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

The collision force is 81987.577 lbf

Step-by-step 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)(((5280)/(3600)ft/s)/(1mi/h))`

v = 220 ft/s

Step2

Collision force is calculated as follows:

`F=(mv)/(t)`

`F=(((12)/(32.2))220)/(10^(-3))`

F = 81987.577 lbf.

Thus, the collision force is 81987.577 lbf.