
Newton's First Law of motion predicts the behaviour of objects for which all existing forces are balanced. The First Law states that objects with balanced forces acting on them will stay at rest, or in constant motion.
Newton discovered that objects will continue to do what they are doing until a net, or unbalanced force, acts on the object.
From this we can determine that:
We can also determine that forces acting on an object can change:
When an unbalanced force acts on an object Newton discovered that:
This is Newton's Second Law.
The unit of force is called the newton (N).
1 newton is defined as that unbalanced force which produces an acceleration of 1 ms-2 when it acts on a mass of 1 kg. An average sized apple weighs about 1 newton.
Newton's Second Law can be written as the following relationship:
F = ma
F = unbalanced force
m = mass
a = acceleration
When you use this relationship - F always stands for unbalanced force.
An aircraft of mass of 1200 kg starts from rest and accelerates along a straight horizontal runway. The aircraft engine produces a constant thrust of 3400 N. A constant frictional force of 400 N acts on the aircraft.
Calculate the acceleration of the aircraft.
m = 1200 kg
Fengine = 3400 N
Ffriction = 400 N
F = (3400 - 400) = 3000 N
F = ma
3000 = 1200 × a
a = 2.5 ms-2
In some situations, forces on an object act in more than one dimension. For example, for an aircraft in flight there are at least four forces acting:
When you are doing this kind of problem, always work in one dimension at a time.
A submarine is travelling horizontally at a steady speed of 10 ms-1 due West at a constant depth of 15 m below the surface of the sea.
Draw a labelled diagram to show the forces acting on the submarine. You must name each force and show the direction in which each force is acting.

Now state the resultant force acting on the submarine.
The horizontal motion is at a constant speed in a straight line, as such the horizontal forces balance.
The depth below the surface of the sea is constant so vertical forces are balanced.
Therefore, the resultant force on submarine is zero.
The words 'buoyancy' and 'gravity' on their own are not forces - you must always state 'buoyancy force' or 'gravity force' when you use these terms to label forces.