Question

when an f - 14 airplane takes off an aircraft carrier, it is catapulted off the flight deck. the planes final speed at take - off is 74 m/s, starting from rest. the plane accelerates in 2 seconds and has a mass of 30,145 kg. what is the total force that gets the f - 14 in the air?

Explanation:

Step1: Calculate acceleration

Use the formula \(a=\frac{v - u}{t}\), where \(u = 0\ m/s\) (starts from rest), \(v=74\ m/s\), \(t = 2\ s\).
\(a=\frac{74-0}{2}=37\ m/s^{2}\)

Step2: Calculate force

Use Newton's second law \(F = ma\), where \(m = 30145\ kg\), \(a=37\ m/s^{2}\).
\(F=30145\times37 = 1115365\ N\)

Answer:

\(1115365\ N\)