Two object of different masses falling freely near the surface of moon would

Options

A. Have same velocities at any instant
B. Have different accelerations
C. Experience forces of some magnitude
D. Undergo a change in their inertia

Explanation

To solve the question regarding two objects of different masses falling freely near the surface of the Moon, we can analyze the situation step by step.

### Step-by-Step Solution:

1. **Understanding Free Fall**:
- When objects fall freely under the influence of gravity, they are said to be in free fall. This means they are only influenced by gravitational force and no other forces (like air resistance).

2. **Acceleration Due to Gravity**:
- On the Moon, the acceleration due to gravity is approximately \(1.6 \, \text{m/s}^2\). This value is constant regardless of the mass of the object.

3. **Effect of Mass on Falling Objects**:
- According to the principle of free fall, all objects, regardless of their mass, experience the same acceleration when falling freely in a vacuum (or near the surface of the Moon where air resistance is negligible).

4. **Velocity at Any Instant**:
- Since both objects experience the same acceleration due to gravity, they will also have the same velocity at any given instant during their fall. This means that if they are dropped simultaneously, they will fall together and reach the ground at the same time.

5. **Evaluating the Options**:
- **Option A**: Have same velocities at any instant - This is correct.
- **Option B**: Have different acceleration - This is incorrect; they have the same acceleration.
- **Option C**: Experience force of some magnitude - While they do experience gravitational force, this option is vague and does not specifically address the question about their motion.
- **Option D**: Undergo a change in their inertia - This is incorrect; inertia is a property of mass and does not change during free fall.

6. **Conclusion**:
- The correct answer is that the two objects will have the same velocities at any instant during their free fall.

### Final Answer:
The correct option is **A: have same velocities at any instant**.