What is the force of attraction between a 45  kg  woman and a 90  kg  man sitting 3.0  m  apart.

The force of attraction between two objects due to gravity can be calculated using Newton's Law of Universal Gravitation:

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

Where:
- \( F \) is the gravitational force,
- \( G \) is the gravitational constant, \( 6.674 \times 10^{-11} \, \text{Nm}^2/\text{kg}^2 \),
- \( m_1 \) is the mass of the first object (woman = 45 kg),
- \( m_2 \) is the mass of the second object (man = 90 kg),
- \( r \) is the distance between them (3.0 m).

Let's calculate this.

\[
F = \frac{(6.674 \times 10^{-11}) \times 45 \times 90}{(3.0)^2}
\]

First, I'll calculate this value.The gravitational force of attraction between the 45 kg woman and the 90 kg man sitting 3.0 meters apart is approximately \( 3.00 \times 10^{-8} \, \text{N} \). This is an extremely small force, which is why gravitational attraction between humans is generally negligible.

Would you like more details or have any further questions?

Here are 5 related questions for deeper exploration:
1. How does the gravitational force change if the distance between the two people is halved?
2. What would the force of attraction be if both people had twice their current masses?
3. How does the force of attraction change with varying distances according to the inverse-square law?
4. Why is gravitational force so weak between everyday objects compared to massive objects like planets?
5. What other factors, besides mass and distance, influence gravitational force in space?

**Tip:** Gravitational forces become more noticeable when dealing with extremely large masses, like planets or stars.

What is the force of attraction between a 45 kg woman and a 90 kg man sitting 3.0 m apart?

Calculate the gravitational force between a 45 kg woman and a 90 kg man sitting 3.0 meters apart using Newton's Law of Universal Gravitation. This problem explores key physics concepts, including the gravitational constant and the inverse-square law, making it suitable for high school students in Grades 9-12.

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