2 years ago

Explain how the force of air resistance depends on an object speed

1 answer:

8 0

<span>for small, slower moving objects, the force of air resistance varies as the first power of v; for larger and faster objects, air resistance varies as the square of speed, or as v^2
</span>
for small, slower moving objects, the force of air resistance varies s the first power of v; for larger and faster objects, air resistance varies as the square of speed, or as v^2

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$\dfrac{1}{2}mv^2=\dfrac{1}{2}kA^2\\\Rightarrow A=\sqrt{\dfrac{mv^2}{k}}\\\Rightarrow A=\sqrt{\dfrac{0.6\times 0.44^2}{15}}\\\Rightarrow A=0.088\ m\\\Rightarrow A=8.8\ cm$

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$\dfrac{1}{2}kA^2=\dfrac{1}{2}mv^2+\dfrac{1}{2}kx^2\\\Rightarrow v=\sqrt{\dfrac{k(A^2-x^2)}{m}}\\\Rightarrow v=\sqrt{\dfrac{15(0.088^2-(0.7\times 0.088)^2)}{0.6}}\\\Rightarrow v=0.31422\ m/s$

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