Object Mass

To analyze the situation you presented, we need to understand how force affects the motion of the objects (labeled A, B, C, and D) given their mass and initial conditions.

### Key Information:
- **Mass of objects:**
- A: 0.5 kg
- B: 1 kg
- C: 2 kg
- D: 4 kg
- **Initial velocity:** All objects start at 0 cm/s.
- **Prepared force:** All objects receive a force equivalent to "4 clicks to the right."

**Assumptions:**
1. The same amount of force (in terms of acceleration produced) is applied to all objects.
2. We need to calculate the change in velocity for each object based on its mass.

### Key Formula:
To find the change in velocity (\( \Delta v \)), we can use Newton's second law of motion and the impulse-momentum theorem. The change in velocity can be determined from the formula:

\[
\Delta v = \frac{F \cdot t}{m}
\]

Where:
- \( F \) = force applied (not given, but assumed constant for each object)
- \( t \) = time duration over which the force is applied (not given, but assumed constant for each object)
- \( m \) = mass of the object

Since we don't have specific values for force or time, we can define the change in velocity in relation to the mass.

### Results Based on Assumptions:
Assuming all objects experience the same force and duration, the change in velocity will depend inversely on mass as per the formula above:

1. **Object A (0.5 kg)**:
- Change in velocity: \( \Delta v_A = \frac{F \cdot t}{0.5} \)

2. **Object B (1 kg)**:
- Change in velocity: \( \Delta v_B = \frac{F \cdot t}{1} \)

3. **Object C (2 kg)**:
- Change in velocity: \( \Delta v_C = \frac{F \cdot t}{2} \)

4. **Object D (4 kg)**:
- Change in velocity: \( \Delta v_D = \frac{F \cdot t}{4} \)

### Summary of Change in Velocity:
We can see that the change in velocity is inversely proportional to the mass:
- ** will have the largest change in velocity, since it has the smallest mass.
- **D** will have the smallest change in velocity, since it has the largest mass.

To numerically summarize without specific values for \( F \) and \( t \):

- \( \Delta v_A > \Delta v_B > \Delta v_C > \Delta v_D \)

If you have a specific value for the force or the time duration, you can compute the exact changes in velocity. If there is any additional information or clarification needed, feel free to ask!