Question

An Airbus $A320$ jetliner has a takeoff mass of $75,000$ kg. It reaches its takeoff speed of $82m/s(180mph)$ in $35$s. What is the thrust of the engines? You can neglect air resistance but not rolling friction

Short answer

The thrust of the engines is$190,000N$

Step-by-step solution

Content Introduction

The friction force is proportional to the normal force N exerted by the wall against the block.

Content Explanation

We are given

speed is $v=82m/s$in $t=35s$. This will give us acceleration of the Airbus A320 $a=\frac{v}{t}=\frac{82}{35}=2.343m/s^2$

The force measured is given by

$$\begin{gathered} F=ma \\ F=75,000\times 2.343 \\ F=175,714N................................\left(1\right) \end{gathered}$$

Rolling friction is ${\mu }_s=0.020$

Therefore, we can say the friction force measured as

$$\begin{gathered} F_f={\mu }_{s}mg \\ {F}_f=0.020\times 75,000\times 9.81 \\ {F}_f=14,715N.............................................\left(2\right) \end{gathered}$$

Add ( 1 ) and ( 2 ) to get the total force that is thrust of the engine

$F_T=F+F_f=175,714+14,715=190429\simeq 190,000Napprox.$