Forces · Grade 4

A force is a push or a pull, measured in newtons (N). Forces have a size and a direction, so we draw them as arrows. Add up all the forces to find the resultant: if it is zero the object keeps doing what it was doing; if not, it speeds up, slows down or changes direction.

Key facts

  • Contact forces: friction, air resistance, upthrust, tension, normal contact force. Non-contact: gravity, magnetic, electrostatic.
  • Weight is the force of gravity on an object; it acts downwards.
  • Resultant force: add forces in the same direction, subtract opposite ones.
  • Balanced forces (resultant zero): stays still, or moves at a steady speed in a straight line.
  • Unbalanced forces: the object accelerates in the direction of the resultant.
  • Forces at right angles combine by Pythagoras.

Worked examples

Example 1

A 70 kg skydiver falls at a steady speed. What is the air resistance on her? (Take g = 9.8 N/kg.)

Answer: 686 N upwards

Example 2

Two ropes pull a boat with forces of 300 N east and 400 N north. Find the resultant force.

Answer: 500 N, at 53° north of east

Other years