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Find the work done in blowing a soap bubble of surface tension 0.06Nm⁻¹ from 2 cm radius to 5 cm radius.

User Gawkface
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Final answer:

To find the work done in blowing a soap bubble, calculate the change in surface area and use the formula for work done by surface tension. The work done can be found using the formulas for surface area and the definition of work in terms of surface tension.

Step-by-step explanation:

To find the work done in blowing a soap bubble, we can calculate the change in surface area and then use the formula for work done by surface tension: W = A * ΔY.

Given that the surface tension is 0.06 Nm⁻¹ and the initial radius is 2 cm, we can calculate the initial surface area using the formula A = 4πr².

The final radius is 5 cm, so the final surface area can be calculated the same way. Subtracting the initial area from the final area will give us ΔA. Plugging this and the surface tension into the work formula will give us the work done in joules.

Initial Area = 4π(0.02m)²

Final Area = 4π(0.05m)²

ΔA = Final Area - Initial Area

W = A * ΔY

User Patrick Quirk
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