The drag coefficient of a sparrow is required.
The drag coefficient is 0.107.
d = Distance = 208 m
t = Time = 3 s
[tex]\rho[/tex] = Density of air = [tex]1.225\ \text{kg/m}^3[/tex]
A = Area = [tex]5.6\times 10^{-4}\ \text{m}^2[/tex]
m = Mass of bird = 0.018 kg
g = Acceleration due to gravity = [tex]9.81\ \text{m/s}^2[/tex]
c = Drag coefficient
Velocity of the bird
[tex]u=\dfrac{d}{t}=\dfrac{208}{3}\ \text{m/s}[/tex]
The drag force will be equal to the gravitational force.
[tex]mg=\dfrac{1}{2}\rho u^2cA\\\Rightarrow c=\dfrac{2mg}{\rho u^2A}\\\Rightarrow c=\dfrac{2\times 0.018\times 9.81}{1.225\times (\frac{208}{3})^2\times 5.6\times 10^{-4}}\\\Rightarrow c=0.107[/tex]
The drag coefficient is 0.107.
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