Estimate the magnitude of the force, in lbf, exerted on a 12-lb goose in a collision of duration 10^-3s with an airplane taking off at 150 miles/h.

Respuesta :

Answer:

The collision force is 81987.577 lbf

Explanation:

Apply Newton’s second law of motion for required collision force exerted on the goose.

Given:  

Mass of goose is 12 lb.

Time of collision is [tex]10^{-3}[/tex] s.

Taking off speed is 150 miles/h.

Calculation:  

Step1

Convert take off speed in ft/s as follows:

[tex]v=(150mi/h)(\frac{\frac{5280}{3600}ft/s}{1mi/h})[/tex]

v = 220 ft/s

Step2  

Collision force is calculated as follows:

[tex]F=\frac{mv}{t}[/tex]

[tex]F=\frac{(\frac{12}{32.2})220}{10^{-3}}[/tex]

F = 81987.577 lbf.

Thus, the collision force is 81987.577 lbf.  

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