Calculate the total K.E. of earth, assuming it to be a uniform spherical body moving around the sun with a speed of `30 km s^(-1)` and spinning about its own axis? Mass of earth = `6 xx 10^(24)` kg, Radius of earth = 6400 km ?

Explanation

To calculate the total kinetic energy (K.E.) of the Earth, we need to consider both its rotational kinetic energy (due to its spinning about its own axis) and its translational kinetic energy (due to its orbit around the Sun).

### Step-by-Step Solution:

1. **Identify the Given Values:**
- Mass of Earth, \( m = 6 \times 10^{24} \) kg
- Radius of Earth, \( R = 6400 \) km = \( 6400 \times 10^3 \) m
- Speed of Earth in its orbit, \( v = 30 \) km/s = \( 30 \times 10^3 \) m/s
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