**GRAVITATIONAL FORCE.**  Mass of Earth = 5.9742 x 1024 kg Radius of Earth = 6378 km  Radius of the Sun = 696,340 km

Mass of Moon = 0.073483 x 1024 kg Radius of Moon = 1737 km 

Mass of the Sun = 1.9891 × 1030 kilograms

Distance between Earth and Sun = 149.6 x 106 km      G = 6.67408 x 10-11 m3×kg-1×s-2

The **Gravitational Force** between two masses can be calculated using Newton's Law of Gravitation:

\[
F = G \frac{m_1 m_2}{r^2}
\]

Where:
- \( F \) is the gravitational force,
- \( G = 6.67408 \times 10^{-11} \, \text{m}^3 \cdot \text{kg}^{-1} \cdot \text{s}^{-2} \) is the gravitational constant,
- \( m_1 \) and \( m_2 \) are the masses of the two objects,
- \( r \) is the distance between the centers of the two masses.

### Calculating the Gravitational Force Between the Earth and the Sun

Given dataThe **Gravitational Force** between two masses can be calculated using Newton's Law of Gravitation:

\[
F = G \frac{m_1 m_2}{r^2}
\]

Where:
- \( F \) is the gravitational force,
- \( G = 6.67408 \times 10^{-11} \, \text{m}^3 \cdot \text{kg}^{-1} \cdot \text{s}^{-2} \) is the gravitational constant,
- \( m_1 \) and \( m_2 \) are the masses of the two objects,
- \( r \) is the distance between the centers of the two masses.

### Calculating the Gravitational Force Between the Earth and the Sun

Given 
- Mass of the Earth (\( m_{\text{Earth}} \)) = \( 5.9742 \times 10^{24} \) kg,
- Mass of the Sun (\( m_{\text{Sun}} \)) = \( 1.9891 \times 10^{30} \) kg,
- Distance between Earth and Sun (\( r \)) = \( 149.6 \times 10^6 \) km = \( 149.6 \times 10^9 \) m.

Substituting the values into the formula:

\[
F = G \frac{(5.9742 \times 10^{24}) (1.9891 \times 10^{30})}{(149.6 \times 10^9)^2}
\]

### Simplifying the Calculation

We can plug in the values and compute the force. Let's calculate this.

The gravitational force between the Earth and the Sun is approximately:

\[
F \approx 3.54 \times 10^{22} \, \text{Newtons}
\]

Would you like a detailed breakdown of this calculation or more insights on gravitational forces?

Here are some related questions:
1. How does the gravitational force between two objects change with distance?
2. How does gravitational force affect planetary orbits?
3. What would happen if the distance between the Earth and the Sun changed?
4. How can we calculate the gravitational force between the Earth and the Moon?
5. How is the gravitational constant \( G \) determined experimentally?

**Tip:** Gravitational force decreases with the square of the distance between two objects. Doubling the distance reduces the force by a factor of four!

GRAVITATIONAL FORCE. Mass of Earth = 5.9742 x 10^24 kg Radius of Earth = 6378 km Radius of the Sun = 696,340 km Mass of Moon = 0.073483 x 10^24 kg Radius of Moon = 1737 km Mass of the Sun = 1.9891 × 10^30 kilograms Distance between Earth and Sun = 149.6 x 10^6 km G = 6.67408 x 10^-11 m^3×kg^-1×s^-2

Learn how to calculate the gravitational force between the Earth and the Sun using Newton's Law of Gravitation. Given data includes the mass of the Earth, the Sun, and the distance between them. This example problem is ideal for high school students studying physics.

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