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An aeroplane is in a level flight at constant speed and its wings have an area of 20 m². If the speed of the air is 60 m/s over the lower surface and 90 m/s over its upper surface of wing, then mass of aeroplane is: (Density of air = 1 kg/m³, g = 10ms^–2)

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3000 kg

4500 kg

9000 kg

4000 kg

answer is D.

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Detailed Solution

$m g = \frac{1}{2} ρ (V_{2}^{2} - V_{1}^{2}) A$

$\begin{array}{l} = \frac{1}{2} \times (90^{2} - 60^{2}) \times 20 \\ m = \frac{10 \times 4500}{10} k g \end{array}$

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