Forces
Recap of BGE
Recap of BGE
In the BGE course, Forces were covered in great detail. The following facts were covered:-
In the BGE course, Forces were covered in great detail. The following facts were covered:-
A Force can be seen as a push, a pull, or a twist.
A Force can be seen as a push, a pull, or a twist.
A Force can change the shape, speed or direction of an object.
A Force can change the shape, speed or direction of an object.
A Force has the units of Newtons.
A Force has the units of Newtons.
Measuring Forces
Measuring Forces
A Force is measured with a Newton balance. A Newton balance consists of a spring with an attached scale. As Force is applied, the spring is extended.
A Force is measured with a Newton balance. A Newton balance consists of a spring with an attached scale. As Force is applied, the spring is extended.
Balanced Forces
Balanced Forces
When two identical Forces act in opposite directions, they cancel each other out.
When two identical Forces act in opposite directions, they cancel each other out.
Newton's First Law
Newton's First Law
The above understanding of Forces allowed Isaac Newton to develop the 1st of his three laws of Forces :-
The above understanding of Forces allowed Isaac Newton to develop the 1st of his three laws of Forces :-
"An object will remain at rest or travel in a straight line with a constant speed, unless an unbalanced Force acts upon it"
"An object will remain at rest or travel in a straight line with a constant speed, unless an unbalanced Force acts upon it"
Terminal Velocity
Terminal Velocity
When a skydiver jumps out of a plane, they accelerate (see unbalanced Forces below). After a short time, however, they reach their maximum Speed. This maximum Speed is called their Terminal Velocity.
When a skydiver jumps out of a plane, they accelerate (see unbalanced Forces below). After a short time, however, they reach their maximum Speed. This maximum Speed is called their Terminal Velocity.
This happens because the two forces acting on the skydiver are balanced.
This happens because the two forces acting on the skydiver are balanced.
The Air Resistance that they experience is equal in size and in opposite direction to their Weight:-
The Air Resistance that they experience is equal in size and in opposite direction to their Weight:-
Note - By changing their body shape (making themselves more streamlined), the skydiver can alter their air resistance, changing their Terminal Velocity.
Note - By changing their body shape (making themselves more streamlined), the skydiver can alter their air resistance, changing their Terminal Velocity.
Unbalanced Force
Unbalanced Force
When an object experiences an unbalanced Force, the object will Accelerate. This can either be caused by only one Force acting (as in the diagram below), or by two unequal Forces acting in opposite directions.
When an object experiences an unbalanced Force, the object will Accelerate. This can either be caused by only one Force acting (as in the diagram below), or by two unequal Forces acting in opposite directions.
Newton's Second Law
Newton's Second Law
The above understanding of Forces allowed Isaac Newton to develop the 2nd of his three laws of Forces:-
The above understanding of Forces allowed Isaac Newton to develop the 2nd of his three laws of Forces:-
"An unbalanced Force acting on an object will cause the object to Accelerate. The size of that acceleration will depend on the size of the Force and the Mass of the object."
"An unbalanced Force acting on an object will cause the object to Accelerate. The size of that acceleration will depend on the size of the Force and the Mass of the object."
The above Law is more commonly described as the formula below:-
The above Law is more commonly described as the formula below:-
F = m x a
F = m x a
Where :-
Where :-
F = Unbalanced Force (N)
F = Unbalanced Force (N)
m = Mass of Object (kg)
m = Mass of Object (kg)
a = Acceleration of Object (ms-2)
a = Acceleration of Object (ms-2)
Example 1 -
Example 1 -
A truck of mass 2000 kg is acted upon by two forces as shown in the diagram below:-
A truck of mass 2000 kg is acted upon by two forces as shown in the diagram below:-
Calculate:-
Calculate:-
The unbalanced Force acting on the object.
The unbalanced Force acting on the object.
The Acceleration experienced by the object.
The Acceleration experienced by the object.
Unbalanced Force = 50000 - 45000
Unbalanced Force = 50000 - 45000
Unbalanced Force = 5000 N (to the right)
Unbalanced Force = 5000 N (to the right)
F = m x a
F = m x a
a = F / m
a = F / m
a = 5000 / 2000
a = 5000 / 2000
a = 2.5 ms-2 in the forward direction.
a = 2.5 ms-2 in the forward direction.
Note - Force is a Vector, so a direction must be given.
Note - Force is a Vector, so a direction must be given.
Motion Case Study : Skydiving
Motion Case Study : Skydiving
The video below shows how the motion of a skydiver is affected by the changing forces they experience:-
The video below shows how the motion of a skydiver is affected by the changing forces they experience:-
The following Velocity-Time graph shows the motion of a skydiver during a jump. By observation of the graph, it is possible to identify key times in the jump process:-
The following Velocity-Time graph shows the motion of a skydiver during a jump. By observation of the graph, it is possible to identify key times in the jump process:-
Newton's Third Law
Newton's Third Law
Newton also derived a Third Law of Forces:-
Newton also derived a Third Law of Forces:-
"If object A applies a Force on object B, then object B applies and equal but opposite Force on A."
"If object A applies a Force on object B, then object B applies and equal but opposite Force on A."
The above Law is more commonly described as "For every Force there is an equal but opposite reaction Force".
The above Law is more commonly described as "For every Force there is an equal but opposite reaction Force".
The diagram below show an example of these "Newton Pairs" of Forces:-
The diagram below show an example of these "Newton Pairs" of Forces:-
The videos below show examples of Newton's Third Law in action:-
The videos below show examples of Newton's Third Law in action:-
(Relevant section starts at timestamp - 36:12)
(Relevant section starts at timestamp - 36:12)