Two astronauts are floating in gravitational free space after having lost contact with their spaceship. The two will:

Options

A. keep floating at the same distance between them
B. move towards each other
C. move away from each other
D. will become stationary

Answer

To solve the problem of the two astronauts floating in gravitational free space, we need to analyze the forces acting on them due to their masses.

### Step-by-Step Solution:

1. **Understanding the Scenario**:
- Two astronauts are floating in space, meaning they are in a microgravity environment where the effects of large gravitational bodies are negligible.
- They have lost contact with their spaceship, so they are not being influenced by any external forces.

2. **Identifying the Masses**:
- Let the masses of the two astronauts be \( m_1 \) and \( m_2 \).

3. **Gravitational Attraction**:
- According to Newton's law of universal gravitation, any two masses exert a gravitational force on each other. The force \( F_g \) between the two astronauts can be calculated using the formula:
\[ F_g = \frac{G \cdot m_1 \cdot m_2}{r^2} \]
- Here, \( G \) is the gravitational constant, and \( r \) is the distance between the two astronauts.

4. **Direction of the Force**:
- The gravitational force acts as an attractive force. This means that astronaut 1 will experience a force pulling them towards astronaut 2, and astronaut 2 will experience a force pulling them towards astronaut 1.

5. **Resulting Motion**:
- Since both astronauts experience equal and opposite gravitational forces, they will begin to move towards each other due to this mutual attraction.

6. **Conclusion**:
- Therefore, the correct answer is that the two astronauts will move towards each other.

### Final Answer:
The two astronauts will move towards each other (Option 2).