You are given the following data `:g=9.81ms^(-2)`, radius of earth `=6.37xx10^(6)m` the distance the Moon from the earth `=3.84xx10^(8) m` and the time period of the Moon's revolution `=27.3days`. Obtain the mass of the earth in two different ways. `G=6.67xx10^(-11)Nm^(2)kg^(2)`.

Explanation

To find the mass of the Earth using the given data in two different ways, we will follow these steps:

### Method 1: Using the formula for gravitational acceleration

1. **Write the formula for gravitational acceleration**:
\[ g = \frac{GM}{R^2} \]
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