Question

Calculate the speed of an 7.7 x 10^4 kg airliner with a kinetic energy of 1.3 x 10^9 J Answer in units of m

Answer 1

Given that the mass of airliner is

`m=\text{ 7.7}*10^4\text{ kg}`

Also, the kinetic energy is given by

`KE=1.3*10^9\text{ J}`

The Kinetic energy is given by the formula

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

Here, v is the speed of an airliner. The speed can be calculated as

`v=\sqrt[]{(2KE)/(m)}`

Substituting the values, speed will be

`\begin{gathered} v=\sqrt[]{(2*1.3*10^9)/(7.7*10^4)} \\ =\sqrt[]{33766.233} \\ =183.75\text{ m/s} \end{gathered}`