Assuming the earth b to be a homogeneous sphere determine the density of the earth from the following data. `g = 9.8 m//s^(2), G = 6.67 xx 10^(-11) Nm^(2) kg^(2)`, radius of the earth = 6372km.
Text Solution
AI Generated Solution
To determine the density of the Earth, we will use the formula for density, which is defined as mass per unit volume. We will also utilize the gravitational constant and the acceleration due to gravity to find the mass of the Earth.
### Step-by-Step Solution:
1. **Identify the given values**:
- Acceleration due to gravity, \( g = 9.8 \, \text{m/s}^2 \)
- Gravitational constant, \( G = 6.67 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \)
- Radius of the Earth, \( R = 6372 \, \text{km} = 6372 \times 10^3 \, \text{m} \)
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