Question

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.

Answer 1

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 $10^{-3}$ s.

Taking off speed is 150 miles/h.

Calculation:  

Step1

Convert take off speed in ft/s as follows:

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

v = 220 ft/s

Step2  

Collision force is calculated as follows:

$F=\frac{mv}{t}$

$F=\frac{(\frac{12}{32.2})220}{10^{-3}}$

F = 81987.577 lbf.

Thus, the collision force is 81987.577 lbf.