Respuesta :
Answer:
The distance the bird flew is approximately 2.59 meters
Explanation:
We list out the parameters in the question, and the required measurement as follows;
The mass of the Cuban bee hummingbird, m = 1.7 g = 0.0017 kg
The amount of work the bird does, W = 8.8 × 10⁻⁴ J
The amount of upward force the bird exerts, F = 3.4 × 10⁻⁴ N
Let 'd' represent the distance flown by the bird
(The downward force, [tex]F_g[/tex] = The weight of the bird, W
W = The mass of the bird, m × The acceleration due to gravity, g
The acceleration due to gravity, g ≈ 9.81 × 10 m/s²
∴ [tex]F_g[/tex] ≈ 0.0017 kg × 9.81 m/s² = 0.016677 N > F)
Given that the weight of the bird is larger than 'F', we assume that the force exerted by the bird is the net force, [tex]F_{NET}[/tex] = F
Therefore;
Work done, W = Net Force, [tex]F_{NET}[/tex] × Distance, d
∴ W = [tex]F_{NET}[/tex] × d
d = W/[tex]F_{NET}[/tex] = 8.8 × 10⁻⁴ J/(3.4 × 10⁻⁴ N) = 2.58823529 meters
The distance the bird flew, d ≈ 2.59 m.
