A student pushes a heavy crate along a factory floor at a constant velocity. Explain why a constant velocity means the resultant force on the crate must be zero, and state what this tells you about the relationship between the pushing force and the friction force acting on the crate.

Cambridge International IGCSE Physics (0625) — 1.5 Forces · Explain · 4 marks · View as Markdown

Written & reviewed by James Millett — Biology (Imperial College London), PGCE Science (University of Cambridge).

Model answer (4 marks)

A constant velocity means the crate’s speed and direction do not change, so its acceleration is zero.

According to Newton’s first law, an object with zero acceleration must have a resultant force of zero.

Therefore the horizontal forces on the crate must cancel. The pushing force exerted by the student is balanced by the kinetic friction force from the floor.

Thus the pushing force and the friction force are equal in magnitude and act in opposite directions.

Examiner tips

  • Show the link between constant velocity and zero acceleration first.
  • State Newton’s first law to justify zero resultant force.
  • Explain that the two horizontal forces must cancel – equal magnitude, opposite direction.
  • Use the exact wording ‘equal in magnitude’ and ‘opposite directions’.

Common mistakes

  • Confusing ‘no acceleration’ with ‘no force’ – remember the resultant force must be zero.
  • Forgetting to mention that the forces act in opposite directions.
  • Using vague terms like ‘balanced’ without specifying magnitude and direction.

Mark scheme (4 marks)

  1. Constant velocity means no change in velocity / no acceleration
  2. A zero resultant force is required for zero acceleration / Newton's first law applied
  3. The pushing force and friction force are equal in magnitude
  4. The pushing force and friction force act in opposite directions

Key terms in this question

resultant force · constant velocity · friction

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