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3 years ago

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An airplane is flying horizontally with a speed of 103 km/hr (278 m/s) when it drops a payload. The payload hits the ground 30 s

later. (Neglect air drag and the curvature of the Earth. Take g = 10 m/s².)
At what altitude H is the airplane flying?

1 answer:

Serga [27]3 years ago

6 0

Answer:

H = 4500 m

Explanation:

Once dropped, the payload moves along a trajectory, that can be decomposed along two directions independent each other.
Just by convenience, we choose these directions to be coincident with the horizontal (-x) and vertical (y) axes.
As both movements are independent each other due to both are perpendicular, in the vertical direction, the initial speed is 0.
So, in order to find the vertical displacement at any point in time, we can use the following kinematic equation, where a=-g., and H = -Δy.

$H = \frac{1}{2}*g*t^{2} = \frac{1}{2} * 10 m/s2*(30s)^{2} = 4500 m$

The airpane was flying at a 4500 m altitude.

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The rest of the question is written below:

a. What is the final speed of the falcon and pigeon?

b. What is the average force on the pigeon during the impact?

<h3>a) Final speed</h3>

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<h3>b) Force on the pigeon</h3>

In this part we will use the following equation:

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Where:

$F$ is the force exerted on the pigeon

$\Delta t=0.015 s$ is the time

$\Delta p$ is the pigeon's change in momentum

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