✓
Method. Recall the forces.
- Recall. The forces balance, so there is no resultant force.balance
- Decide. So the acceleration is zero; the answer is yes.yes
- Write the answer. yes
Check. Steady speed means zero acceleration. ✓
Method. Read the graph.
- Read. The steady part runs from 5 s to 15 s.5 to 15 s
- Calculate. 15 - 5 = 10 s.15 - 5 = 10
- Write the answer. 10
Check. 5 + 10 = 15 s. ✓
Method. Gradient is change in velocity over time.
- Calculate. (0 - 10) / 2 = -5.(0 - 10) / 2 = -5
- Conclude. The braking deceleration is 5 m/s2.5
- Write the answer. 5
Check. Negative sign means slowing down. ✓
Method. Add the three areas.
- First. Triangle: 25 m.25 m
- Second. Rectangle: 10 x 10 = 100 m.100 m
- Third. Triangle: 0.5 x 2 x 10 = 10 m.10 m
- Total. 25 + 100 + 10 = 135 m.25 + 100 + 10 = 135
- Write the answer. 135
Check. 135 m in total. ✓
Method. Gradient = change in velocity / time.
- Calculate. 8 / 4 = 2 m/s2.8 / 4 = 2
- Write the answer. 2
Check. 2 x 4 = 8. ✓
Method. Distance = speed x time at steady speed.
- Calculate. 8 x 10 = 80 m.8 x 10 = 80
- Write the answer. 80
Check. 80 / 10 = 8 m/s. ✓
Method. Think about the drag.
- Think. Drag increases as the speed increases.increases with speed
- Conclude. Drag reaches the weight, the forces balance, and the speed becomes steady.speed becomes steady
- Write the answer. Accept any sentence saying the air resistance grows until it equals the weight, and the forces balance.
Check. Balanced forces mean a steady speed. ✓
Method. Think about the resultant force.
- Think. The resultant force falls as drag rises.resultant force falls
- Conclude. When drag equals weight the resultant is zero, so the speed is steady.resultant is zero
- Write the answer. Accept any sentence saying the drag increases with speed, until it balances the weight.
Check. Terminal velocity is a balance point. ✓
Chapter summary
| Skill | Method |
|---|---|
| Pressure in solids | p = F / A, in pascals; a smaller area gives a bigger pressure. |
| Pressure in liquids and air | Liquid pressure increases with depth and acts in all directions; air pressure falls with height. |
| Newton's third law | Equal and opposite forces in pairs, acting on different objects; they do not cancel. |
| Newton's second law (extension) | F = m x a, with F in N, m in kg and a in m/s squared. |
| Velocity-time graphs | Gradient is acceleration; area is distance; horizontal means steady speed. |
| Terminal velocity | Drag equals weight; the forces balance; the speed is steady. |
Can you…?
- I can calculate pressure from force and area, in pascals
- I can explain why liquid pressure increases with depth, and why air pressure falls with height
- I can state Newton's third law and give examples of pairs of forces
- I can read a velocity-time graph: gradient for acceleration, area for distance
- I can explain terminal velocity in terms of balanced forces
Key terms
- pressure
- force divided by the area it acts on, measured in pascals
- pascal
- the unit of pressure: one newton per square metre
- atmosphere
- the layer of air around the Earth
- Newton's third law
- the force on one object by another is equal and opposite to the force on the other by the first
- balanced forces
- forces that cancel out, so there is no resultant force
- resultant force
- the single force that is equivalent to all the forces acting
- acceleration
- the change in velocity each second
- velocity-time graph
- a graph of speed or velocity against time: the gradient is acceleration and the area is distance
- drag
- the force that opposes motion through air or water
- terminal velocity
- the steady speed reached when drag equals weight
Exercise 12Z Check-up
Method. Recall the unit.
- Recall. Pressure is measured in pascals.pascals
- Write the answer. pascal
Check. One newton per square metre. ✓
Method. Use p = F / A.
- Divide. 240 / 0.4 = 600.240 / 0.4 = 600
- Write the answer. 600
Check. 600 x 0.4 = 240. ✓
Method. Recall the rule.
- Recall. Pressure in a liquid increases with depth.increases with depth
- Write the answer. increase
Check. More liquid above. ✓
Method. Recall the rule.
- Recall. Air pressure falls with height.falls with height
- Write the answer. yes
Check. Less air above. ✓
Method. Recall the law.
- Recall. Equal and opposite pairs of forces is the third law.third law
- Write the answer. Newton's third law
Check. Pairs act on different objects. ✓
Method. Subtract the smaller force.
- Subtract. 12 - 5 = 7.12 - 5 = 7
- Write the answer. 7
Check. 5 + 7 = 12. ✓
Method. Recall the rule.
- Recall. The gradient is the acceleration.gradient is acceleration
- Write the answer. acceleration
Check. Area gives distance. ✓
Method. Gradient = change in velocity / time.
- Calculate. 10 / 5 = 2.10 / 5 = 2
- Write the answer. 2
Check. 2 x 5 = 10. ✓
Method. Recall the name.
- Recall. It is called terminal velocity.terminal velocity
- Write the answer. terminal velocity
Check. The forces balance. ✓
Method. Think about the objects.
- Think. Each force acts on a different object.different object
- Conclude. So they cannot cancel each other out.cannot cancel
- Write the answer. Accept any sentence saying the forces act on different objects.
Check. Cancelling needs the same object. ✓
Total 21 marks. Allow about 21 minutes.
Exercise 12X Practice test questions
Method. Recall the equation.
- Recall. Pressure is force divided by area.force divided by area
- Write the answer. pressure = force / area
Check. p = F / A. ✓
Method. Recall the rule.
- Recall. At height there is less air above, so the pressure is less.less air above
- Write the answer. decrease
Check. Air pressure falls with height. ✓
Method. Use p = F / A.
- Divide. 600 / 0.5 = 1200.600 / 0.5 = 1200
- Write the answer. 1200
Check. 1200 x 0.5 = 600. ✓
Method. Use Newton's third law.
- Think. The wall pushes back with an equal and opposite force.equal and opposite
- Conclude. So the wall pushes him with 40 N.40
- Write the answer. 40
Check. Equal in size. ✓
Method. Use a = F / m.
- Divide. a = 12 / 4 = 3.12 / 4 = 3
- Write the answer. 3
Check. 4 x 3 = 12. ✓
Method. Think about the liquid above.
- Think. The bottom has more liquid above it.more liquid above
- Conclude. So the pressure at the bottom is greater.greater
- Write the answer. Accept any sentence saying there is more liquid above the bottom, so the pressure is greater.
Check. The weight of the liquid above adds to the pressure. ✓
Method. Area = speed x time for a steady speed.
- Calculate. 10 x 10 = 100 m.10 x 10 = 100
- Write the answer. 100
Check. 100 / 10 = 10 m/s. ✓
Method. Describe the balance and the result.
- Forces. The drag from the air equals the weight of the parachutist.equals the weight
- Balance. The forces balance, so the resultant force is zero.resultant is zero
- Result. So the speed is steady, and the acceleration is zero.speed is steady
- Write the answer. Accept any answer saying the drag equals the weight, so the forces balance and the speed is steady.
Check. Three parts make full marks. ✓
Method. Use a = F / m.
- Divide. a = 10 / 2 = 5.10 / 2 = 5
- Write the answer. 5
Check. 2 x 5 = 10 N. ✓
Method. Name the force, then its change.
- Name. The force is drag, also called air resistance.drag
- Change. It increases as the object speeds up.increases as
- Write the answer. Accept any answer naming drag or air resistance, which increases with speed.
Check. Drag grows with speed. ✓
Method. Calculate, then compare.
- Calculate. p = 30 / 0.02 = 1500 Pa.30 / 0.02 = 1500
- Compare. A bigger area spreads the force, so the pressure is smaller.smaller
- Write the answer. 1500, smaller
Check. 1500 x 0.02 = 30 N. ✓