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

Options

A. Move towards each other
B. Move away from each other
C. Will become stationary
D. Keep floating at the same distance between them

Explanation

To solve the question regarding the astronauts floating in gravitational free space after losing contact with their spaceship, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Scenario**:
- The astronauts are in a region of space where there is no significant gravitational influence from nearby celestial bodies (gravitational free space).

2. **Identifying Forces**:
- In this scenario, the only significant force acting on the astronauts is the gravitational force between them. Since they are floating in space and not in contact with their spaceship, we can ignore any other forces.

3. **Gravitational Attraction**:
- According to Newton's law of universal gravitation, any two masses attract each other with a force that is proportional to the product of their masses and inversely proportional to the square of the distance between them.
- This means that the two astronauts will exert a gravitational force on each other.

4. **Movement Towards Each Other**:
- Since the gravitational force is attractive, both astronauts will begin to move towards each other. As they approach, the distance between them will decrease.

5. **Conclusion**:
- Therefore, the correct conclusion is that the two astronauts will move towards each other due to their mutual gravitational attraction.

### Final Answer:
The two astronauts will move towards each other.

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