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Isolated system

Beginner

No net external force acts on it.

A system is isolated when external forces sum to zero (or are negligible over the short interaction). Internal forces of any size don't change total momentum.

Worked example

Two ice skaters pushing off each other on frictionless ice.

Common mistake

Gravity and normal forces cancel on a level surface, so horizontal momentum is conserved.

In more detail

An isolated system has no net external force acting on it, so its total momentum does not change. Internal forces between parts can redistribute momentum but cannot change the total.

Real-world uses

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Frequently asked questions

Is the Earth isolated?

No. Gravity and friction from the Sun, Moon and the air act on it.

What if friction acts?

Then the system is not isolated, and its momentum changes.

How do I know if a system is isolated?

Check that the net external force is zero or negligible compared with the forces inside the system.

Related topics in Momentum & Collisions

Impulse–momentum theorem · Why airbags work · Conservation of momentum · Recoil of a gun · Elastic collision · Inelastic collision

← All Momentum & Collisions topics