Aircraft carriers use catapults to launch jets from their deck. One such catapult accelerates a 18,900 kg aircraft from rest to 61 m/s in 3.3 s. What is the magnitude of the force (in N) required to do this?

Respuesta :

Given that the mass of catapult, m = 18900 kg

The initial velocity is

[tex]v_o=\text{ 0 m/s}[/tex]

As the body is at rest initially.

The final speed is

[tex]v_f=\text{ 61 m/s}[/tex]

The time taken is t = 3.3 s

We have to find the force.

According to Newton's second law, the formula to calculate force is

[tex]\begin{gathered} F=\text{mass}\times acceleration \\ =m\times\frac{(v_f-v_o)}{t} \end{gathered}[/tex]

Substituting the values, the force will be

[tex]\begin{gathered} F=18900\times\frac{61-0}{3.3} \\ =349363.63\text{ N} \end{gathered}[/tex]

Thus, the force is 349363.63 N