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,

$m=5.97\times10^{24}\text{ kg}$

* The velocity of the planet is,

$\begin{gathered} v=29.29\text{ km/s} \\ v=29.29\times10^3\text{ m/s} \end{gathered}$

Solution:

The kinetic energy of the planet is,

$K=\frac{1}{2}mv^2$

Substituting the known values,

$\begin{gathered} K=\frac{1}{2}\times5.97\times10^{24}\times(29.29\times10^3)^2 \\ K=2560.84\times10^{24+6}\text{ J} \\ K=2560.84\times10^{30}\text{ J} \\ K=2.56\times10^{30}\text{ kJ} \end{gathered}$

Thus, the kinetic energy of the planet is,

$2560.84\times10^{30}\text{ J or 2.56}\times10^{30}\text{ kJ}$