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The question asks for the gravitational attraction between two spherical objects using the formula for gravitational force:

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

Where:
- \( G = 6.67 \times 10^{-11} \, \text{N}\, \text{m}^2/\text{kg}^2 \) is the gravitational constant,
- \( m_1 = 200 \, \text{kg} \) is the mass of the first object,
- \( m_2 = 500 \, \text{kg} \) is the mass of the second object,
- \( r = 25 \, \text{m} \) is the distance between the centers of the objects.

Let's calculate:

\[
F = \frac{(6.67 \times 10^{-11}) \times 200 \times 500}{25^2}
\]

First, simplify the denominator:

\[
25^2 = 625
\]

Now, plug the values into the formula:

\[
F = \frac{(6.67 \times 10^{-11}) \times 100000}{625}
\]

Next, simplify the numerator:

\[
6.67 \times 10^{-11} \times 100000 = 6.67 \times 10^{-6}
\]

Now divide by 625:

\[
F = \frac{6.67 \times 10^{-6}}{625} = 1.0672 \times 10^{-8} \, \text{N}
\]

This rounds to approximately:

\[
F \approx 1.1 \times 10^{-8} \, \text{N}
\]

Thus, the gravitational force is closest to option **A (1.1 × 10⁻⁸ N)**.

Would you like a deeper explanation of any step? 

Here are some related questions:
1. How does the gravitational force vary with distance?
2. How would the force change if the mass of one object doubled?
3. What happens to the force if the distance between the objects is halved?
4. How does Newton's law of gravitation apply to planetary motion?
5. What would happen to the force if the masses were much smaller, like that of two people?

**Tip:** Gravitational force is always attractive and becomes weaker as the distance between the objects increases.

Two spherical objects have masses of 200 kg and 500 kg. Their centers are separated by a distance of 25 m. Find the gravitational attraction between them. G = 6.67 x 10⁻¹¹ N m²/kg²

Calculate the gravitational attraction between two spherical objects with masses of 200 kg and 500 kg separated by 25 m using Newton's Law of Universal Gravitation. Includes step-by-step breakdown with gravitational constant G = 6.67 x 10⁻¹¹ N m²/kg². Suitable for high school students.

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