FoxChild@Learn
Forces are everywhere. Every time you open a door, ride a bike, kick a football, sit on a chair, jump, brake, swim, or pick up a bag, forces are involved. A force is a push, pull, twist, stretch, or squeeze. Forces can change an object's speed, direction, or shape.
Forces are measured in Newtons, written as N. A small force might be a push of 2 N on a pencil. A much larger force might be a 600 N weight acting on a person. Forces have both size and direction, so scientists often show them with arrows. A longer arrow represents a larger force, and the arrow points in the direction in which the force acts.
Objects often have several forces acting on them at the same time. To understand what happens, we need to think about the resultant force. The resultant force is the single overall force after all the forces have been combined. If the resultant force is zero, the forces are balanced. If the resultant force is not zero, the forces are unbalanced.
Balanced forces do not always mean an object is stationary. A stationary object with balanced forces stays stationary, but a moving object with balanced forces continues moving at a steady speed in a straight line. Unbalanced forces can make an object speed up, slow down, change direction, or change shape.
A force is a push, pull, twist, stretch, or squeeze. Forces are caused by interactions between objects. Sometimes the objects touch. Sometimes they do not.
Forces can:
For example, when you kick a football, your foot applies a contact force to the ball. The ball speeds up and changes shape very briefly during the kick. Once the ball is moving through the air, gravity pulls it downwards and air resistance acts against its motion.
Forces are measured using a force meter, sometimes called a Newton meter. The unit of force is the Newton, named after Isaac Newton. The symbol is N.
Because forces have size and direction, it is not enough to say "there is a force of 20 N". A better scientific answer says where the force acts, what type of force it is, and which direction it acts in. For example:
Forces can be divided into two main groups: contact forces and non-contact forces.
A contact force acts when objects touch. For example, friction acts when surfaces rub or try to slide past each other. Tension acts in a stretched rope or string. A normal contact force acts when a surface pushes back on an object.
A non-contact force acts without objects touching. Gravity, magnetic forces, and electrostatic forces are non-contact forces. These forces can act at a distance.
| Force name | Type | What it acts on | Everyday example |
|---|---|---|---|
| Friction | Contact | Surfaces that slide or try to slide | Bike brakes slowing a wheel |
| Air resistance | Contact | Objects moving through air | A parachute slowing a parachutist |
| Water resistance | Contact | Objects moving through water | A swimmer being slowed by water |
| Normal contact force | Contact | An object resting on or pressing against a surface | A table pushing up on a book |
| Tension | Contact | A stretched rope, string, chain, or cable | A rope pulling a sledge |
| Upthrust | Contact | Objects in fluids such as water or air | Water pushing up on a boat |
| Applied push or pull | Contact | An object being pushed or pulled | A person pushing a trolley |
| Gravity | Non-contact | Objects with mass | Earth pulling a ball downwards |
| Magnetic force | Non-contact | Magnetic materials and magnets | A magnet attracting a steel paperclip |
| Electrostatic force | Non-contact | Charged objects | A rubbed balloon attracting hair |
Contact and non-contact forces are both real forces. Non-contact forces can seem surprising because objects do not need to touch, but gravity, magnetism, and electrostatic attraction or repulsion can all produce measurable effects.
Gravity is a non-contact force of attraction between masses. Near Earth, gravity pulls objects towards the centre of the Earth. This force acts all the time, not only when objects are falling.
Mass and weight are not the same thing.
Mass is the amount of matter in an object. It is measured in kilograms, written as kg. Your mass would be the same on Earth and on the Moon because you are made of the same amount of matter.
Weight is the force of gravity acting on an object. It is measured in Newtons, written as N. Your weight would be smaller on the Moon because the Moon's gravity is weaker than Earth's gravity.
| Feature | Mass | Weight |
|---|---|---|
| Meaning | Amount of matter in an object | Force of gravity on an object |
| Unit | kilogram, kg | Newton, N |
| Type of quantity at KS3 | A property of the object | A force |
| Changes on different planets? | No, not unless matter is added or removed | Yes, because gravity can be different |
| Measuring instrument | Balance | Force meter |
| Example | A bag has a mass of 3 kg | The bag has a weight of about 30 N on Earth |
At KS3, it is most important to remember that mass is measured in kg and weight is measured in N. Weight is a force caused by gravity.
A book resting on a table has gravity pulling it down. This downward force is the book's weight. The table also pushes up on the book with a normal contact force. If the upward force is equal to the downward force, the forces are balanced and the book stays still.
Normal contact force = 8 N
^
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[ book ]
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v
Weight = 8 N
Resultant force = 0 N, so the book remains at rest.
Friction is a contact force that opposes sliding or attempted sliding between surfaces. It acts in the opposite direction to the motion, or the direction the object is trying to move.
Friction can be useful:
Friction can also be unwanted:
Friction can be increased by using rougher surfaces, adding grip patterns, pressing surfaces together more strongly, or using rubber. Friction can be reduced by using smoother surfaces, lubricants such as oil, wheels, rollers, or streamlined shapes when moving through fluids.
Air resistance is a contact force that opposes motion through air. It acts opposite to the direction of motion. Air resistance is larger when an object moves faster, has a larger surface area, or has a less streamlined shape.
Water resistance is a contact force that opposes motion through water. It is important for swimmers, boats, fish, submarines, and falling objects in water. Streamlined shapes reduce water resistance.
| Force | Where the force acts | What it opposes | How it can be increased | How it can be reduced |
|---|---|---|---|---|
| Friction | Between touching solid surfaces | Sliding or attempted sliding | Rougher surfaces, more grip, pressing surfaces together | Lubricants, smoother surfaces, wheels |
| Air resistance | Between an object and air | Motion through air | Larger surface area, higher speed, less streamlined shape | Streamlining, smaller surface area |
| Water resistance | Between an object and water | Motion through water | Larger surface area, higher speed, less streamlined shape | Streamlining, smooth surfaces |
When a ball falls, gravity pulls it downwards. As it moves through the air, air resistance acts upwards, opposite to the motion.
Air resistance
^
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[ ball ]
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v
Weight
At first, the ball may have a large downward resultant force because air resistance is small. As the ball gets faster, air resistance increases. If air resistance becomes equal to weight, the forces are balanced and the ball falls at a steady speed.
Before a parachute opens, the parachutist has weight downwards and air resistance upwards. As speed increases, air resistance increases. When the parachute opens, the surface area becomes much larger, so air resistance increases greatly.
Large air resistance
^
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\---------/
\ /
\_____/
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[person]
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v
Weight
The large upward air resistance gives an upward resultant force for a short time, so the parachutist slows down. Later, the forces may become balanced again, and the parachutist falls at a lower steady speed.
Force diagrams are simplified models. They do not show every detail of a real object. They help us think clearly about the forces acting on an object.
Rules for force diagrams:
Longer arrow = larger force
Shorter arrow = smaller force
Arrow direction = direction of force
Friction = 20 N <---- [ box ] ----> Push = 50 N
Resultant force = 30 N to the right
The push is larger than friction, so the forces are unbalanced. The resultant force is 30 N to the right. If the box is free to move, it will speed up to the right.
Team A pulls 300 N <---- [ rope ] ----> Team B pulls 260 N
Resultant force = 40 N to the left
The forces act in opposite directions. Team A's pull is larger, so the resultant force is 40 N to the left.
The resultant force is the single overall force after combining all the forces acting on an object. It has a size and a direction, unless it is zero.
When forces act in the same direction, add them.
When forces act in opposite directions, subtract the smaller force from the larger force. The direction of the resultant force is the direction of the larger force.
If equal forces act in opposite directions, they cancel out. The resultant force is 0 N.
A student pushes a trolley with 35 N. Another student pushes in the same direction with 20 N.
Step 1: Identify the directions.
Both forces act in the same direction.
Step 2: Add the forces.
35 N + 20 N = 55 N
Step 3: State the answer with direction.
The resultant force is 55 N in the direction of the pushes.
A box is pushed right with 60 N. Friction acts left with 25 N.
Step 1: Identify the larger force.
The larger force is 60 N to the right.
Step 2: Subtract the smaller force.
60 N - 25 N = 35 N
Step 3: State the answer with direction.
The resultant force is 35 N to the right.
If the box is free to move, it will speed up to the right because the resultant force acts to the right.
A book has a weight of 8 N downwards. The table pushes up with a normal contact force of 8 N.
Step 1: Identify the forces.
Weight = 8 N downwards. Normal contact force = 8 N upwards.
Step 2: Compare the forces.
The forces are equal in size and opposite in direction.
Step 3: Find the resultant force.
8 N - 8 N = 0 N
The resultant force is 0 N. The forces are balanced, so the book remains at rest.
A cyclist pedals with a forward force of 120 N. Air resistance and friction total 120 N backwards.
The forward and backward forces are equal, so the resultant force is 0 N. The forces are balanced. If the cyclist is already moving, the cyclist continues at a steady speed in a straight line.
A car is moving forwards. The driving force becomes smaller because the driver stops accelerating and applies the brakes. Friction from the brakes and tyres, plus air resistance, acts backwards.
If the backward forces are larger than the forward driving force, the resultant force is backwards. A backward resultant force on a forward-moving car makes the car slow down.
Balanced forces are equal in size and opposite in direction. Their resultant force is 0 N.
Unbalanced forces do not cancel out. Their resultant force is not 0 N.
| Feature | Balanced forces | Unbalanced forces |
|---|---|---|
| Resultant force | 0 N | More than 0 N |
| Effect on a stationary object | Remains stationary | Starts moving in the direction of the resultant force |
| Effect on a moving object | Continues at steady speed in a straight line | Speeds up, slows down, or changes direction |
| Example | A book resting on a table | A trolley pushed harder forwards than friction acts backwards |
A common mistake is to think balanced forces always mean an object is not moving. This is not correct. Balanced forces mean there is no change in motion. The object may be stationary, or it may already be moving at steady speed in a straight line.
Forces explain changes in motion. The key question is: what is the resultant force?
If the resultant force acts in the same direction as the motion, the object speeds up.
If the resultant force acts opposite to the motion, the object slows down.
If the resultant force acts sideways, the object changes direction.
If the resultant force is zero, the object stays stationary or continues moving at steady speed in a straight line.
During the kick, the football experiences an applied contact force from the foot. This force changes the ball's speed, direction, and shape very briefly. After the ball leaves the foot, gravity pulls it downwards and air resistance acts opposite to its motion.
When a cyclist starts moving, the forward driving force from pedalling is larger than the backward forces of friction and air resistance. The resultant force is forwards, so the cyclist speeds up.
At steady speed, the forward force equals the backward forces. The forces are balanced, so the cyclist continues at steady speed in a straight line.
When the cyclist brakes, the backward forces are larger than the forward driving force. The resultant force is backwards, so the cyclist slows down.
When the cyclist turns, there must be a sideways resultant force. Friction between the tyres and the road helps change the cyclist's direction.
Trainers increase friction between shoes and the ground, helping athletes grip and change direction. Bike tyres and car tyres also need friction to grip the road.
Seat belts apply a force to slow a passenger during a sudden stop. Helmets and crumple zones help by increasing the time taken to stop. A longer stopping time means the stopping force can be smaller, which can reduce injury. This is a simple KS3 idea: safety equipment does not remove forces, but it can make forces act in a safer way.
Gravity can act at a distance. Satellites orbit planets because gravity keeps changing their direction. At KS3, you do not need to calculate orbits, but you should know that gravity is still acting even when an object is in space.
| Keyword | Meaning |
|---|---|
| Force | A push, pull, twist, stretch, or squeeze that can change motion or shape |
| Newton | The unit of force, written as N |
| Gravity | A non-contact force of attraction between masses |
| Friction | A contact force that opposes sliding or attempted sliding |
| Resultant force | The single overall force after combining forces |
| Balanced forces | Forces that cancel out because they are equal and opposite, giving 0 N resultant force |
| Unbalanced forces | Forces that do not cancel out, giving a non-zero resultant force |
| Air resistance | A contact force that opposes motion through air |
| Water resistance | A contact force that opposes motion through water |
| Normal contact force | A force from a surface pushing on an object touching it |
| Tension | A pulling force in a stretched rope, string, cable, or chain |
| Upthrust | An upward force from a fluid such as water or air |
| Mass | The amount of matter in an object, measured in kg |
| Weight | The force of gravity on an object, measured in N |
| Contact force | A force that acts when objects touch |
| Non-contact force | A force that acts without objects touching |
| Independent variable | The variable deliberately changed in an investigation |
| Dependent variable | The variable measured in an investigation |
| Control variable | A variable kept the same to make a test fair |
| Reliability | How trustworthy results are, often improved by repeats |
| Repeatability | Getting similar results when the same method is repeated |
| Accuracy | How close a measurement is to the true value |
| Precision | How close repeated measurements are to each other |
How does surface type affect the force needed to move a block?
Different surfaces produce different amounts of friction. Rougher surfaces usually produce more friction, so a larger force is needed to pull the same block at a steady speed.
The block will need the greatest pulling force on sandpaper because sandpaper is the roughest surface. The block will need the smallest pulling force on smooth plastic because the surface is smoother.
| Variable type | Variable | How to measure or control it |
|---|---|---|
| Independent variable | Surface type | Change the surface: smooth plastic, wood, carpet, sandpaper |
| Dependent variable | Force needed to pull the block | Measure with a force meter in N |
| Control variable | Same block | Use the same block each time |
| Control variable | Same added mass | Keep the same mass on the block |
| Control variable | Same pulling speed | Pull steadily at a slow, constant speed |
| Control variable | Same force meter | Use the same force meter for all readings |
| Control variable | Same distance pulled | Pull the block over the same distance each time |
Safety points:
| Surface | Reading 1 (N) | Reading 2 (N) | Reading 3 (N) | Mean force (N) |
|---|---|---|---|---|
| Smooth plastic | 1.2 | 1.3 | 1.1 | 1.2 |
| Wood | 2.0 | 2.1 | 2.2 | 2.1 |
| Carpet | 3.4 | 3.6 | 3.5 | 3.5 |
| Sandpaper | 4.8 | 7.9 | 5.0 | 4.9 if anomaly ignored |
The sandpaper result of 7.9 N is likely to be anomalous because it is much higher than the other sandpaper readings. The student may have jerked the force meter or the block may have caught on the surface. A good scientific response is to repeat the sandpaper test. If the new result is close to 4.8 N and 5.0 N, the anomalous 7.9 N should not be used in the mean.
Mean for sandpaper without the anomaly:
4.8 N + 5.0 N = 9.8 N
9.8 N / 2 = 4.9 N
The rougher surfaces needed a larger pulling force. Smooth plastic had the lowest mean force, 1.2 N. Sandpaper had the highest mean force, about 4.9 N when the anomalous result was ignored. This supports the prediction that rougher surfaces produce more friction.
The method could be improved by:
The results are more reliable if repeated readings are close together. They are more repeatable if another student can follow the same method and get similar results.
The table shows how air resistance changes as the speed of a model car increases in a wind tunnel.
| Speed (m/s) | Air resistance (N) |
|---|---|
| 0 | 0 |
| 2 | 1 |
| 4 | 4 |
| 6 | 9 |
| 8 | 16 |
| 10 | 25 |
Simple bar chart:
Air resistance (N)
25 | █
20 | █
15 | █ █
10 | █ █ █
5 | █ █ █ █
0 | █ █ █ █ █ █
0 2 4 6 8 10 Speed (m/s)
Pattern: as speed increases, air resistance increases. The increase is not equal each time. At higher speeds, air resistance rises more quickly.
Explanation: a faster object collides with more air particles each second, so the force of air resistance is greater. Shape and surface area also affect air resistance.
Limitation: the graph uses simplified data from a model. Real cars may have different shapes, surfaces, and wheel friction, so the exact values may be different.
Study this force diagram.
Air resistance = 40 N
<----
[ cyclist ] ---->
Driving force = 90 N
Questions:
Model answers:
Now study this diagram.
Water resistance = 70 N
<----
[ boat ] ---->
Engine force = 70 N
The forces are equal and opposite, so the resultant force is 0 N. If the boat is already moving, it continues at steady speed in a straight line.
| Misconception | Correct scientific idea |
|---|---|
| Moving objects always need a forward force to keep moving. | If forces are balanced, an object can continue moving at steady speed in a straight line. |
| Balanced forces mean an object must be stationary. | Balanced forces can mean stationary or moving at steady speed in a straight line. |
| A larger object always has a larger force acting on it in every situation. | Force depends on the interaction, not only object size. |
| Gravity only acts when objects are falling. | Gravity acts on objects all the time near Earth, including when they rest on a surface. |
| Weight and mass are the same thing. | Mass is the amount of matter in kg. Weight is a force in N caused by gravity. |
| Friction always stops objects immediately. | Friction opposes motion, but the effect depends on the size of the forces. |
| Friction is always bad. | Friction is useful for walking, writing, gripping, braking, and many sports. |
| The arrow in a force diagram shows where the object is moving. | A force arrow shows the direction of a force, not necessarily the direction of motion. |
| The biggest individual force is always the resultant force. | The resultant force is the overall force after combining all forces. |
| If the resultant force is zero, there are no forces acting. | Forces may still act, but they cancel because they are equal and opposite. |
| Air resistance only acts upwards. | Air resistance acts opposite to motion through air. |
| Non-contact forces are not real because objects do not touch. | Gravity, magnetic forces, and electrostatic forces can act at a distance. |
The book's weight acts downwards. The table's normal contact force acts upwards. If both forces are 8 N, the resultant force is 0 N. The book stays still.
Two teams pull in opposite directions. If Team A pulls with 300 N and Team B pulls with 260 N, the resultant force is 40 N towards Team A. If both teams pull with equal force, the rope may remain still because the forces are balanced.
A cyclist starting from rest needs a forward resultant force. At steady speed, the forward driving force is balanced by friction and air resistance. When braking, the backward forces are larger than the forward force, so the cyclist slows down.
A swimmer pushes water backwards. The water pushes the swimmer forwards. Water resistance acts backwards, opposing the swimmer's motion. Streamlined body position helps reduce water resistance.
A car can move at steady speed even though forces act on it. The engine provides a forward driving force. Friction and air resistance act backwards. At steady speed in a straight line, these forces are balanced.
For each question, give the size and direction of the resultant force.
| Situation | Working | Answer |
|---|---|---|
| Push 30 N right, friction 10 N left | 30 N - 10 N | 20 N right |
| Pull 15 N left, pull 15 N right | 15 N - 15 N | 0 N |
| Push 40 N right, extra push 25 N right | 40 N + 25 N | 65 N right |
| Team A 500 N left, Team B 450 N right | 500 N - 450 N | 50 N left |
| Engine 200 N forwards, resistance 120 N backwards | 200 N - 120 N | 80 N forwards |
| Weight 12 N down, upthrust 8 N up | 12 N - 8 N | 4 N down |
Remember: if the resultant force is not zero, include a direction.
For each scenario, decide whether the forces are balanced or unbalanced, then explain the motion.
| Scenario | Balanced or unbalanced? | Explanation |
|---|---|---|
| A bus accelerates away from a stop. | Unbalanced | The forward driving force is larger than the backward resistance forces, so the bus speeds up. |
| A skateboard slows down on a rough path. | Unbalanced | Friction acts backwards and gives a resultant force opposite the motion, so the skateboard slows down. |
| A boat moves at steady speed in a straight line. | Balanced | The engine force forwards equals water resistance backwards, so the resultant force is 0 N. |
| A ball sits still on the floor. | Balanced | Weight downwards is balanced by the normal contact force upwards. |
| A cyclist turns a corner. | Unbalanced sideways | A sideways resultant force changes the cyclist's direction. |
What is the unit of force?
A. kilogram
B. metre
C. Newton
D. second
Which force is non-contact?
A. friction
B. tension
C. gravity
D. water resistance
A box has a push of 50 N right and friction of 20 N left. What is the resultant force?
A. 70 N right
B. 30 N right
C. 30 N left
D. 0 N
Which statement about balanced forces is correct?
A. Balanced forces mean no forces are acting.
B. Balanced forces always make an object stop instantly.
C. Balanced forces give a resultant force of 0 N.
D. Balanced forces only happen in space.
Air resistance acts:
A. always upwards
B. opposite to motion through air
C. only when an object is stationary
D. in the same direction as gravity
Which pair is correct?
A. mass in N, weight in kg
B. mass in kg, weight in N
C. mass in metres, weight in seconds
D. mass and weight both in N
Use these words: Newtons, gravity, friction, resultant, balanced, direction, weight, mass.
Use the friction investigation results table.
Use the air resistance table.
A student wants to test the question: "How does surface type affect the force needed to move a block?"
Write a method for the investigation. Include:
Explain how the forces on a cyclist change when the cyclist starts moving, travels at steady speed, and then brakes. Use the terms resultant force, balanced forces, unbalanced forces, friction, and air resistance.
The smooth plastic surface had the lowest mean force, 1.2 N. The sandpaper surface had the greatest friction because it needed the largest pulling force, about 4.9 N when the anomalous result was ignored. The anomalous result is 7.9 N for sandpaper because it is much higher than the other sandpaper readings. This may have happened because the block caught on the surface or the student pulled with a sudden jerk. Repeats are useful because they make the results more reliable and help identify anomalies.
Mean for wood:
2.0 N + 2.1 N + 2.2 N = 6.3 N
6.3 N / 3 = 2.1 N
For the air resistance data, air resistance increases as speed increases. For example, at 2 m/s the air resistance is 1 N, but at 10 m/s it is 25 N. Faster objects have greater air resistance because they collide with more air particles each second. One limitation is that the data is simplified and may not match every real vehicle or object shape.
The independent variable is the surface type. The dependent variable is the force needed to pull the block, measured in Newtons using a force meter. Control variables include the same block, same added mass, same pulling distance, same force meter, and the same pulling speed.
Place the block on smooth plastic and attach a force meter. Pull the block steadily at a slow, constant speed and record the force in N. Repeat three times. Repeat the same method for wood, carpet, and sandpaper. Calculate a mean force for each surface and compare the results. To improve reliability, repeat readings and replace anomalous results with extra repeats. A safety point is to pull the force meter steadily and not release it suddenly.
When the cyclist starts moving, the forward driving force from pedalling is larger than the backward forces from friction and air resistance. The forces are unbalanced, so there is a forward resultant force. This makes the cyclist speed up.
When the cyclist travels at steady speed in a straight line, the forward driving force is equal to the backward forces from friction and air resistance. The forces are balanced and the resultant force is 0 N. This does not mean the cyclist must stop. It means the cyclist continues moving at steady speed in a straight line.
When the cyclist brakes, the forward driving force becomes smaller and the backward forces become larger. Friction from the brakes and tyres acts backwards, and air resistance also acts backwards. The forces are unbalanced and the resultant force is backwards, opposite to the cyclist's motion. This makes the cyclist slow down.
A strong answer uses the terms balanced forces, unbalanced forces, resultant force, friction, and air resistance correctly, and links each force situation to the cyclist's motion.
Use this checklist before a quiz or test.
Answers: