# Forces RELATED OPTIONS - Click for drop-down menu Archimedes Principle Center of Gravity (Mass) Circular Motion Density Dynamics Graphs: Velocity/Time and Displacement/Time Graphs Floating and sinking Friction Gravity Hooke's Law Machines Mass Moments Momentum Newton's Laws of Motion Power Pressure Projectiles Stability Stopping Distances Terminal Velocity Vectors and Scalars Weight Work done by a force Young's Modulus Y11 - Discussion topics - Driving

are evident by interactions between objects and/or their surroundings.

We can have contact forces (where the force comes from two objects pushing against each other) or remote forces (force fields acting - electric force or magnetic force for example).

• A force is a push, pull or twist.
• Force has both magnitude (size) and direction - it is a vector.
• It makes an object start to move, move faster or slower or turn or deform...
• It results in acceleration and/or deformation.

### Unit of force

• Forces are measured in newtons (N) after the famous scientist Sir Issac Newton. The newton is the unit of force. One newton is the force needed to give a mass of one kilogram an acceleration of one metre per second squared.

### Driving forces and counter (resistive) forces

• Forces are vectors. This means that as well as their size (sometimes called 'magnitude', the direction they act in matters. When you add them together you have to consider this.

• Forces that push an object in the direction it is already travelling make it accelerate (speed up!). These forces are called driving forces.
• Friction is never a driving force!
• Gravity is a driving force if you are going downhill and
• the wind is a driving force if it is at your back.
• Forces that push an object in the opposite direction to that it is already travelling in make it decelerate - undergo negative acceleration or slow down. These forces are called counter forces or resistive forces.
• Friction is always a resistive force!
• Gravity is a resistive force if you are trying to go up hill and
• the wind is a resistive force is it is in your face.
• If driving forces equal counter forces there is no net force acting on a system and the state of rest or motion will be unchanged.
• This means that if the body is stationary it will stay that way,
• if it is travelling at a particular speed it will carry on at that speed.
• The counter force and driving force cancel each other out.... therefore there is neither acceleration nor deceleration!
• The system is a balanced force system.
• This constant velocity is sometimes called the terminal velocity of the system.
• If driving forces do not equal counter forces there is a net force acting on a system and the state of rest or motion will be changed. The counter force and driving force do NOT cancel each other out.... therefore there is either acceleration (if the driving force wins!) or deceleration (if the counter force wins!) The system is a unbalanced force system.

At GCSE you will only have to add together co-linear forces, but at A level you will have to resolve the forces into horizontal and vertical components and then add those components.

### Balanced Force Systems and Unbalanced Force Systems

Balanced forces will have no effect on the movement of an object: it will remain stationary or, if it is already moving it will continue to move at the same speed and in the same direction.

If the forces acting on an object do not cancel each other out, an unbalanced force will act on the object.

This unbalanced force will affect the movement of the object. How the movement is affected depends on the direction and the size of the unbalanced force:

• a stationary object will start to move in the direction of the unbalanced force;
• an object moving in the direction of the force will speed up;
• an object moving in the opposite direction to the force will slow down;
• the greater the size of the unbalanced force, the faster the object will speed up or slow down.

When an unbalanced force acts on an object in a particular direction its speed changes (it accelerates) in that direction. The greater the force, the greater the acceleration. The bigger the mass of an object, the greater the force needed to give the object a particular acceleration.

Click here to see a BBC Learning Zone video on this subject

There is an equation that links force to the acceleration it causes. It is called Newton's Equation:

# F = ma

F
= the force (in newton)
m
= the mass of the object the force is applied to (in kilogram)
a
= the acceleration produced when the force acts on the mass

The acceleration produced on all masses when they are near the Earth's surface is called the acceleration due to gravity.

• This is the same whatever the mass of the object!
• If you drop a box of feathers from the top of a building at the same time as a friend drops a box (of same size and dimensions) of lead from the same height, they will both reach the ground at the same time! They will both accelerate at 10m/s2. (We would have to make the containers the same size and shape to cancel out the effect of air resistance).

If we drop items from the same height on the moon, however, their shape and size makes no difference as there is no atmosphere and therefore no air resistance.

See this video:

The force that acts on the mass of an object because of gravity is called its weight. Therefore weight is a force and is measured in newtons.

Weight is the force of gravity acting on a mass that is positioned in a gravitational field.

We use graphs to describe how the motion of a body changes.

Velocity/Time graphs and Displacement/Time graphs are important in both Physics and Mathematics. You need to understand how to interpret them

 Try this useful learning tool to help you learn this topic and/or test your knowledge... KS3 Questions and solutions