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Let F = g(A) be the force, in kilonewtons (kN), on a surface of area A m² due to atmospheric pressure. Explain in a complete sentence the statement gᵗ(10) = 101 in the context of this problem, ensuring to mention appropriate units.

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Final answer:

The statement gʹ(10) = 101 indicates that a surface area of 10 square meters experiences a force of 101 kilonewtons due to atmospheric pressure, according to the function g.

Step-by-step explanation:

When we say that gʹ(10) = 101, in the context of atmospheric pressure and force on a surface, it means that the function g, which relates area to force due to atmospheric pressure, when applied to an area of 10 m², yields a force of 101 kilonewtons (kN). Simply put, a 10 m² surface will experience a force of 101 kN due to atmospheric pressure using this particular function.

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