An aircraft carrier uses a device called a catapult to help accelerate jets to t

Question

An aircraft carrier uses a device called a catapult to help accelerate jets to the speed needed for take off. The flight decks on these carriers have length d = 72 m. A jet with a mass of m = 10114 kg can be accelerated from rest to a speed of v = 54 m/s by the end of the flight deck. d = 72 m, m = 10114 kg, v = 54 m/s

A. Select the correct symbolic expression for the magnitude of the average net force, FL, acting on the jet during its launch. B. Calculate the numerical value of the magnitude of the force FL in Newtons? C. What is the numerical value of the ratio R of the launch force FL to the jet's weight?

Explanation / Answer

Solution:

Let us go to the basics first.

(A) FL = m*a = m*(v² / 2d) (Answer A)

(B) FL = 10114kg * (54m/s)² / 2*72m = 2.048*105 N (Answer B)

(C) R = (mv²/2d) / mg = v² / 2gd = (54m/s)² / (2*72m*9.8m/s²) = 2.06   (Answer C)

Thanks!!!

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