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October 18, 2026

Forces and Newton’s laws

ZIMSEC O Level · Physics · Form 3

A force is a push or pull measured in newtons (N). Forces can change an object's speed, direction or shape.

Newton's laws

  1. An object stays at rest or moves at constant velocity unless a resultant force acts on it.
  2. Resultant force = mass × acceleration (F = ma).
  3. When A exerts a force on B, B exerts an equal and opposite force on A.

Mass and weight

Mass is the amount of matter (kg), the same everywhere. Weight is the gravitational force (N): W = mg.

Friction

Opposes motion. Useful for walking and braking; reduced by lubrication and smooth surfaces.

Stretching

Hooke's law: extension is proportional to load, up to the limit of proportionality (F = kx).

Worked example: A resultant force of 600 N acts on a 1 200 kg car. Find its acceleration.

a = F ÷ m = 600 ÷ 1 200 = 0.5 m/s²

Momentum (extension)

Momentum = mass × velocity; in a collision, total momentum is conserved.

Exam tip: Always use the RESULTANT force in F = ma – subtract friction from the driving force first.

Check yourself

  1. State Newton's first law.
  2. Find the weight of a 70 kg man on the Moon, where g = 1.6 N/kg.
  3. A spring stretches 2 cm with a 4 N load. Find the extension with 10 N (within the limit).
Show answers
  1. An object remains at rest or at constant velocity unless acted on by a resultant force.
  2. 112 N
  3. 5 cm

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