Question

Calculate kinetic energy of a planet using 5.97 x 10^24 kg mass and v at 29.29 km s-1

Answer 1

Given data:

* The mass of the planet is,

`m=5.97*10^(24)\text{ kg}`

* The velocity of the planet is,

`\begin{gathered} v=29.29\text{ km/s} \\ v=29.29*10^3\text{ m/s} \end{gathered}`

Solution:

The kinetic energy of the planet is,

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

Substituting the known values,

`\begin{gathered} K=(1)/(2)*5.97*10^(24)*(29.29*10^3)^2 \\ K=2560.84*10^(24+6)\text{ J} \\ K=2560.84*10^(30)\text{ J} \\ K=2.56*10^(30)\text{ kJ} \end{gathered}`

Thus, the kinetic energy of the planet is,

`2560.84*10^(30)\text{ J or 2.56}*10^(30)\text{ kJ}`