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Edexcel GCSE Physics (1PH0) · Topic 9 — Forces and their effects
Mini-Lesson

Forces and their Effects

This mini-lesson walks you through the whole of Edexcel Topic 9: how forces interact, why some are vectors, how to add and resolve them with diagrams, and the turning effect of a force — moments, the principle of moments, and how levers and gears use it.

pivot distance d force F a force turns, pushes & pulls

Work through each screen, answer the questions as you go (some are wordy, some are calculations) and collect ⭐ stars. Screens marked HT are Higher Tier; Physics only screens are for separate Physics, not Combined Science. Press Start when you're ready.

9.1 · How forces arise

Forces are interactions

A force is always a push or pull on one object caused by another. There are two families:

  • Contact forces — the objects touch: normal contact force, friction, tension, air resistance.
  • Non-contact forces — they act at a distance through a field: gravitational, electrostatic and magnetic.
Contact surfaces touch (push, friction) Non-contact a field acts across a gap
Forces come in pairs and have both a size and a direction — so we draw them as arrows (vectors).
Quick check

Contact or field?

?A compass needle swings to line up near a bar magnet, even though nothing touches it. Which type of force is acting?
9.2 · Two kinds of quantity

Vectors vs scalars

Some quantities need only a size (magnitude); others need a size and a direction:

  • Scalar — magnitude only: mass, distance, speed, energy, temperature, time.
  • Vector — magnitude and direction: force, weight, velocity, displacement, acceleration, momentum.
length = size arrow = direction 5 kg has no direction → scalar ⚖️
A vector is drawn as an arrow: its length shows the magnitude, the way it points shows the direction.

Watch out: weight is a force (a vector, in newtons) pulling down; mass is a scalar (in kilograms) — they are not the same thing.

Sort it

Vector or scalar?

Tap a quantity, then tap the box it belongs in.

➡️ Vector

🔢 Scalar

9.4 · Higher Tier

Free-body force diagrams

A free-body diagram shows a single object as a dot or box, with every force on it drawn as an arrow from that object. The arrow's length shows the size and the way it points shows the direction.

N friction W (weight)
A box on a slope: weight acts vertically down, the normal contact force N acts at right angles to the surface, and friction acts up the slope.

Tip: draw only the forces acting on the object — never the forces it exerts on other things.

9.5 · Higher Tier

Resultant & balanced forces

When several forces act on an object you can replace them with a single resultant force — the overall push or pull. Along one line you simply add forces, taking one direction as positive.

resultant = sum of the forcesbalanced forces give a resultant of zero — but the object need not be still

When the resultant is zero the forces are balanced (equilibrium): a stationary object stays still, and a moving object keeps a constant velocity.

Worked example

A sledge is pulled forwards with 50 N while friction pulls back with 30 N.

Resultant = 50 − 30 = 20 N forwards — so it accelerates forwards.

Calculate · HT

Your turn — resultant force

1A swimmer pushes forwards with a 180 N thrust while water resistance pushes back with 110 N. What is the resultant force on the swimmer?
N
Hint: take forwards as positive — resultant = 180 − 110.
9.3 · Higher Tier

Adding forces with a vector diagram

When two forces act at an angle, you can't just add the numbers. Draw them tip-to-tail to scale — the resultant runs from the very start to the very end, closing the triangle. You then measure its length and angle.

40 N (east) 30 N (north) R = 50 N Pythagoras check: R = √(40² + 30²) = √2500 = 50 N
Two perpendicular forces, 40 N east and 30 N north, give a 50 N resultant. The same triangle, read backwards, lets you resolve one force into two parts.

Equilibrium on a scale diagram shows up as a closed shape — the tip of the last arrow lands exactly back on the start, so the resultant is zero.

Quick check · HT

Reading the triangle

?On a scale vector diagram for three forces acting on an object, the arrows are drawn tip-to-tail and the last arrow's tip lands exactly on the very first arrow's tail. What does this tell you?
9.6 · Physics only

When a force makes things turn

So far forces have pushed objects in a straight line. But a force applied at a distance from a fixed point — a pivot — makes the object rotate instead. You meet this turning effect everywhere:

  • pushing a door open about its hinges,
  • turning a spanner on a nut,
  • a child on a see-saw, or a steering wheel and tap.

The size of this turning effect is called the moment of the force — that's the next screen.

hinge push far from the hinge → easier to turn
9.7 · Physics only

Moment of a force

The moment measures the turning effect. It grows with the force and with how far from the pivot you push:

moment = F × dmoment (newton metre, N m) = force (N) × distance normal to the force (m)
pivot (nut) F perpendicular distance d
A longer spanner (bigger d) gives a bigger moment for the same pull — so the nut turns more easily.

Two big misconceptions: (1) d is the distance perpendicular (at right angles) to the line of the force, not just any distance. (2) A force whose line passes through the pivot has d = 0, so its moment is zero — it can't turn the object.

Worked example

A force of 12 N pushes at right angles, 0.25 m from a pivot.

moment = 12 × 0.25 = 3 N m

Calculate · Physics only

Your turn — calculate a moment

2A mechanic pushes down with a force of 40 N on the end of a spanner, at right angles, 0.30 m from the centre of the bolt. Calculate the moment.
N m
Hint: moment = F × d = 40 × 0.30.
9.8 · Physics only

The principle of moments

An object is balanced (in rotational equilibrium) when the forces trying to turn it one way exactly match those turning it the other way:

Σ clockwise moments = Σ anticlockwise momentsabout the same pivot, for rotational equilibrium
200 N 1.5 m 300 N 1.0 m
Anticlockwise: 200 N × 1.5 m = 300 N m. Clockwise: 300 N × 1.0 m = 300 N m. They are equal, so the see-saw balances. ⚖️

Watch out: "balanced" means zero net moment (and zero resultant force) — it does not mean nothing is happening. A balanced see-saw could even be turning at a steady rate; it just isn't being made to turn faster either way.

Calculate · Physics only

Your turn — balance the beam

3On a balanced see-saw a child weighing 250 N sits 1.2 m to the left of the pivot. A second child weighing 300 N sits on the right. How far from the pivot must the second child sit so the see-saw balances?
m
Hint: anticlockwise = clockwise, so 250 × 1.2 = 300 × d. Solve for d = 300 ÷ 300.
9.9 · Physics only

Levers and gears

Both levers and gears use moments to transmit and change the turning effect of a force.

Levers as force multipliers: a long effort arm and a short load arm let a small effort balance a large load — because the small force acts at a bigger distance from the pivot.

large load small effort long effort arm short load arm
A crowbar: a small effort, far from the pivot, gives a moment big enough to balance a large load close to it.

Gears: teeth on two wheels interlock, so the rim forces match. A small gear driving a large gear gives a bigger turning effect (moment) but a slower rotation; a large gear driving a small one trades turning effect for speed.

small · fast large · slow · bigger moment
The gears turn in opposite directions. The larger gear turns more slowly but, because the force acts at a greater radius, it provides a larger moment.
Quick check · Physics only

How gears trade off

?A small driver gear turns a much larger gear. Compared with the small gear, the large gear turns…
9.10 · Reducing waste

Reducing unwanted energy transfer

Whenever surfaces rub or gears mesh, friction dissipates energy by heating the surroundings — energy that is no longer useful. To waste less of it:

  • Lubrication — a thin film of oil or grease between moving parts lets them slide past each other, cutting friction and the heating it causes.
  • Less friction means smoother levers and gears, less wear, and more of the input ending up as useful output.
dry → much heat lost oil film → little heat lost
Quick check

Why lubricate?

?Oiling the chain and gears of a bike makes it more efficient. What is the main reason?
Recap

The key ideas to know

Forces (9.1–9.2): contact vs non-contact (field); forces are vectors (size + direction), scalars have size only.

Diagrams (HT 9.3–9.5): free-body diagrams; add forces tip-to-tail; resultant; balanced = zero resultant.

Moment (9.7): moment = F × d (perpendicular distance), in N m.

Principle of moments (9.8): Σ clockwise = Σ anticlockwise about a pivot.

Levers & gears (9.9): multiply / transmit the turning effect of forces.

Lubrication (9.10): cuts friction, so less energy is wasted heating the surroundings.

You've covered the whole of Edexcel Topic 9 — Forces and their effects. Press Finish to see your score.

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