Terminal Velocity (Edexcel IGCSE Physics (Modular))
Revision Note
Written by: Ashika
Reviewed by: Caroline Carroll
Terminal velocity
Terminal velocity is the fastest speed that an object can reach when falling
Terminal velocity is reached when the upward and downward acting forces are balanced
The resultant force on the object reaches zero
The object no longer accelerates and a constant terminal velocity is reached
Falling objects
Falling objects experience two forces:
Weight
Air resistance
The force of air resistance increases as the object's speed increases
This is because the object collides with air particles as it moves through the air
The faster the object is travelling, the more collisions it has with the air particles
The weight of the object does not change
This is because
The mass, , of the object does not change
The acceleration of freefall, , does not change
Reaching terminal velocity
Skydiver in freefall reaching terminal velocity
The skydiver initially accelerates downward due to the force of weight. The upward force of air resistance increases as they fall until eventually it equals the weight force and terminal velocity is reached
At the instant the skydiver steps out of the plane, the support force of the plane is no longer acting on the skydiver, but they are not yet falling, so the only force exerted them is the weight force
There is a downward acting resultant force on the skydiver
The resultant force is equal to the weight force
The skydiver accelerates downward at maximum acceleration
As the skydiver begins to fall, the force of air resistance is very small because the skydiver's speed is small
There is a downward acting resultant force on the skydiver
The resultant force is equal to the weight force minus the force of air resistance
The skydiver accelerates downward but the acceleration decreases
As the skydiver accelerates, their speed increases, so the force of air resistance increases
There is a downward acting resultant force on the skydiver
The resultant force is equal to the weight force minus the force of air resistance
The skydiver accelerates downward but the acceleration continues to decrease
As the skydiver's acceleration decreases, their speed increases at a slower and slower rate
Eventually, the skydiver reaches a speed at which the force of air resistance is equal to the force of weight
The forces are balanced, so the resultant force is zero
The skydiver no longer accelerates and a constant velocity is reached
This is terminal velocity
Worked Example
A small object falls out of an aircraft. Choose words from the list to complete the sentences below:
Friction Gravity Air pressure
Accelerates Falls at a steady speed Slows down
(a) The weight of an object is the force of __________ which acts on it.
(b) When something falls, initially it ____________.
(c) The faster it falls, the larger the force of ______________ which acts on it.
(d) Eventually it ______________ when the force of friction equals the force of gravity acting on it.
Answer:
Part (a)
The weight of an object is the force of gravity which acts on it.
The weight force is due to the Earth's gravitational pull on the object, so weight is due to gravity
Part (b)
When something falls, initially it accelerates.
The resultant force on the object is very large initially, so it accelerates
This is because there is a large unbalanced force downwards (its weight) - the upward force of air resistance is very small to begin with
Part (c)
The faster it falls, the larger the force of friction which acts on it.
The force of air resistance is due to friction between the object's motion and collisions with air particles
Air particles try to slow the object down, so air itself produces a frictional force, called air resistance (sometimes called drag)
Part (d)
Eventually it falls at a steady speed when the force of friction equals the force of gravity acting on it.
When the upwards air resistance grows enough to balance the downwards weight force, the resultant force on the object is zero
This means the object isn't accelerating - rather, it is moving at a steady (terminal) speed
Examiner Tips and Tricks
The force of gravity on an object is called its weight. If you are asked to name this force, use this word: don't call it 'gravity', as this term could also mean gravitational field strength, and so might be marked wrong. Additionally, remember to identify air resistance as the upward force on a falling object. This force gets larger as the object speeds up, but the weight of the object stays constant. Don't confuse 'air resistance' with 'air pressure' as these are two different concepts!
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