A ball is attached to a string and swung in a vertical circle at constant speed. Explain why the ball moves in a circular path rather than continuing in a straight line, and describe the direction of both the velocity and the resultant force acting on the ball at any point in its circular path.

Eduqas A-Level Physics — 1.5 Circular motion (A-Level only) · Explain · 5 marks · View as Markdown

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

Model answer (5 marks)

A ball in a vertical circle would, by Newton’s first law, continue in a straight line unless a force acts on it. The tension in the string supplies a force that is always directed towards the centre of the circle. This inward (centripetal) force continuously changes the direction of the ball’s velocity, keeping it on a circular path. At any point the velocity is tangent to the circle, while the resultant force (the tension) is perpendicular to the velocity and points towards the centre.

Examiner tips

  • Use Newton’s first law to justify why a force is needed
  • State that tension is the centripetal force
  • Describe velocity as tangent and force as radial
  • Show the force is always perpendicular to velocity

Common mistakes

  • Confusing the direction of velocity with the direction of the force
  • Forgetting that the force is always towards the centre
  • Not mentioning Newton’s first law or inertia

Mark scheme (5 marks)

  1. Without a force the ball would continue in a straight line (Newton's first law / inertia)
  2. The tension in the string provides a resultant force that acts towards the centre of the circle
  3. This inward (centripetal) force continuously changes the direction of the ball, keeping it on a circular path
  4. The velocity of the ball at any point is directed along the tangent to the circle at that point
  5. The resultant force (centripetal force) is always directed towards the centre of the circle, perpendicular to the velocity

Key terms in this question

circular path · velocity · resultant force

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