Question

A typical loaded commercial jet airplane has an inertia of 2.3×105 kg

How much energy does it take to get the plane to a cruising speed of 270 m/s? (Ignore wind drag.)

Show working out please

Answer 1

`8.38\cdot 10^9 J`

Step-by-step explanation:

The energy that must be given to the jet is equal to its final kinetic energy.

The kinetic energy of an object is the energy possessed by an object due to its motion. It is given by

`K=(1)/(2)mv^2`

where

m is the mass of the object

v is its speed

In this problem:

`m=2.3\cdot 10^5 kg` is the mass of the jet (inertia is just another name for mass)

v = 270 m/s is the final speed of the jet

Substituting, we find the final kinetic energy of the jet:

`K=(1)/(2)(2.3\cdot 10^5)(270)^2=8.38\cdot 10^9 J`

So, this is the energy that must be given to the jet.