Resultant Forces (Edexcel IGCSE Science (Double Award))
Revision Note
Calculating resultant force
What is a resultant force?
A resultant force is a single force that describes all of the forces operating on a body
When multiple forces act on one object, the forces can be combined to produce one net force that describes the combined action of all of the forces
This single resultant force determines:
The direction in which the object will move as a result of all of the forces
The magnitude of the net force experienced by the object
Adding forces to find the resultant force
Resultant forces can be calculated by adding all of the forces acting on the object
Forces working in opposite directions are subtracted from each other
Forces working in the same direction are added together
If the forces acting in opposite directions are equal in size, then there will be no resultant force – the forces are said to be balanced
Diagram showing the resultant forces on three different objects
Imagine the forces on the boxes as two people pushing on either side
In the first scenario, the two people are evenly matched - the box doesn't move
In the second scenario, the two people are pushing on the same side of the box, it moves to the right with their combined strength
In the third scenario, the two people are pushing against each other and are not evenly matched, so there is a resultant force to the left
Worked Example
Calculate the magnitude and direction of the resultant force in the diagram below.
Answer:
Step 1: Add up all of the forces directed to the right
4 N + 8 N = 12 N
Step 2: Subtract the forces on the right from the forces on the left
14 N – 12 N = 2 N
Step 3: Evaluate the direction of the resultant force
The force to the left is greater than the force to the right therefore the resultant force is directed to the left
Step 4: State the magnitude and direction of the resultant force
The resultant force is 2 N to the left
Examiner Tips and Tricks
When calculating resultant forces, always remember to provide units for your answer and to state whether the force is to the left, to the right, or maybe up or down. Always provide your final answer as a description of the magnitude and the direction, for example:
Resultant Force = 4 N to the right
Friction
Friction is defined as:
A force which opposes the motion of an object
Frictional forces always act in the opposite direction to the object's motion
Friction occurs when two (or more) surfaces rub against each other
At a molecular level, both surfaces contain imperfections - i.e. they are not perfectly smooth
These imperfections tend to push against each other
Friction acting between the surface of a sledge and the surface of the snow
Friction is a force which opposes an objects motion, acting in the opposite direction to the motion of the object
Examiner Tips and Tricks
Remember from the revision note Types of Forces that drag force is a type of friction that acts to oppose the motion of objects moving through a fluid (a liquid or a gas).
Air resistance is a type of drag force, and therefore a type of friction, that acts to oppose the motion of objects moving through air.
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