A satellite orbiting Earth at an altitude of (450 mathrm{~km}) emits a radio signal that has a

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A satellite orbiting Earth at an altitude of \(450 \mathrm{~km}\) emits a radio signal that has a power level of \(12 \mathrm{~W}\) when it reaches Earth. The signal is beamed in such a way that it covers an area of \(8.0 \mathrm{~m}^{2}\) on Earth's surface. What power is received by a ground-based antenna if the surface area of the antenna is \(400 \mathrm{~mm}^{2}\) ?

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