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Positive, Negative, and Zero Work

The sign of work depends on the angle between force and displacement: work is positive when both are in the same direction, negative when opposite, and zero when perpendicular or when displacement is absent.

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Main explanation

Teacher explanation

Positive work increases or supports motion, like gravity doing work on a falling stone. Negative work opposes motion, like friction on a sliding box. Zero work occurs when force does not produce displacement in its direction, such as centripetal force in uniform circular motion at an instant.

Example

When a ball moves upward, gravity acts downward, so work done by gravity is negative.

Simple analogy

Same helps, opposite resists, perpendicular does no work.

Common confusion

Students often say work is negative only when the object moves backward, but it actually depends on force direction relative to displacement.

Exam tip

Draw force and displacement arrows. Same direction gives positive work, opposite direction gives negative work, and perpendicular gives zero work.

Answer writing and exam use

1-mark use

Write the exact meaning of positive, negative, and zero work in one clean line.

2-mark use

Define positive, negative, and zero work and add one example or condition.

3-mark use

Explain positive, negative, and zero work, show the method or example, and mention the common mistake.

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