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The problem shown in the image asks to calculate the force of gravitation between the Earth and the Sun using the following dataThe problem shown in the image asks to calculate the force of gravitation between the Earth and the Sun using the following 

- Mass of the Earth \( M_{\text{Earth}} = 6 \times 10^{24} \, \text{kg} \)
- Mass of the Sun \( M_{\text{Sun}} = 2 \times 10^{30} \, \text{kg} \)
- Distance between the Earth and the Sun \( r = 1.5 \times 10^{11} \, \text{m} \)

### The formula to calculate gravitational force is given by Newton's Law of Universal Gravitation:

\[
F = G \frac{M_{\text{Earth}} \times M_{\text{Sun}}}{r^2}
\]

Where:
- \( F \) is the gravitational force,
- \( G \) is the gravitational constant \( G = 6.674 \times 10^{-11} \, \text{N} \, \text{m}^2/\text{kg}^2 \),
- \( M_{\text{Earth}} \) is the mass of the Earth,
- \( M_{\text{Sun}} \) is the mass of the Sun,
- \( r \) is the distance between the Earth and the Sun.

Let's calculate the force.

\[
F = \left( 6.674 \times 10^{-11} \right) \frac{(6 \times 10^{24}) \times (2 \times 10^{30})}{(1.5 \times 10^{11})^2}
\]

I will compute this.The gravitational force between the Earth and the Sun is approximately \( 3.56 \times 10^{22} \, \text{N} \) (Newtons).

Would you like any further explanation or details on this problem?

Here are five related questions to expand on the topic:
1. How does the gravitational force between two objects change if the distance between them doubles?
2. What would happen to Earth's orbit if the gravitational force suddenly disappeared?
3. How does the mass of an object affect the gravitational force it experiences?
4. How do we use gravitational forces to estimate the mass of celestial bodies?
5. Can gravitational forces influence the motion of light, and if so, how?

**Tip:** The gravitational force is always attractive and acts along the line joining the centers of two masses.

Calculate the force of gravitation between the Earth and the Sun, given the mass of the Earth is 6 × 10^24 kg, the mass of the Sun is 2 × 10^30 kg, and the average distance between the two is 1.5 × 10^11 m.

Learn how to calculate the gravitational force between Earth and the Sun using Newton's Law of Universal Gravitation. This physics problem involves the mass of Earth (6 × 10^24 kg), the mass of the Sun (2 × 10^30 kg), and the distance between them (1.5 × 10^11 m). Suitable for Grades 9-12 students.

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