Calculate the angular momentum and rotational kinetic energy of the earth about its own axis. Given mass of the earth is `6 xx 10^(24)` kg and its radius =` 6.4 xx 10^3` km. [Moment of inertia of the earth about its axis of rotation is `2/5 mr^(2)`]

Explanation

To solve the problem, we need to calculate the angular momentum and rotational kinetic energy of the Earth about its own axis. We will use the given formulas and values step by step.

### Step 1: Convert the radius of the Earth to meters
Given:
- Radius of the Earth, \( R = 6.4 \times 10^3 \) km

To convert kilometers to meters:
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