A submarine window has 1730 N of force on it, due to water pressing it with 2.45 atm of pressure. What is the area of the wndow? (Unit \( =m^{\wedge} 2 \) ) As always, keep 3 sig figs.
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The Deep Dive
To find the area of the submarine window, we can use the formula that relates force, pressure, and area: \[ \text{Pressure} = \frac{\text{Force}}{\text{Area}} \] Rearranging gives us: \[ \text{Area} = \frac{\text{Force}}{\text{Pressure}} \] Given the force on the window is 1730 N and the pressure is 2.45 atm, we first convert pressure from atm to pascals (Pa) since \(1 \text{ atm} = 101325 \text{ Pa}\): \[ 2.45 \text{ atm} = 2.45 \times 101325 \text{ Pa} \approx 248,853.75 \text{ Pa} \] Now, let's calculate the area: \[ \text{Area} = \frac{1730 \text{ N}}{248853.75 \text{ Pa}} \approx 0.00695 \text{ m}^2 \] Keeping three significant figures, the area of the window is approximately \(0.00695 \, \text{m}^2\).