A plane is in level flight at constant speed and each of its wings has an area of `25m^(2)`. If the speed of the air is `180km//h` over the upper wing surface, determine the plane's mass . (Take air density to be `1 kg//m^(3)`). `g=9.8m//s^(2)`.

Explanation

To determine the mass of the plane in level flight, we can use Bernoulli's principle and the relationship between pressure difference and lift force. Here’s a step-by-step solution:

### Step 1: Convert the speed of air from km/h to m/s
The speed of air over the upper wing surface is given as \( V_1 = 180 \, \text{km/h} \). To convert this to meters per second (m/s):

\[ V_1 = 180 \, \text{km/h} \times \frac{1000 \, \text{m}}{1 \, \text{km}} \times \frac{1 \, \text{h}}{3600 \, \text{s}} = 50 \, \text{m/s} \]
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