Certain insects, such as the water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. This is possible because the water, due to surface tension, exerts an upward force on the bottom of the bug's feet. Suppose that the maximum possible upward force on the feet of water bug A is F. Now suppose that water bug B is twice as big as bug A in every dimension. That is, bug B is twice as long, twice as wide, etc. What is the maximum upward force on the feet of bug B?

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Pascal's principle: If an external pressure is applied to a confined fluid, the pressure at every point within the fluid increases by that amount.
Archimedes' principle: The buoyant force on an object immersed in a fluid is equal to the weight of the fluid displaced by that object.

Bernoulli's principle: Where the velocity of fluid is high, the pressure is low; and where the velocity is low, the pressure is high.
 


Certain insects, such as the water bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. This is possible because the water, due to surface tension, exerts an upward force on the bottom of the bug's feet. Suppose that the maximum possible upward force on the feet of water bug A is F. Now suppose that water bug B is twice as big as bug A in every dimension. That is, bug B is twice as long, twice as wide, etc. What is the maximum upward force on the feet of bug B?