?

Free Version

Upgrade subject to access all content

Moderate

Aircraft Carrier Takeoff Power

CLMECH-ERAMYK

Aircraft produce lift from air flowing over the wing, but there is a minimum speed called the stall speed, needed for the lift to be greater than weight. Planes taking off from aircraft carriers do not have enough runway to reach this speed under their own power, so the ships have a device called a catapult that pulls the aircraft up to the takeoff speed.

The catapult provides $6.95\times{10}^{5}\text{ N}$ of force to launch an F-14 fighter, which has a mass of $27,700\text{ kg}$. The catapult is $91.4\text{ m}$ long and gets the airplane to a speed of $75.5\text{ m/s}$ for takeoff.

How much power does the catapult provide during this process?

A

$P = 1.31\times{10}^{6}\text{ W}$

B

$P = 5.24\times{10}^{6}\text{ W}$

C

$P = 2.62\times{10}^{7}\text{ W}$

D

$P = 5.24\times{10}^{7}\text{ W}$