KS3 · Physics

Using force arrows in diagrams

You cannot see a force, so how do you draw one? A sledge slides right across ice, yet one of its arrows points left. By then it will make sense.

Physics · Force arrows

Three objects, one arrow language
Gravitational forceof Earth on the sledgeNormal contact forceof the ice on the sledgeFriction force ofthe ice on the sledgeMoving this way(not a force)

View: Sledge on ice. Showing 1 layer: Sledge

View

tap Boat or Ball to compare

The sledge is sliding to the right. Gravity starts at the centre and points down. The ice pushes back up and rubs against the sledge, and both of those arrows start on its lower surface, where it touches the ice. The push-back points up; friction points left, against the movement. Only the sledge is drawn: the ice and the Earth appear only in the labels.

Pick a view. For each arrow ask: where does it start, which way does it point, and what is it called? (Arrow lengths here are not to scale; that is the next block.)

Physics · Force arrows

One newton, one centimetre
0 N2 N4 N6 N8 N10 N12 N14 N16 N18 N20 Ndrag to change the force →

Force: 5/20. Force 5 N. Arrow length 5 cm

Force5 NArrow length5 cm

Drag the bar to change the force. The bar stands for the shaft of your arrow: watch its length follow the force, and notice that it never gets thicker.

Physics · Force arrows

Which way must the arrow point?

Pick a force, then choose the direction its arrow must point. Commit first; the reason comes after.

Still to sort

Down, towards the centre of the Earth (0)

Starts from the centre of the object.

Against the movement (0)

Opposite to the direction the object is moving.

Pushing back on an object resting on a surface (0)

The surface pushes back on the object.

Where the line is: Both this and upthrust can point up. The difference is what is doing the pushing: a solid surface the object rests on, or water under a floating object.

Up, on the bottom surface of a floating object (0)

Water pushing up from underneath.

5 of 5 still to sort.

Physics · Force arrows

The puck that goes one way while the force goes the other

An ice puck is sliding to the right across the ice. You are drawing the friction force of the ice on the puck.

Which idea is closest to what you think right now?
How sure are you?

Physics · Force arrows

Spot the slip

A pupil draws the forces on a ball falling through the air, using a scale of 1 cm for 1 N. The gravitational force of Earth on the ball is 4 N and the air resistance on the ball is 2 N. Find the one step where the method goes wrong.

The pupil's method — which line goes wrong?

WHAT YOU'VE LEARNED

A quick recap of today's lesson.

Where an arrow starts, which way it points, how long it is, and what to call it.

What you need to know

  • A force is a push or a pull that objects exert on each other. You cannot see forces, so we draw an arrow to represent one.
  • Draw each arrow so that it starts on the object the force acts on, at the point where the force acts.
  • The arrow points the way the force acts, which is not always the way the object is moving.
  • The length of the arrow shows the size of the force in newtons (N). The width of the arrow shows nothing.
  • Label each arrow as the force of B on A, and draw only the forces acting on the one object you are studying.

The big picture

A force arrow is a drawing with rules, not a doodle. Where the arrow starts shows what the force acts on, which way it points shows which way the force acts, its length shows how big the force is, and its label says which object is pushing or pulling which.

Key points

1Start: an arrow starts on the object the force acts on, at the point where the force acts. It never finishes on the object.
2Direction: an arrow points in the direction of the force, which is the direction of the change the force causes.
3Length: the length is proportional to the size of the force. With 1 cm for 1 N, a 5 N force is a 5 cm arrow, and a force twice as big needs an arrow twice as long.
4Width: the width of an arrow does not show the size of the force.
5Label: say what provides the force and what it acts on, as the force of B on A, for example the friction force of the ice on the sledge.
6One object: draw all the forces on that object and remove everything else from the diagram.

Worked example

Problem

A tennis racket hits a ball with a force of 6 N to the right. Draw the force arrow, using a scale of 1 cm for 1 N, and label it.

⚠ Watch out

Drawing the arrow the way the object is moving. A force acts in the direction of the change it causes, so the friction force of the ice on a sliding puck points backwards, even though the puck moves forwards.

🧠

Memory hook

Four checks for every arrow: Start, Direction, Length, Label. Start on the object, point the way the force acts, measure the length with a ruler, and label it "B on A".

✓

Check yourself

A book slides right across a table. Where does the friction arrow of the table on the book start, and which way does it point? (It starts on the lower surface and points left.)

Flashcards

(12)
What is a force?
A push or a pull that objects exert on each other. We cannot see forces, so we draw an arrow to represent one.
What does the length of a force arrow show?
The size of the force, in newtons. The length is proportional to the size of the force.
On a scale of 1 cm for 1 N, how long is the arrow for a 7 N force?
7 cm.
Does a thicker arrow mean a bigger force?
No. The width of an arrow shows nothing about the size of the force. Only the length does.
Where does a force arrow start?
On the object the force acts on, at the point where the force acts. It never finishes on the object.
Which way does a force arrow point?
The way the force acts, which is the direction of the change it causes. This is not always the way the object is moving.
Where does the arrow for the gravitational force start, and which way does it point?
It starts at the centre of the object and points down, towards the centre of the Earth.
Which way do friction and drag arrows point?
Opposite to the direction of motion.
What is the normal contact force?
The force of a surface pushing back on an object that rests on it or pushes on it.
What is upthrust, and where does its arrow start?
The force of the water pushing up on the bottom surface of a floating object. The arrow starts on the bottom surface and points up.
How should a force arrow be labelled?
As the force of B on A: what provides the force, then what it acts on. For example, the gravitational force of Earth on the boat.
Which forces go in a diagram of one object?
All the forces acting on that one object. Everything else is removed from the diagram.

Tap any card to flip it, or use Study as deck to go through them one at a time. In the full lesson these run as a spaced-repetition deck — you rate each card Hard, Good or Easy and the tricky ones keep coming back until they stick.

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