determine the gravitational force if the mass of two bodies are 80 kg and 200 kg and they are separated by a distance of 6m




The gravitational force \( F \) between two masses \( m_1 \) and \( m_2 \) separated by a distance \( r \) is given by Newton's Law of Universal Gravitation:

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

Where:
- \( G \) is the gravitational constant, \( G = 6.674 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \)
- \( m_1 = 80 \, \text{kg} \)
- \( m_2 = 200 \, \text{kg} \)
- \( r = 6 \, \text{m} \)

Substituting these values into the formula:

\[
F = \left( 6.674 \times 10^{-11} \right) \frac{(80)(200)}{6^2}
\]

Now, let's calculate the gravitational force.The gravitational force between the two bodies is approximately \( 2.97 \times 10^{-8} \, \text{N} \) (Newtons).

Do you have any questions or would you like more details?

Here are some related questions to expand on this:
1. How does the gravitational force change if the distance between the masses is halved?
2. What would happen if one of the masses were doubled while keeping the distance the same?
3. How does the gravitational force compare to other forces, like electric or magnetic forces, between two objects?
4. What would the gravitational force be if the masses were placed on a celestial body like the Moon?
5. How does this result relate to gravitational acceleration on Earth?

**Tip**: The gravitational force between two objects is extremely small unless the objects are very massive, such as planets or stars.

Determine the gravitational force if the mass of two bodies are 80 kg and 200 kg and they are separated by a distance of 6m.

Learn how to calculate the gravitational force between two bodies with masses 80 kg and 200 kg separated by a distance of 6 meters. Using Newton's Law of Universal Gravitation, the gravitational force is approximately 2.97 x 10^-8 N. Suitable for students in Grades 9-12.

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