Supplement (Extended) content
IGCSE 0625 / Section 1.5 / Extended

A pull that never lets you go straight.

Whirl a ball on a string and it traces a circle. Its speed can stay perfectly steady, yet it is accelerating the whole time, because its direction keeps changing. The secret is a force that points sideways, always square to the motion.

The key idea

An object moving in a circle at constant speed is acted on by a resultant force directed toward the centre. This force is perpendicular to the motion, so it changes the direction of the velocity without changing its size. Remove the force and the object flies off in a straight line.

Section 01

Velocity along, force across.

Watch the ball travel around the circle. The blue arrow is its velocity, always pointing along the path (tangent). The red arrow is the resultant force, always pointing to the centre. Alter the parameters and watch how the required force responds.

Stage 1 · Learn

Check what the sim just showed you

Four quick checks tied to what you can see in the simulator. Each correct answer earns XP and lights this skill on your star map.

Quick check+10 XP

For the ball moving at constant speed in the sim, which way does the resultant force point?

Quick check+10 XP

The speed reading in the sim stays the same all the way round. What is still changing?

Quick check+10 XP

In the sim you raise the speed but keep the radius the same. The force needed to hold the circle...

Quick check+10 XP

If the inward force were switched off at one instant, the ball would...

Section 02

What the force does.

Examiner trap

Do not invent an outward force. Many candidates draw or describe a centrifugal force pushing the object outward, or treat the centripetal force as an extra force added on top of the others. In 0625, the centripetal force is the resultant of the real forces already acting (tension, gravity, friction, the normal contact force), directed toward the centre. On a free-body diagram, never add an outward arrow, and never draw the force along the direction of motion.

Stage 2 · Exam

Exam-style questions

Unlocks once the four checks above are done. Worth more XP, written in the style of Paper 1.

Finish the four checks above to unlock the exam questions
Exam style+20 XP

A car travels at a steady speed around a circular roundabout. Which statement is correct?

Exam style+20 XP

A ball is whirled in a horizontal circle on a string. The string suddenly breaks. Which path does the ball take immediately afterward?

Exam style+20 XP

Two identical balls move in horizontal circles at the same speed. Ball X has a smaller radius than ball Y. Which needs the larger force toward the centre?

Skill unlocked

Circular motion, mastered.

This skill is now lit gold on your star map. Keep the chain going.

-Rank -Level -Score -Topics
Go deeper · practice
Six original Cambridge-style questions
The direction of the force, why the speed is constant but the velocity is not, what happens when the force is removed, and what changes the size of the force needed. Attempt each, then reveal the worked solution.
Stage 3 · master the unit
Motion, forces and energy challenge
Mixed questions across the whole unit, each one worth XP. Start this only when you feel confident across every topic in the unit, not just circular motion.
Start the unit challenge →