IMSc Outreach

Newton's Cradle

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Presented by Vengatesh G

Introduction

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Newton's Cradle is a classic desktop device that demonstrates two of the most important principles in physics: conservation of momentum and conservation of kinetic energy. It consists of a row of identical steel balls suspended by strings so that they hang in a straight line, just touching one another.

When one ball is pulled back and released, it swings down and strikes the row — and rather than all the balls moving together, exactly one ball on the opposite end swings out with the same speed. The same pattern holds for two balls, three, and so on. The demonstration also extends to coins on a flat surface, where the same transfer of motion can be seen in a simpler, everyday setup, making the principle accessible without any special equipment.

Precautions

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Do not pull the balls back too far or release them with force — striking at high speed can tangle the strings or cause balls to ride over each other. Place the cradle on a stable, flat surface before use.

Materials Required

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  • Newton's cradle (5 suspended steel balls)
  • Coins (for the tabletop collision variant)

Science Behind It

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When one ball strikes the stationary row, the collision travels through the line almost instantaneously as a compressive wave. Because the balls are identical in mass and the collisions are nearly elastic, both momentum and kinetic energy must be conserved simultaneously. The only outcome that satisfies both conditions at once is that exactly one ball exits on the far side with the same speed as the ball that came in.

If two balls were allowed to share the motion — each moving at half the incoming speed — momentum would be conserved but kinetic energy would not. The fact that the cradle selects the single-ball outcome is a direct consequence of having two conservation laws to satisfy at the same time, not just one.

The coin version on a flat surface demonstrates the same physics: a coin slid into a stationary row stops on contact and the last coin in the row shoots forward, showing that the principle holds even without strings or a pendulum frame.

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