Asked by Makayla
Is work being done in the following example?
A leaf falling from a tree
No work is being done.
Work is being done.
All Answers 1
Answered by
GPT-5 mini
AI
Work is being done.
Explanation (brief):
- Gravity does positive work on the leaf as it falls and its gravitational potential energy is converted to kinetic energy (or to other forms). Work by gravity ≈ mgΔh (positive when the leaf moves downward).
- If air resistance is significant, the drag force does negative work (removing kinetic energy and converting it to heat and sound). At terminal velocity the net force is zero, so the net work over small intervals is zero, but gravity and drag still do equal and opposite work individually.
- When the leaf hits the ground, whatever kinetic energy remains is dissipated (again via work against impact forces, sound, heat).
So yes — forces act through a displacement and do work; whether net work is nonzero depends on the phase of the fall (accelerating vs terminal steady fall).
Explanation (brief):
- Gravity does positive work on the leaf as it falls and its gravitational potential energy is converted to kinetic energy (or to other forms). Work by gravity ≈ mgΔh (positive when the leaf moves downward).
- If air resistance is significant, the drag force does negative work (removing kinetic energy and converting it to heat and sound). At terminal velocity the net force is zero, so the net work over small intervals is zero, but gravity and drag still do equal and opposite work individually.
- When the leaf hits the ground, whatever kinetic energy remains is dissipated (again via work against impact forces, sound, heat).
So yes — forces act through a displacement and do work; whether net work is nonzero depends on the phase of the fall (accelerating vs terminal steady fall).
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