Try it on paper first. A hint, the key idea and the worked solution are here when you need them.
A soap film is held in a wire frame with one side a movable wire long. The surface tension is . What force holds the wire still? How much work stretches the film by moving the wire outward?
Surface tension is force per unit length, or energy per unit area of surface, in . A film has two surfaces. Excess pressure: inside a drop or an air bubble in a liquid, inside a soap bubble.
Have you tried it?
Work it out on paper first. It is fine to get stuck or make a mistake: that is how we learn. When you are ready, go through the solution one step at a time, and check each step against your own.
Step 1. Force. .
Step 2. Work. .
Answer: ; .
Check. New area , times , gives the same work.
Watch out. A film has two surfaces, so the force is , not .
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